# 估計量偏誤基礎 · 脈衝 R03

本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。

本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。

batch-20261014-advance-20261106-r03-estimator-bias-foundations · 2026-10-14 · 100 題

欄序為來源綁定的呈現補充；原始 JSONL 與數學答案不變。

[欄序與來源綁定資料](https://ocme.evemisslab.com/data/i18n/question-output-protocols.json)



## 1. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[1,3]],"laws":[[[1,10],[2,10],[3,10],[4,10]],[[2,14],[3,14],[4,14],[5,14]]],"statistic":[0,1,2,3],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 2, 3/2, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 2, 3/2, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0001/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 2. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[2,4]],"laws":[[[1,11],[2,11],[3,11],[5,11]],[[2,15],[3,15],[4,15],[6,15]]],"statistic":[0,1,3,4],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 1/2, 13/5, 21/10, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 1/2, 13/5, 21/10, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0002/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 3. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[3,5]],"laws":[[[1,12],[2,12],[3,12],[6,12]],[[2,16],[3,16],[4,16],[7,16]]],"statistic":[0,1,4,5],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 11/3, 19/6, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 11/3, 19/6, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0003/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 4. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[4,6]],"laws":[[[1,13],[2,13],[3,13],[7,13]],[[2,17],[3,17],[4,17],[8,17]]],"statistic":[0,1,5,6],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 2/3, 71/17, 179/51, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 2/3, 71/17, 179/51, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0004/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 5. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[5,7]],"laws":[[[1,14],[2,14],[3,14],[8,14]],[[2,18],[3,18],[4,18],[9,18]]],"statistic":[0,1,6,7],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 38/7, 69/14, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 38/7, 69/14, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0005/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 6. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[6,8]],"laws":[[[1,15],[2,15],[3,15],[9,15]],[[2,19],[3,19],[4,19],[10,19]]],"statistic":[0,1,7,8],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 3/4, 111/19, 387/76, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 3/4, 111/19, 387/76, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0006/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 7. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[7,9]],"laws":[[[1,16],[2,16],[3,16],[10,16]],[[2,20],[3,20],[4,20],[11,20]]],"statistic":[0,1,8,9],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 29/4, 27/4, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 29/4, 27/4, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0007/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 8. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[8,10]],"laws":[[[1,17],[2,17],[3,17],[11,17]],[[2,21],[3,21],[4,21],[12,21]]],"statistic":[0,1,9,10],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 4/5, 53/7, 237/35, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 4/5, 53/7, 237/35, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0008/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 9. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[9,11]],"laws":[[[1,18],[2,18],[3,18],[12,18]],[[2,22],[3,22],[4,22],[13,22]]],"statistic":[0,1,10,11],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 82/9, 155/18, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 82/9, 155/18, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0009/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 10. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[10,12]],"laws":[[[1,19],[2,19],[3,19],[13,19]],[[2,23],[3,23],[4,23],[14,23]]],"statistic":[0,1,11,12],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 5/6, 215/23, 1175/138, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 5/6, 215/23, 1175/138, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0010/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 11. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[11,13]],"laws":[[[1,20],[2,20],[3,20],[14,20]],[[2,24],[3,24],[4,24],[15,24]]],"statistic":[0,1,12,13],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 11, 21/2, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 11, 21/2, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0011/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 12. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[12,14]],"laws":[[[1,21],[2,21],[3,21],[15,21]],[[2,25],[3,25],[4,25],[16,25]]],"statistic":[0,1,13,14],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 6/7, 279/25, 1803/175, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 6/7, 279/25, 1803/175, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0012/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 13. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[13,15]],"laws":[[[1,22],[2,22],[3,22],[16,22]],[[2,26],[3,26],[4,26],[17,26]]],"statistic":[0,1,14,15],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 142/11, 273/22, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 142/11, 273/22, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0013/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 14. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[14,16]],"laws":[[[1,23],[2,23],[3,23],[17,23]],[[2,27],[3,27],[4,27],[18,27]]],"statistic":[0,1,15,16],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 7/8, 13, 97/8, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 7/8, 13, 97/8, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0014/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 15. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[15,17]],"laws":[[[1,24],[2,24],[3,24],[18,24]],[[2,28],[3,28],[4,28],[19,28]]],"statistic":[0,1,16,17],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 89/6, 43/3, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 89/6, 43/3, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0015/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 16. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[16,18]],"laws":[[[1,25],[2,25],[3,25],[19,25]],[[2,29],[3,29],[4,29],[20,29]]],"statistic":[0,1,17,18],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 8/9, 431/29, 3647/261, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 8/9, 431/29, 3647/261, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0016/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 17. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[17,19]],"laws":[[[1,26],[2,26],[3,26],[20,26]],[[2,30],[3,30],[4,30],[21,30]]],"statistic":[0,1,18,19],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 218/13, 423/26, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 218/13, 423/26, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0017/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 18. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[18,20]],"laws":[[[1,27],[2,27],[3,27],[21,27]],[[2,31],[3,31],[4,31],[22,31]]],"statistic":[0,1,19,20],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 9/10, 519/31, 4911/310, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 9/10, 519/31, 4911/310, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0018/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 19. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[19,21]],"laws":[[[1,28],[2,28],[3,28],[22,28]],[[2,32],[3,32],[4,32],[23,32]]],"statistic":[0,1,20,21],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 131/7, 255/14, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 131/7, 255/14, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0019/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 20. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[20,22]],"laws":[[[1,29],[2,29],[3,29],[23,29]],[[2,33],[3,33],[4,33],[24,33]]],"statistic":[0,1,21,22],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 10/11, 205/11, 195/11, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 10/11, 205/11, 195/11, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0020/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 21. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[21,23]],"laws":[[[1,30],[2,30],[3,30],[24,30]],[[2,34],[3,34],[4,34],[25,34]]],"statistic":[0,1,22,23],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 62/3, 121/6, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 62/3, 121/6, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0021/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 22. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[22,24]],"laws":[[[1,31],[2,31],[3,31],[25,31]],[[2,35],[3,35],[4,35],[26,35]]],"statistic":[0,1,23,24],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 11/12, 719/35, 8243/420, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 11/12, 719/35, 8243/420, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0022/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 23. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[23,25]],"laws":[[[1,32],[2,32],[3,32],[26,32]],[[2,36],[3,36],[4,36],[27,36]]],"statistic":[0,1,24,25],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 181/8, 177/8, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 181/8, 177/8, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0023/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 24. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[24,26]],"laws":[[[1,33],[2,33],[3,33],[27,33]],[[2,37],[3,37],[4,37],[28,37]]],"statistic":[0,1,25,26],"parameter":1}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(1, 12/13, 831/37, 10359/481, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(1, 12/13, 831/37, 10359/481, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0024/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 25. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-at-parameter；資料={"theta_values":[[1,2],[25,27]],"laws":[[[1,34],[2,34],[3,34],[28,34]],[[2,38],[3,38],[4,38],[29,38]]],"statistic":[0,1,26,27],"parameter":0}。請依 [parameter_index, theta_value, expectation, bias, certificate] 欄序回答。

