# 有限Martingale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-20261030-r03-martingale-foundations · 2026-10-14 · 100 題



## 1. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-12,-12,-12,-12],[-11,-12,-12,-12]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [[1, 0, [0, 1], [-11, -12]]], [[0, 0, -47/4, [-12], 否]], 否)

Wave4第四層核對=([], [[1, 0, [0, 1], [-11, -12]]], [[0, 0, -47/4, [-12], 否]], 否)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0001/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 2. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-11,-11,-11,-11],[-11,-11,-11,-11]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -11, [-11], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0002/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 3. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-10,-10,-10,-10],[-10,-10,-10,-10]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -10, [-10], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0003/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 4. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-9,-9,-9,-9],[-9,-9,-9,-9]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -9, [-9], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0004/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 5. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-8,-8,-8,-8],[-8,-8,-8,-8]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -8, [-8], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0005/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 6. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-7,-7,-7,-7],[-6,-7,-7,-7]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [[1, 0, [0, 1], [-6, -7]]], [[0, 0, -27/4, [-7], 否]], 否)

Wave4第四層核對=([], [[1, 0, [0, 1], [-6, -7]]], [[0, 0, -27/4, [-7], 否]], 否)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0006/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 7. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-6,-6,-6,-6],[-6,-6,-6,-6]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -6, [-6], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0007/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 8. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-5,-5,-5,-5],[-5,-5,-5,-5]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -5, [-5], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0008/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 9. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-4,-4,-4,-4],[-4,-4,-4,-4]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -4, [-4], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0009/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 10. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-3,-3,-3,-3],[-3,-3,-3,-3]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -3, [-3], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0010/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 11. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-2,-2,-2,-2],[-1,-2,-2,-2]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [[1, 0, [0, 1], [-1, -2]]], [[0, 0, -7/4, [-2], 否]], 否)

Wave4第四層核對=([], [[1, 0, [0, 1], [-1, -2]]], [[0, 0, -7/4, [-2], 否]], 否)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0011/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 12. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-1,-1,-1,-1],[-1,-1,-1,-1]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, -1, [-1], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0012/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 13. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[0,0,0,0],[0,0,0,0]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 0, [0], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 0, [0], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0013/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 14. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[1,1,1,1],[1,1,1,1]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, 1, [1], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0014/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 15. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[2,2,2,2],[2,2,2,2]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

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

Wave4第四層核對=([], [], [[0, 0, 2, [2], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0015/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 16. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[3,3,3,3],[4,3,3,3]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [[1, 0, [0, 1], [4, 3]]], [[0, 0, 13/4, [3], 否]], 否)

Wave4第四層核對=([], [[1, 0, [0, 1], [4, 3]]], [[0, 0, 13/4, [3], 否]], 否)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0016/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 17. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[4,4,4,4],[4,4,4,4]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 4, [4], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 4, [4], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0017/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 18. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[5,5,5,5],[5,5,5,5]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 5, [5], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 5, [5], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0018/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 19. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[6,6,6,6],[6,6,6,6]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 6, [6], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 6, [6], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0019/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 20. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[7,7,7,7],[7,7,7,7]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 7, [7], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 7, [7], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0020/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 21. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[8,8,8,8],[9,8,8,8]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [[1, 0, [0, 1], [9, 8]]], [[0, 0, 33/4, [8], 否]], 否)

Wave4第四層核對=([], [[1, 0, [0, 1], [9, 8]]], [[0, 0, 33/4, [8], 否]], 否)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0021/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 22. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[9,9,9,9],[9,9,9,9]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 9, [9], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 9, [9], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0022/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 23. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[10,10,10,10],[10,10,10,10]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 10, [10], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 10, [10], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0023/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 24. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[11,11,11,11],[11,11,11,11]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 11, [11], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 11, [11], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0024/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 25. 有限Martingale

同一有限probability space filtration與process。操作=martingale-qualification；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[12,12,12,12],[12,12,12,12]]}。請依 [nesting_failures,adaptedness_failures,conditional_steps,martingale] 欄序回答。

查看答案與解釋([], [], [[0, 0, 12, [12], 是]], 是)

Wave4第四層核對=([], [], [[0, 0, 12, [12], 是]], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0025/)

