# Martingale密度：差分、affine stability、公平增量與反例基礎 · 脈衝 R07

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-20261031-r07-martingale-foundations · 2026-10-14 · 100 題



## 1. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":1}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [1, -1], [-1, 1], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [1, -1], [-1, 1], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0001/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 2. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":2}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [2, -2], [-2, 2], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [2, -2], [-2, 2], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0002/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 3. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":3}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [3, -3], [-3, 3], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [3, -3], [-3, 3], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0003/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 4. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":4}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [4, -4], [-4, 4], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [4, -4], [-4, 4], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0004/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 5. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":5}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [5, -5], [-5, 5], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [5, -5], [-5, 5], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0005/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 6. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":6}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [6, -6], [-6, 6], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [6, -6], [-6, 6], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0006/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 7. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":7}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [7, -7], [-7, 7], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [7, -7], [-7, 7], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0007/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 8. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":8}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [8, -8], [-8, 8], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [8, -8], [-8, 8], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0008/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 9. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":9}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [9, -9], [-9, 9], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [9, -9], [-9, 9], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0009/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 10. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":10}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [10, -10], [-10, 10], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [10, -10], [-10, 10], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0010/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 11. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":11}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [11, -11], [-11, 11], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [11, -11], [-11, 11], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0011/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 12. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":12}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [12, -12], [-12, 12], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [12, -12], [-12, 12], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0012/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 13. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":13}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [13, -13], [-13, 13], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [13, -13], [-13, 13], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0013/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 14. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":14}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [14, -14], [-14, 14], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [14, -14], [-14, 14], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0014/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 15. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":15}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [15, -15], [-15, 15], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [15, -15], [-15, 15], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0015/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 16. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":16}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [16, -16], [-16, 16], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [16, -16], [-16, 16], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0016/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 17. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":17}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [17, -17], [-17, 17], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [17, -17], [-17, 17], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0017/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 18. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":18}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [18, -18], [-18, 18], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [18, -18], [-18, 18], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0018/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 19. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":19}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [19, -19], [-19, 19], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [19, -19], [-19, 19], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0019/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 20. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":20}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [20, -20], [-20, 20], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [20, -20], [-20, 20], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0020/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 21. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":21}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [21, -21], [-21, 21], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [21, -21], [-21, 21], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0021/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 22. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":22}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [22, -22], [-22, 22], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [22, -22], [-22, 22], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0022/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 23. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":23}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [23, -23], [-23, 23], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [23, -23], [-23, 23], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0023/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 24. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":24}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [24, -24], [-24, 24], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [24, -24], [-24, 24], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0024/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 25. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-constant-expectation-counterexample；資料={"amplitude":25}。請依 [X0,X1,X2,expectations,martingale,reason] 欄序回答。

查看答案與解釋(0, [25, -25], [-25, 25], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)

Wave4收束核對=(0, [25, -25], [-25, 25], [0, 0, 0], 否, constant_expectations_do_not_imply_conditional_martingale_steps)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0025/)