查看答案與解釋(0, 1/2, 418/17, 819/34, expectation_from_same_theta_sampling_distribution)

Wave5封閉層核對=(0, 1/2, 418/17, 819/34, expectation_from_same_theta_sampling_distribution)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0025/)

估計量偏誤 · qf-mod37-bias-at-parameter · candidate





## 26. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[1,3]],"laws":[[[1,10],[2,10],[3,10],[4,10]],[[2,14],[3,14],[4,14],[5,14]]],"statistic":[0,1,2,3]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 2, 3/2], [1, 1/3, 13/7, 32/21]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 2, 3/2], [1, 1/3, 13/7, 32/21]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0026/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 27. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[2,4]],"laws":[[[1,11],[2,11],[3,11],[5,11]],[[2,15],[3,15],[4,15],[6,15]]],"statistic":[0,1,3,4]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 31/11, 51/22], [1, 1/2, 13/5, 21/10]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 31/11, 51/22], [1, 1/2, 13/5, 21/10]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0027/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 28. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[3,5]],"laws":[[[1,12],[2,12],[3,12],[6,12]],[[2,16],[3,16],[4,16],[7,16]]],"statistic":[0,1,4,5]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 11/3, 19/6], [1, 3/5, 27/8, 111/40]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 11/3, 19/6], [1, 3/5, 27/8, 111/40]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0028/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 29. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[4,6]],"laws":[[[1,13],[2,13],[3,13],[7,13]],[[2,17],[3,17],[4,17],[8,17]]],"statistic":[0,1,5,6]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 59/13, 105/26], [1, 2/3, 71/17, 179/51]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 59/13, 105/26], [1, 2/3, 71/17, 179/51]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0029/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 30. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[5,7]],"laws":[[[1,14],[2,14],[3,14],[8,14]],[[2,18],[3,18],[4,18],[9,18]]],"statistic":[0,1,6,7]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 38/7, 69/14], [1, 5/7, 5, 30/7]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 38/7, 69/14], [1, 5/7, 5, 30/7]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0030/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 31. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[6,8]],"laws":[[[1,15],[2,15],[3,15],[9,15]],[[2,19],[3,19],[4,19],[10,19]]],"statistic":[0,1,7,8]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 19/3, 35/6], [1, 3/4, 111/19, 387/76]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 19/3, 35/6], [1, 3/4, 111/19, 387/76]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0031/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 32. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[7,9]],"laws":[[[1,16],[2,16],[3,16],[10,16]],[[2,20],[3,20],[4,20],[11,20]]],"statistic":[0,1,8,9]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 29/4, 27/4], [1, 7/9, 67/10, 533/90]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 29/4, 27/4], [1, 7/9, 67/10, 533/90]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0032/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 33. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[8,10]],"laws":[[[1,17],[2,17],[3,17],[11,17]],[[2,21],[3,21],[4,21],[12,21]]],"statistic":[0,1,9,10]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 139/17, 261/34], [1, 4/5, 53/7, 237/35]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 139/17, 261/34], [1, 4/5, 53/7, 237/35]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0033/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 34. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[9,11]],"laws":[[[1,18],[2,18],[3,18],[12,18]],[[2,22],[3,22],[4,22],[13,22]]],"statistic":[0,1,10,11]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 82/9, 155/18], [1, 9/11, 93/11, 84/11]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 82/9, 155/18], [1, 9/11, 93/11, 84/11]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0034/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 35. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[10,12]],"laws":[[[1,19],[2,19],[3,19],[13,19]],[[2,23],[3,23],[4,23],[14,23]]],"statistic":[0,1,11,12]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 191/19, 363/38], [1, 5/6, 215/23, 1175/138]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 191/19, 363/38], [1, 5/6, 215/23, 1175/138]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0035/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 36. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[11,13]],"laws":[[[1,20],[2,20],[3,20],[14,20]],[[2,24],[3,24],[4,24],[15,24]]],"statistic":[0,1,12,13]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 11, 21/2], [1, 11/13, 41/4, 489/52]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 11, 21/2], [1, 11/13, 41/4, 489/52]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0036/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 37. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[12,14]],"laws":[[[1,21],[2,21],[3,21],[15,21]],[[2,25],[3,25],[4,25],[16,25]]],"statistic":[0,1,13,14]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 251/21, 481/42], [1, 6/7, 279/25, 1803/175]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 251/21, 481/42], [1, 6/7, 279/25, 1803/175]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0037/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 38. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[13,15]],"laws":[[[1,22],[2,22],[3,22],[16,22]],[[2,26],[3,26],[4,26],[17,26]]],"statistic":[0,1,14,15]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 142/11, 273/22], [1, 13/15, 157/13, 2186/195]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 142/11, 273/22], [1, 13/15, 157/13, 2186/195]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0038/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 39. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[14,16]],"laws":[[[1,23],[2,23],[3,23],[17,23]],[[2,27],[3,27],[4,27],[18,27]]],"statistic":[0,1,15,16]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 319/23, 615/46], [1, 7/8, 13, 97/8]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 319/23, 615/46], [1, 7/8, 13, 97/8]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0039/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 40. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[15,17]],"laws":[[[1,24],[2,24],[3,24],[18,24]],[[2,28],[3,28],[4,28],[19,28]]],"statistic":[0,1,16,17]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 89/6, 43/3], [1, 15/17, 195/14, 3105/238]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 89/6, 43/3], [1, 15/17, 195/14, 3105/238]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0040/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 41. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[16,18]],"laws":[[[1,25],[2,25],[3,25],[19,25]],[[2,29],[3,29],[4,29],[20,29]]],"statistic":[0,1,17,18]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 79/5, 153/10], [1, 8/9, 431/29, 3647/261]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 79/5, 153/10], [1, 8/9, 431/29, 3647/261]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0041/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 42. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[17,19]],"laws":[[[1,26],[2,26],[3,26],[20,26]],[[2,30],[3,30],[4,30],[21,30]]],"statistic":[0,1,18,19]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 218/13, 423/26], [1, 17/19, 79/5, 1416/95]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 218/13, 423/26], [1, 17/19, 79/5, 1416/95]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0042/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 43. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[18,20]],"laws":[[[1,27],[2,27],[3,27],[21,27]],[[2,31],[3,31],[4,31],[22,31]]],"statistic":[0,1,19,20]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 479/27, 931/54], [1, 9/10, 519/31, 4911/310]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 479/27, 931/54], [1, 9/10, 519/31, 4911/310]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0043/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 44. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[19,21]],"laws":[[[1,28],[2,28],[3,28],[22,28]],[[2,32],[3,32],[4,32],[23,32]]],"statistic":[0,1,20,21]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 131/7, 255/14], [1, 19/21, 283/16, 5639/336]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 131/7, 255/14], [1, 19/21, 283/16, 5639/336]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0044/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 45. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[20,22]],"laws":[[[1,29],[2,29],[3,29],[23,29]],[[2,33],[3,33],[4,33],[24,33]]],"statistic":[0,1,21,22]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 571/29, 1113/58], [1, 10/11, 205/11, 195/11]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 571/29, 1113/58], [1, 10/11, 205/11, 195/11]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0045/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 46. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[21,23]],"laws":[[[1,30],[2,30],[3,30],[24,30]],[[2,34],[3,34],[4,34],[25,34]]],"statistic":[0,1,22,23]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 62/3, 121/6], [1, 21/23, 333/17, 7302/391]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 62/3, 121/6], [1, 21/23, 333/17, 7302/391]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0046/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 47. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[22,24]],"laws":[[[1,31],[2,31],[3,31],[25,31]],[[2,35],[3,35],[4,35],[26,35]]],"statistic":[0,1,23,24]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 671/31, 1311/62], [1, 11/12, 719/35, 8243/420]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 671/31, 1311/62], [1, 11/12, 719/35, 8243/420]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0047/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 48. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[23,25]],"laws":[[[1,32],[2,32],[3,32],[26,32]],[[2,36],[3,36],[4,36],[27,36]]],"statistic":[0,1,24,25]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 181/8, 177/8], [1, 23/25, 43/2, 1029/50]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 181/8, 177/8], [1, 23/25, 43/2, 1029/50]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0048/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 49. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[24,26]],"laws":[[[1,33],[2,33],[3,33],[27,33]],[[2,37],[3,37],[4,37],[28,37]]],"statistic":[0,1,25,26]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 779/33, 1525/66], [1, 12/13, 831/37, 10359/481]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 779/33, 1525/66], [1, 12/13, 831/37, 10359/481]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0049/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 50. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-family-readback；資料={"theta_values":[[1,2],[25,27]],"laws":[[[1,34],[2,34],[3,34],[28,34]],[[2,38],[3,38],[4,38],[29,38]]],"statistic":[0,1,26,27]}。請依 [parameter_bias_rows, boundary] 欄序回答。