有限Martingale · qf-mod30-martingale-qualification · candidate





## 26. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-12,-12,-12,-12],[-12,-12,-12,-12]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0026/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 27. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-11,-11,-11,-11],[-11,-11,-11,-11]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0027/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 28. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-10,-10,-10,-10],[-10,-10,-10,-10]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0028/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 29. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-9,-9,-9,-9],[-9,-9,-9,-9]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0029/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 30. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-8,-8,-8,-8],[-8,-8,-8,-8]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0030/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 31. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-7,-7,-7,-7],[-7,-7,-7,-7]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0031/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 32. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-6,-6,-6,-6],[-6,-6,-6,-6]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0032/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 33. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-5,-5,-5,-5],[-5,-5,-5,-5]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0033/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 34. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-4,-4,-4,-4],[-4,-4,-4,-4]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0034/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 35. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-3,-3,-3,-3],[-3,-3,-3,-3]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0035/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 36. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-2,-2,-2,-2],[-2,-2,-2,-2]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0036/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 37. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-1,-1,-1,-1],[-1,-1,-1,-1]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0037/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 38. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[0,0,0,0],[0,0,0,0]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0038/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 39. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[1,1,1,1],[1,1,1,1]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0039/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 40. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[2,2,2,2],[2,2,2,2]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0040/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 41. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[3,3,3,3],[3,3,3,3]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0041/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 42. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[4,4,4,4],[4,4,4,4]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0042/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 43. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[5,5,5,5],[5,5,5,5]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0043/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 44. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[6,6,6,6],[6,6,6,6]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0044/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 45. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[7,7,7,7],[7,7,7,7]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0045/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 46. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[8,8,8,8],[8,8,8,8]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0046/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 47. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[9,9,9,9],[9,9,9,9]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0047/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 48. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[10,10,10,10],[10,10,10,10]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0048/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 49. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[11,11,11,11],[11,11,11,11]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0049/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 50. 有限Martingale

同一有限probability space filtration與process。操作=martingale-adaptedness；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[12,12,12,12],[12,12,12,12]]}。請依 [nesting_failures,adaptedness_failures,adapted] 欄序回答。

查看答案與解釋([], [], 是)

Wave4第四層核對=([], [], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0050/)

有限Martingale · qf-mod30-martingale-adaptedness · candidate





## 51. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-12,-12,-12,-12],[-12,-12,-12,-12]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -12, [-12], 是)

Wave4第四層核對=(0, 0, -12, [-12], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0051/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 52. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-11,-11,-11,-11],[-11,-11,-11,-11]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -11, [-11], 是)

Wave4第四層核對=(0, 0, -11, [-11], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0052/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 53. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-10,-10,-10,-10],[-10,-10,-10,-10]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -10, [-10], 是)

Wave4第四層核對=(0, 0, -10, [-10], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0053/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 54. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-9,-9,-9,-9],[-9,-9,-9,-9]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -9, [-9], 是)

Wave4第四層核對=(0, 0, -9, [-9], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0054/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 55. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-8,-8,-8,-8],[-8,-8,-8,-8]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -8, [-8], 是)

Wave4第四層核對=(0, 0, -8, [-8], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0055/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 56. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-7,-7,-7,-7],[-7,-7,-7,-7]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -7, [-7], 是)

Wave4第四層核對=(0, 0, -7, [-7], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0056/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 57. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-6,-6,-6,-6],[-6,-6,-6,-6]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -6, [-6], 是)

Wave4第四層核對=(0, 0, -6, [-6], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0057/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 58. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-5,-5,-5,-5],[-5,-5,-5,-5]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -5, [-5], 是)

Wave4第四層核對=(0, 0, -5, [-5], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0058/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 59. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-4,-4,-4,-4],[-4,-4,-4,-4]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -4, [-4], 是)

Wave4第四層核對=(0, 0, -4, [-4], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0059/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 60. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-3,-3,-3,-3],[-3,-3,-3,-3]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -3, [-3], 是)

Wave4第四層核對=(0, 0, -3, [-3], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0060/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 61. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-2,-2,-2,-2],[-2,-2,-2,-2]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -2, [-2], 是)

Wave4第四層核對=(0, 0, -2, [-2], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0061/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 62. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-1,-1,-1,-1],[-1,-1,-1,-1]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, -1, [-1], 是)