有限Martingale · qf-mod31-martdeep-constant-expectation-counterexample · candidate





## 26. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[1,-1,2,-2],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [1, -1], 0], [1, [2, -2], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [1, -1], 0], [1, [2, -2], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0026/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 27. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[2,-2,3,-3],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [2, -2], 0], [1, [3, -3], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [2, -2], 0], [1, [3, -3], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0027/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 28. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[3,-3,4,-4],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [3, -3], 0], [1, [4, -4], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [3, -3], 0], [1, [4, -4], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0028/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 29. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[4,-4,5,-5],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [4, -4], 0], [1, [5, -5], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [4, -4], 0], [1, [5, -5], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0029/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 30. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[5,-5,6,-6],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [5, -5], 0], [1, [6, -6], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [5, -5], 0], [1, [6, -6], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0030/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 31. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[6,-6,7,-7],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [6, -6], 0], [1, [7, -7], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [6, -6], 0], [1, [7, -7], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0031/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 32. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[7,-7,8,-8],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [7, -7], 0], [1, [8, -8], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [7, -7], 0], [1, [8, -8], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0032/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 33. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[8,-8,9,-9],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [8, -8], 0], [1, [9, -9], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [8, -8], 0], [1, [9, -9], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0033/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 34. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[9,-9,10,-10],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [9, -9], 0], [1, [10, -10], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [9, -9], 0], [1, [10, -10], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0034/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 35. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[10,-10,11,-11],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [10, -10], 0], [1, [11, -11], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [10, -10], 0], [1, [11, -11], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0035/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 36. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[11,-11,12,-12],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [11, -11], 0], [1, [12, -12], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [11, -11], 0], [1, [12, -12], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0036/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 37. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[12,-12,13,-13],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [12, -12], 0], [1, [13, -13], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [12, -12], 0], [1, [13, -13], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0037/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 38. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[13,-13,14,-14],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [13, -13], 0], [1, [14, -14], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [13, -13], 0], [1, [14, -14], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0038/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 39. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[14,-14,15,-15],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [14, -14], 0], [1, [15, -15], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [14, -14], 0], [1, [15, -15], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0039/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 40. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[15,-15,16,-16],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [15, -15], 0], [1, [16, -16], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [15, -15], 0], [1, [16, -16], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0040/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 41. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[16,-16,17,-17],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [16, -16], 0], [1, [17, -17], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [16, -16], 0], [1, [17, -17], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0041/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 42. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[17,-17,18,-18],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [17, -17], 0], [1, [18, -18], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [17, -17], 0], [1, [18, -18], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0042/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 43. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[18,-18,19,-19],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [18, -18], 0], [1, [19, -19], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [18, -18], 0], [1, [19, -19], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0043/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 44. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[19,-19,20,-20],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [19, -19], 0], [1, [20, -20], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [19, -19], 0], [1, [20, -20], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0044/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 45. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[20,-20,21,-21],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [20, -20], 0], [1, [21, -21], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [20, -20], 0], [1, [21, -21], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0045/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 46. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[21,-21,22,-22],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [21, -21], 0], [1, [22, -22], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [21, -21], 0], [1, [22, -22], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0046/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 47. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[22,-22,23,-23],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [22, -22], 0], [1, [23, -23], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [22, -22], 0], [1, [23, -23], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0047/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 48. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[23,-23,24,-24],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [23, -23], 0], [1, [24, -24], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [23, -23], 0], [1, [24, -24], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0048/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 49. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[24,-24,25,-25],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [24, -24], 0], [1, [25, -25], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [24, -24], 0], [1, [25, -25], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0049/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 50. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-difference-mean；資料={"increments":[25,-25,26,-26],"blocks":[0,0,1,1]}。請依 [conditional_rows,all_zero,classification] 欄序回答。

查看答案與解釋([[0, [25, -25], 0], [1, [26, -26], 0]], 是, conditional_mean_zero_difference)

Wave4收束核對=([[0, [25, -25], 0], [1, [26, -26], 0]], 是, conditional_mean_zero_difference)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0050/)