查看答案與解釋([[0, 1/2, 418/17, 819/34], [1, 25/27, 445/19, 11540/513]], bias_is_parameter_indexed_family)

Wave5封閉層核對=([[0, 1/2, 418/17, 819/34], [1, 25/27, 445/19, 11540/513]], bias_is_parameter_indexed_family)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0050/)

估計量偏誤 · qf-mod37-bias-family-readback · candidate





## 51. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[1,3]],"laws":[[[1,10],[2,10],[3,10],[4,10]],[[2,14],[3,14],[4,14],[5,14]]],"statistic":[0,1,2,3]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 3/2], [1, 32/21]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 3/2], [1, 32/21]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0051/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 52. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[2,4]],"laws":[[[1,11],[2,11],[3,11],[5,11]],[[2,15],[3,15],[4,15],[6,15]]],"statistic":[0,1,3,4]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 51/22], [1, 21/10]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 51/22], [1, 21/10]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0052/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 53. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[3,5]],"laws":[[[1,12],[2,12],[3,12],[6,12]],[[2,16],[3,16],[4,16],[7,16]]],"statistic":[0,1,4,5]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 19/6], [1, 111/40]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 19/6], [1, 111/40]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0053/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 54. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[4,6]],"laws":[[[1,13],[2,13],[3,13],[7,13]],[[2,17],[3,17],[4,17],[8,17]]],"statistic":[0,1,5,6]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 105/26], [1, 179/51]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 105/26], [1, 179/51]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0054/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 55. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[5,7]],"laws":[[[1,14],[2,14],[3,14],[8,14]],[[2,18],[3,18],[4,18],[9,18]]],"statistic":[0,1,6,7]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 69/14], [1, 30/7]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 69/14], [1, 30/7]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0055/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 56. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[6,8]],"laws":[[[1,15],[2,15],[3,15],[9,15]],[[2,19],[3,19],[4,19],[10,19]]],"statistic":[0,1,7,8]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 35/6], [1, 387/76]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 35/6], [1, 387/76]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0056/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 57. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[7,9]],"laws":[[[1,16],[2,16],[3,16],[10,16]],[[2,20],[3,20],[4,20],[11,20]]],"statistic":[0,1,8,9]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 27/4], [1, 533/90]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 27/4], [1, 533/90]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0057/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 58. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[8,10]],"laws":[[[1,17],[2,17],[3,17],[11,17]],[[2,21],[3,21],[4,21],[12,21]]],"statistic":[0,1,9,10]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 261/34], [1, 237/35]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 261/34], [1, 237/35]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0058/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 59. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[9,11]],"laws":[[[1,18],[2,18],[3,18],[12,18]],[[2,22],[3,22],[4,22],[13,22]]],"statistic":[0,1,10,11]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 155/18], [1, 84/11]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 155/18], [1, 84/11]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0059/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 60. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[10,12]],"laws":[[[1,19],[2,19],[3,19],[13,19]],[[2,23],[3,23],[4,23],[14,23]]],"statistic":[0,1,11,12]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 363/38], [1, 1175/138]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 363/38], [1, 1175/138]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0060/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 61. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[11,13]],"laws":[[[1,20],[2,20],[3,20],[14,20]],[[2,24],[3,24],[4,24],[15,24]]],"statistic":[0,1,12,13]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 21/2], [1, 489/52]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 21/2], [1, 489/52]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0061/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 62. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[12,14]],"laws":[[[1,21],[2,21],[3,21],[15,21]],[[2,25],[3,25],[4,25],[16,25]]],"statistic":[0,1,13,14]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 481/42], [1, 1803/175]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 481/42], [1, 1803/175]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0062/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 63. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[13,15]],"laws":[[[1,22],[2,22],[3,22],[16,22]],[[2,26],[3,26],[4,26],[17,26]]],"statistic":[0,1,14,15]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 273/22], [1, 2186/195]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 273/22], [1, 2186/195]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0063/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 64. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[14,16]],"laws":[[[1,23],[2,23],[3,23],[17,23]],[[2,27],[3,27],[4,27],[18,27]]],"statistic":[0,1,15,16]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 615/46], [1, 97/8]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 615/46], [1, 97/8]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0064/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 65. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[15,17]],"laws":[[[1,24],[2,24],[3,24],[18,24]],[[2,28],[3,28],[4,28],[19,28]]],"statistic":[0,1,16,17]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 43/3], [1, 3105/238]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 43/3], [1, 3105/238]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0065/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 66. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[16,18]],"laws":[[[1,25],[2,25],[3,25],[19,25]],[[2,29],[3,29],[4,29],[20,29]]],"statistic":[0,1,17,18]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 153/10], [1, 3647/261]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 153/10], [1, 3647/261]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0066/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 67. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[17,19]],"laws":[[[1,26],[2,26],[3,26],[20,26]],[[2,30],[3,30],[4,30],[21,30]]],"statistic":[0,1,18,19]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 423/26], [1, 1416/95]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 423/26], [1, 1416/95]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0067/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 68. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[18,20]],"laws":[[[1,27],[2,27],[3,27],[21,27]],[[2,31],[3,31],[4,31],[22,31]]],"statistic":[0,1,19,20]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 931/54], [1, 4911/310]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 931/54], [1, 4911/310]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0068/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 69. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[19,21]],"laws":[[[1,28],[2,28],[3,28],[22,28]],[[2,32],[3,32],[4,32],[23,32]]],"statistic":[0,1,20,21]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 255/14], [1, 5639/336]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 255/14], [1, 5639/336]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0069/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 70. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[20,22]],"laws":[[[1,29],[2,29],[3,29],[23,29]],[[2,33],[3,33],[4,33],[24,33]]],"statistic":[0,1,21,22]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 1113/58], [1, 195/11]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 1113/58], [1, 195/11]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0070/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 71. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[21,23]],"laws":[[[1,30],[2,30],[3,30],[24,30]],[[2,34],[3,34],[4,34],[25,34]]],"statistic":[0,1,22,23]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 121/6], [1, 7302/391]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 121/6], [1, 7302/391]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0071/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 72. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[22,24]],"laws":[[[1,31],[2,31],[3,31],[25,31]],[[2,35],[3,35],[4,35],[26,35]]],"statistic":[0,1,23,24]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 1311/62], [1, 8243/420]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 1311/62], [1, 8243/420]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0072/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 73. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[23,25]],"laws":[[[1,32],[2,32],[3,32],[26,32]],[[2,36],[3,36],[4,36],[27,36]]],"statistic":[0,1,24,25]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 177/8], [1, 1029/50]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 177/8], [1, 1029/50]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0073/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 74. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[24,26]],"laws":[[[1,33],[2,33],[3,33],[27,33]],[[2,37],[3,37],[4,37],[28,37]]],"statistic":[0,1,25,26]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 1525/66], [1, 10359/481]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 1525/66], [1, 10359/481]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0074/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 75. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-unbiased-audit；資料={"theta_values":[[1,2],[25,27]],"laws":[[[1,34],[2,34],[3,34],[28,34]],[[2,38],[3,38],[4,38],[29,38]]],"statistic":[0,1,26,27]}。請依 [parameter_biases, unbiased_all_parameters, boundary] 欄序回答。