有限Martingale · qf-mod31-martdeep-difference-mean · candidate





## 51. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-12,"terminal":[-13,-11,-12,-12],"scale":-2,"shift":3}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-12, [-13, -11, -12, -12], -2, 3, 27, [29, 25, 27, 27], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-12, [-13, -11, -12, -12], -2, 3, 27, [29, 25, 27, 27], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0051/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 52. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-11,"terminal":[-12,-10,-11,-11],"scale":-1,"shift":4}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-11, [-12, -10, -11, -11], -1, 4, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-11, [-12, -10, -11, -11], -1, 4, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0052/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 53. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-10,"terminal":[-11,-9,-10,-10],"scale":0,"shift":5}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-10, [-11, -9, -10, -10], 0, 5, 5, [5, 5, 5, 5], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-10, [-11, -9, -10, -10], 0, 5, 5, [5, 5, 5, 5], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0053/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 54. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-9,"terminal":[-10,-8,-9,-9],"scale":1,"shift":6}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-9, [-10, -8, -9, -9], 1, 6, -3, [-4, -2, -3, -3], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-9, [-10, -8, -9, -9], 1, 6, -3, [-4, -2, -3, -3], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0054/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 55. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-8,"terminal":[-9,-7,-8,-8],"scale":2,"shift":7}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-8, [-9, -7, -8, -8], 2, 7, -9, [-11, -7, -9, -9], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-8, [-9, -7, -8, -8], 2, 7, -9, [-11, -7, -9, -9], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0055/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 56. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-7,"terminal":[-8,-6,-7,-7],"scale":-2,"shift":8}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-7, [-8, -6, -7, -7], -2, 8, 22, [24, 20, 22, 22], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-7, [-8, -6, -7, -7], -2, 8, 22, [24, 20, 22, 22], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0056/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 57. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-6,"terminal":[-7,-5,-6,-6],"scale":-1,"shift":9}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-6, [-7, -5, -6, -6], -1, 9, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-6, [-7, -5, -6, -6], -1, 9, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0057/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 58. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-5,"terminal":[-6,-4,-5,-5],"scale":0,"shift":10}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-5, [-6, -4, -5, -5], 0, 10, 10, [10, 10, 10, 10], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-5, [-6, -4, -5, -5], 0, 10, 10, [10, 10, 10, 10], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0058/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 59. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-4,"terminal":[-5,-3,-4,-4],"scale":1,"shift":11}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-4, [-5, -3, -4, -4], 1, 11, 7, [6, 8, 7, 7], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-4, [-5, -3, -4, -4], 1, 11, 7, [6, 8, 7, 7], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0059/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 60. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-3,"terminal":[-4,-2,-3,-3],"scale":2,"shift":12}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-3, [-4, -2, -3, -3], 2, 12, 6, [4, 8, 6, 6], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-3, [-4, -2, -3, -3], 2, 12, 6, [4, 8, 6, 6], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0060/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 61. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-2,"terminal":[-3,-1,-2,-2],"scale":-2,"shift":13}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-2, [-3, -1, -2, -2], -2, 13, 17, [19, 15, 17, 17], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-2, [-3, -1, -2, -2], -2, 13, 17, [19, 15, 17, 17], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0061/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 62. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":-1,"terminal":[-2,0,-1,-1],"scale":-1,"shift":14}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(-1, [-2, 0, -1, -1], -1, 14, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(-1, [-2, 0, -1, -1], -1, 14, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0062/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 63. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":0,"terminal":[-1,1,0,0],"scale":0,"shift":15}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(0, [-1, 1, 0, 0], 0, 15, 15, [15, 15, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(0, [-1, 1, 0, 0], 0, 15, 15, [15, 15, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0063/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 64. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":1,"terminal":[0,2,1,1],"scale":1,"shift":16}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(1, [0, 2, 1, 1], 1, 16, 17, [16, 18, 17, 17], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(1, [0, 2, 1, 1], 1, 16, 17, [16, 18, 17, 17], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0064/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 65. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":2,"terminal":[1,3,2,2],"scale":2,"shift":17}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(2, [1, 3, 2, 2], 2, 17, 21, [19, 23, 21, 21], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(2, [1, 3, 2, 2], 2, 17, 21, [19, 23, 21, 21], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0065/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 66. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":3,"terminal":[2,4,3,3],"scale":-2,"shift":18}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(3, [2, 4, 3, 3], -2, 18, 12, [14, 10, 12, 12], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(3, [2, 4, 3, 3], -2, 18, 12, [14, 10, 12, 12], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0066/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 67. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":4,"terminal":[3,5,4,4],"scale":-1,"shift":19}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(4, [3, 5, 4, 4], -1, 19, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(4, [3, 5, 4, 4], -1, 19, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0067/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 68. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":5,"terminal":[4,6,5,5],"scale":0,"shift":20}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(5, [4, 6, 5, 5], 0, 20, 20, [20, 20, 20, 20], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(5, [4, 6, 5, 5], 0, 20, 20, [20, 20, 20, 20], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0068/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 69. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":6,"terminal":[5,7,6,6],"scale":1,"shift":21}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(6, [5, 7, 6, 6], 1, 21, 27, [26, 28, 27, 27], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(6, [5, 7, 6, 6], 1, 21, 27, [26, 28, 27, 27], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0069/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 70. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":7,"terminal":[6,8,7,7],"scale":2,"shift":22}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(7, [6, 8, 7, 7], 2, 22, 36, [34, 38, 36, 36], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(7, [6, 8, 7, 7], 2, 22, 36, [34, 38, 36, 36], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0070/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 71. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":8,"terminal":[7,9,8,8],"scale":-2,"shift":23}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(8, [7, 9, 8, 8], -2, 23, 7, [9, 5, 7, 7], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(8, [7, 9, 8, 8], -2, 23, 7, [9, 5, 7, 7], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0071/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 72. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":9,"terminal":[8,10,9,9],"scale":-1,"shift":24}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(9, [8, 10, 9, 9], -1, 24, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(9, [8, 10, 9, 9], -1, 24, 15, [16, 14, 15, 15], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0072/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 73. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":10,"terminal":[9,11,10,10],"scale":0,"shift":25}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(10, [9, 11, 10, 10], 0, 25, 25, [25, 25, 25, 25], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(10, [9, 11, 10, 10], 0, 25, 25, [25, 25, 25, 25], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0073/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 74. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":11,"terminal":[10,12,11,11],"scale":1,"shift":26}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(11, [10, 12, 11, 11], 1, 26, 37, [36, 38, 37, 37], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(11, [10, 12, 11, 11], 1, 26, 37, [36, 38, 37, 37], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0074/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 75. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-affine-stability；資料={"initial":12,"terminal":[11,13,12,12],"scale":2,"shift":27}。請依 [initial,terminal,scale,shift,transformed_initial,transformed_terminal,martingale,certificate] 欄序回答。