查看答案與解釋([[0, 819/34], [1, 11540/513]], 否, unbiased_requires_every_theta)

Wave5封閉層核對=([[0, 819/34], [1, 11540/513]], 否, unbiased_requires_every_theta)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0075/)

估計量偏誤 · qf-mod37-bias-unbiased-audit · candidate





## 76. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[1,3]],"laws":[[[1,10],[2,10],[3,10],[4,10]],[[2,14],[3,14],[4,14],[5,14]]],"statistic":[0,1,2,3],"parameter":0,"outcome":0}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 0, 0, 3/2, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 0, 0, 3/2, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0076/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 77. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[2,4]],"laws":[[[1,11],[2,11],[3,11],[5,11]],[[2,15],[3,15],[4,15],[6,15]]],"statistic":[0,1,3,4],"parameter":1,"outcome":1}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 1, 1, 21/10, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 1, 1, 21/10, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0077/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 78. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[3,5]],"laws":[[[1,12],[2,12],[3,12],[6,12]],[[2,16],[3,16],[4,16],[7,16]]],"statistic":[0,1,4,5],"parameter":0,"outcome":2}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 2, 4, 19/6, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 2, 4, 19/6, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0078/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 79. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[4,6]],"laws":[[[1,13],[2,13],[3,13],[7,13]],[[2,17],[3,17],[4,17],[8,17]]],"statistic":[0,1,5,6],"parameter":1,"outcome":3}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 3, 6, 179/51, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 3, 6, 179/51, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0079/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 80. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[5,7]],"laws":[[[1,14],[2,14],[3,14],[8,14]],[[2,18],[3,18],[4,18],[9,18]]],"statistic":[0,1,6,7],"parameter":0,"outcome":0}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 0, 0, 69/14, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 0, 0, 69/14, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0080/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 81. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[6,8]],"laws":[[[1,15],[2,15],[3,15],[9,15]],[[2,19],[3,19],[4,19],[10,19]]],"statistic":[0,1,7,8],"parameter":1,"outcome":1}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 1, 1, 387/76, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 1, 1, 387/76, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0081/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 82. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[7,9]],"laws":[[[1,16],[2,16],[3,16],[10,16]],[[2,20],[3,20],[4,20],[11,20]]],"statistic":[0,1,8,9],"parameter":0,"outcome":2}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 2, 8, 27/4, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 2, 8, 27/4, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0082/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 83. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[8,10]],"laws":[[[1,17],[2,17],[3,17],[11,17]],[[2,21],[3,21],[4,21],[12,21]]],"statistic":[0,1,9,10],"parameter":1,"outcome":3}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 3, 10, 237/35, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 3, 10, 237/35, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0083/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 84. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[9,11]],"laws":[[[1,18],[2,18],[3,18],[12,18]],[[2,22],[3,22],[4,22],[13,22]]],"statistic":[0,1,10,11],"parameter":0,"outcome":0}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 0, 0, 155/18, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 0, 0, 155/18, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0084/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 85. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[10,12]],"laws":[[[1,19],[2,19],[3,19],[13,19]],[[2,23],[3,23],[4,23],[14,23]]],"statistic":[0,1,11,12],"parameter":1,"outcome":1}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 1, 1, 1175/138, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 1, 1, 1175/138, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0085/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 86. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[11,13]],"laws":[[[1,20],[2,20],[3,20],[14,20]],[[2,24],[3,24],[4,24],[15,24]]],"statistic":[0,1,12,13],"parameter":0,"outcome":2}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 2, 12, 21/2, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 2, 12, 21/2, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0086/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 87. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[12,14]],"laws":[[[1,21],[2,21],[3,21],[15,21]],[[2,25],[3,25],[4,25],[16,25]]],"statistic":[0,1,13,14],"parameter":1,"outcome":3}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 3, 14, 1803/175, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 3, 14, 1803/175, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0087/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 88. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[13,15]],"laws":[[[1,22],[2,22],[3,22],[16,22]],[[2,26],[3,26],[4,26],[17,26]]],"statistic":[0,1,14,15],"parameter":0,"outcome":0}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 0, 0, 273/22, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 0, 0, 273/22, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0088/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 89. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[14,16]],"laws":[[[1,23],[2,23],[3,23],[17,23]],[[2,27],[3,27],[4,27],[18,27]]],"statistic":[0,1,15,16],"parameter":1,"outcome":1}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 1, 1, 97/8, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 1, 1, 97/8, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0089/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 90. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[15,17]],"laws":[[[1,24],[2,24],[3,24],[18,24]],[[2,28],[3,28],[4,28],[19,28]]],"statistic":[0,1,16,17],"parameter":0,"outcome":2}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 2, 16, 43/3, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 2, 16, 43/3, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0090/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 91. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[16,18]],"laws":[[[1,25],[2,25],[3,25],[19,25]],[[2,29],[3,29],[4,29],[20,29]]],"statistic":[0,1,17,18],"parameter":1,"outcome":3}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 3, 18, 3647/261, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 3, 18, 3647/261, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0091/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 92. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[17,19]],"laws":[[[1,26],[2,26],[3,26],[20,26]],[[2,30],[3,30],[4,30],[21,30]]],"statistic":[0,1,18,19],"parameter":0,"outcome":0}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 0, 0, 423/26, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 0, 0, 423/26, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0092/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 93. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[18,20]],"laws":[[[1,27],[2,27],[3,27],[21,27]],[[2,31],[3,31],[4,31],[22,31]]],"statistic":[0,1,19,20],"parameter":1,"outcome":1}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 1, 1, 4911/310, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 1, 1, 4911/310, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0093/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 94. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[19,21]],"laws":[[[1,28],[2,28],[3,28],[22,28]],[[2,32],[3,32],[4,32],[23,32]]],"statistic":[0,1,20,21],"parameter":0,"outcome":2}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 2, 20, 255/14, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 2, 20, 255/14, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0094/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 95. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[20,22]],"laws":[[[1,29],[2,29],[3,29],[23,29]],[[2,33],[3,33],[4,33],[24,33]]],"statistic":[0,1,21,22],"parameter":1,"outcome":3}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 3, 22, 195/11, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 3, 22, 195/11, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0095/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 96. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[21,23]],"laws":[[[1,30],[2,30],[3,30],[24,30]],[[2,34],[3,34],[4,34],[25,34]]],"statistic":[0,1,22,23],"parameter":0,"outcome":0}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 0, 0, 121/6, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 0, 0, 121/6, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0096/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 97. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[22,24]],"laws":[[[1,31],[2,31],[3,31],[25,31]],[[2,35],[3,35],[4,35],[26,35]]],"statistic":[0,1,23,24],"parameter":1,"outcome":1}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 1, 1, 8243/420, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 1, 1, 8243/420, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0097/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 98. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[23,25]],"laws":[[[1,32],[2,32],[3,32],[26,32]],[[2,36],[3,36],[4,36],[27,36]]],"statistic":[0,1,24,25],"parameter":0,"outcome":2}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 2, 24, 177/8, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 2, 24, 177/8, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0098/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 99. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[24,26]],"laws":[[[1,33],[2,33],[3,33],[27,33]],[[2,37],[3,37],[4,37],[28,37]]],"statistic":[0,1,25,26],"parameter":1,"outcome":3}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(1, 3, 26, 10359/481, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(1, 3, 26, 10359/481, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0099/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate





## 100. 估計量偏誤

共同有限樣本空間、逐theta sampling law與同一total estimator。操作=bias-observed-boundary；資料={"theta_values":[[1,2],[25,27]],"laws":[[[1,34],[2,34],[3,34],[28,34]],[[2,38],[3,38],[4,38],[29,38]]],"statistic":[0,1,26,27],"parameter":0,"outcome":0}。請依 [parameter_index, outcome, estimate, bias, observed_value_suffices_for_property_claims, boundary] 欄序回答。

否是不由單次觀察宣稱其他統計性質，不是在比較這一次 estimate 是否數值上等於 bias。

查看答案與解釋(0, 0, 0, 819/34, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)

Wave5封閉層核對=(0, 0, 0, 819/34, 否, observed_estimate_not_bias_and_unbiased_not_zero_variance_consistency_sufficiency_or_minimum_MSE)；依完整明示資料獨立重算；Bias_theta(T)=E_theta[T]-theta且期望來自同一theta抽樣分布；unbiased要求每個theta；單一estimate不足且不推出零變異一致充分或最小MSE。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261106-r03-estimator-bias-0100/)

估計量偏誤 · qf-mod37-bias-observed-boundary · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261106-r03-estimator-bias-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261106-r03-estimator-bias-foundations/validation-report.json)