查看答案與解釋(12, [11, 13, 12, 12], 2, 27, 51, [49, 53, 51, 51], 是, affine_transform_preserves_same_filtration_martingale)

Wave4收束核對=(12, [11, 13, 12, 12], 2, 27, 51, [49, 53, 51, 51], 是, affine_transform_preserves_same_filtration_martingale)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0075/)

有限Martingale · qf-mod31-martdeep-affine-stability · candidate





## 76. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":1,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(1, 1, [-1, 1], [1, 1], 2^1, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(1, 1, [-1, 1], [1, 1], 2^1, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0076/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 77. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":2,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(2, 1, [-2, 0, 2], [1, 2, 1], 2^2, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(2, 1, [-2, 0, 2], [1, 2, 1], 2^2, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0077/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 78. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":3,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(3, 1, [-3, -1, 1, 3], [1, 3, 3, 1], 2^3, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(3, 1, [-3, -1, 1, 3], [1, 3, 3, 1], 2^3, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0078/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 79. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":4,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(4, 1, [-4, -2, 0, 2, 4], [1, 4, 6, 4, 1], 2^4, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(4, 1, [-4, -2, 0, 2, 4], [1, 4, 6, 4, 1], 2^4, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0079/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 80. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":5,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(5, 1, [-5, -3, -1, 1, 3, 5], [1, 5, 10, 10, 5, 1], 2^5, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(5, 1, [-5, -3, -1, 1, 3, 5], [1, 5, 10, 10, 5, 1], 2^5, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0080/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 81. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":6,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(6, 1, [-6, -4, -2, 0, 2, 4, 6], [1, 6, 15, 20, 15, 6, 1], 2^6, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(6, 1, [-6, -4, -2, 0, 2, 4, 6], [1, 6, 15, 20, 15, 6, 1], 2^6, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0081/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 82. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":7,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(7, 1, [-7, -5, -3, -1, 1, 3, 5, 7], [1, 7, 21, 35, 35, 21, 7, 1], 2^7, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(7, 1, [-7, -5, -3, -1, 1, 3, 5, 7], [1, 7, 21, 35, 35, 21, 7, 1], 2^7, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0082/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 83. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":8,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(8, 1, [-8, -6, -4, -2, 0, 2, 4, 6, 8], [1, 8, 28, 56, 70, 56, 28, 8, 1], 2^8, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(8, 1, [-8, -6, -4, -2, 0, 2, 4, 6, 8], [1, 8, 28, 56, 70, 56, 28, 8, 1], 2^8, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0083/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 84. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":9,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(9, 1, [-9, -7, -5, -3, -1, 1, 3, 5, 7, 9], [1, 9, 36, 84, 126, 126, 84, 36, 9, 1], 2^9, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(9, 1, [-9, -7, -5, -3, -1, 1, 3, 5, 7, 9], [1, 9, 36, 84, 126, 126, 84, 36, 9, 1], 2^9, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0084/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 85. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":10,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(10, 1, [-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10], [1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1], 2^10, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(10, 1, [-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10], [1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1], 2^10, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0085/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 86. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":11,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(11, 1, [-11, -9, -7, -5, -3, -1, 1, 3, 5, 7, 9, 11], [1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1], 2^11, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(11, 1, [-11, -9, -7, -5, -3, -1, 1, 3, 5, 7, 9, 11], [1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1], 2^11, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0086/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 87. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":12,"scale":1}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(12, 1, [-12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12], [1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1], 2^12, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(12, 1, [-12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12], [1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1], 2^12, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0087/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 88. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":1,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(1, 2, [-2, 2], [1, 1], 2^1, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(1, 2, [-2, 2], [1, 1], 2^1, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0088/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 89. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":2,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(2, 2, [-4, 0, 4], [1, 2, 1], 2^2, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(2, 2, [-4, 0, 4], [1, 2, 1], 2^2, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0089/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 90. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":3,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(3, 2, [-6, -2, 2, 6], [1, 3, 3, 1], 2^3, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(3, 2, [-6, -2, 2, 6], [1, 3, 3, 1], 2^3, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0090/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 91. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":4,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(4, 2, [-8, -4, 0, 4, 8], [1, 4, 6, 4, 1], 2^4, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(4, 2, [-8, -4, 0, 4, 8], [1, 4, 6, 4, 1], 2^4, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0091/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 92. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":5,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(5, 2, [-10, -6, -2, 2, 6, 10], [1, 5, 10, 10, 5, 1], 2^5, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(5, 2, [-10, -6, -2, 2, 6, 10], [1, 5, 10, 10, 5, 1], 2^5, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0092/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 93. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":6,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(6, 2, [-12, -8, -4, 0, 4, 8, 12], [1, 6, 15, 20, 15, 6, 1], 2^6, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(6, 2, [-12, -8, -4, 0, 4, 8, 12], [1, 6, 15, 20, 15, 6, 1], 2^6, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0093/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 94. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":7,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(7, 2, [-14, -10, -6, -2, 2, 6, 10, 14], [1, 7, 21, 35, 35, 21, 7, 1], 2^7, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(7, 2, [-14, -10, -6, -2, 2, 6, 10, 14], [1, 7, 21, 35, 35, 21, 7, 1], 2^7, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0094/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 95. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":8,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(8, 2, [-16, -12, -8, -4, 0, 4, 8, 12, 16], [1, 8, 28, 56, 70, 56, 28, 8, 1], 2^8, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(8, 2, [-16, -12, -8, -4, 0, 4, 8, 12, 16], [1, 8, 28, 56, 70, 56, 28, 8, 1], 2^8, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0095/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 96. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":9,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(9, 2, [-18, -14, -10, -6, -2, 2, 6, 10, 14, 18], [1, 9, 36, 84, 126, 126, 84, 36, 9, 1], 2^9, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(9, 2, [-18, -14, -10, -6, -2, 2, 6, 10, 14, 18], [1, 9, 36, 84, 126, 126, 84, 36, 9, 1], 2^9, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0096/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 97. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":10,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(10, 2, [-20, -16, -12, -8, -4, 0, 4, 8, 12, 16, 20], [1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1], 2^10, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(10, 2, [-20, -16, -12, -8, -4, 0, 4, 8, 12, 16, 20], [1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1], 2^10, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0097/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 98. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":11,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(11, 2, [-22, -18, -14, -10, -6, -2, 2, 6, 10, 14, 18, 22], [1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1], 2^11, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(11, 2, [-22, -18, -14, -10, -6, -2, 2, 6, 10, 14, 18, 22], [1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1], 2^11, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0098/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 99. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":12,"scale":2}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(12, 2, [-24, -20, -16, -12, -8, -4, 0, 4, 8, 12, 16, 20, 24], [1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1], 2^12, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(12, 2, [-24, -20, -16, -12, -8, -4, 0, 4, 8, 12, 16, 20, 24], [1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1], 2^12, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0099/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate





## 100. Martingale深度

同一有限機率空間與filtration的精確模型。操作=martdeep-fair-partial-sum；資料={"steps":1,"scale":3}。請依 [steps,scale,support,multiplicities,total_paths,martingale,certificate] 欄序回答。

查看答案與解釋(1, 3, [-3, 3], [1, 1], 2^1, 是, independent_fair_signed_increments_have_conditional_mean_zero)

Wave4收束核對=(1, 3, [-3, 3], [1, 1], 2^1, 是, independent_fair_signed_increments_have_conditional_mean_zero)；依完整明示資料重算；常期望不足；差分須逐資訊block條件均值為零；不引入optional stopping、收斂、Markov或獨立增量聲明。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261031-r07-martingale-0100/)

有限Martingale · qf-mod31-martdeep-fair-partial-sum · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261031-r07-martingale-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261031-r07-martingale-foundations/validation-report.json)