Wave4第四層核對=(0, 0, -1, [-1], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0062/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 63. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[0,0,0,0],[0,0,0,0]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 0, [0], 是)

Wave4第四層核對=(0, 0, 0, [0], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0063/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 64. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[1,1,1,1],[1,1,1,1]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 1, [1], 是)

Wave4第四層核對=(0, 0, 1, [1], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0064/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 65. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[2,2,2,2],[2,2,2,2]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 2, [2], 是)

Wave4第四層核對=(0, 0, 2, [2], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0065/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 66. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[3,3,3,3],[3,3,3,3]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 3, [3], 是)

Wave4第四層核對=(0, 0, 3, [3], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0066/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 67. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[4,4,4,4],[4,4,4,4]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 4, [4], 是)

Wave4第四層核對=(0, 0, 4, [4], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0067/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 68. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[5,5,5,5],[5,5,5,5]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 5, [5], 是)

Wave4第四層核對=(0, 0, 5, [5], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0068/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 69. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[6,6,6,6],[6,6,6,6]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 6, [6], 是)

Wave4第四層核對=(0, 0, 6, [6], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0069/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 70. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[7,7,7,7],[7,7,7,7]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 7, [7], 是)

Wave4第四層核對=(0, 0, 7, [7], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0070/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 71. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[8,8,8,8],[8,8,8,8]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 8, [8], 是)

Wave4第四層核對=(0, 0, 8, [8], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0071/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 72. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[9,9,9,9],[9,9,9,9]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 9, [9], 是)

Wave4第四層核對=(0, 0, 9, [9], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0072/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 73. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[10,10,10,10],[10,10,10,10]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 10, [10], 是)

Wave4第四層核對=(0, 0, 10, [10], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0073/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 74. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[11,11,11,11],[11,11,11,11]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 11, [11], 是)

Wave4第四層核對=(0, 0, 11, [11], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0074/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 75. 有限Martingale

同一有限probability space filtration與process。操作=martingale-conditional-step；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[12,12,12,12],[12,12,12,12]],"time":0,"block_label":0}。請依 [time,block_label,conditional_mean,current_values,pass] 欄序回答。

查看答案與解釋(0, 0, 12, [12], 是)

Wave4第四層核對=(0, 0, 12, [12], 是)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0075/)

有限Martingale · qf-mod30-martingale-conditional-step · candidate





## 76. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-12,-12,-12,-12],[-12,-12,-12,-12]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-12, -12], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-12, -12], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0076/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 77. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-11,-11,-11,-11],[-11,-11,-11,-11]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-11, -11], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-11, -11], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0077/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 78. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-10,-10,-10,-10],[-10,-10,-10,-10]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-10, -10], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-10, -10], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0078/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 79. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-9,-9,-9,-9],[-9,-9,-9,-9]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-9, -9], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-9, -9], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0079/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 80. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-8,-8,-8,-8],[-8,-8,-8,-8]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-8, -8], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-8, -8], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0080/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 81. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-7,-7,-7,-7],[-7,-7,-7,-7]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-7, -7], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-7, -7], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0081/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 82. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-6,-6,-6,-6],[-6,-6,-6,-6]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-6, -6], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-6, -6], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0082/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 83. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-5,-5,-5,-5],[-5,-5,-5,-5]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-5, -5], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-5, -5], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0083/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 84. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-4,-4,-4,-4],[-4,-4,-4,-4]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-4, -4], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-4, -4], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0084/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 85. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-3,-3,-3,-3],[-3,-3,-3,-3]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-3, -3], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-3, -3], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0085/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 86. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-2,-2,-2,-2],[-2,-2,-2,-2]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-2, -2], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-2, -2], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0086/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 87. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[-1,-1,-1,-1],[-1,-1,-1,-1]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([-1, -1], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([-1, -1], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0087/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 88. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[0,0,0,0],[0,0,0,0]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([0, 0], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([0, 0], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0088/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 89. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[1,1,1,1],[1,1,1,1]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([1, 1], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([1, 1], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0089/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 90. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[2,2,2,2],[2,2,2,2]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([2, 2], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([2, 2], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0090/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 91. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[3,3,3,3],[3,3,3,3]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([3, 3], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([3, 3], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0091/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 92. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[4,4,4,4],[4,4,4,4]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([4, 4], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([4, 4], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0092/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 93. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[5,5,5,5],[5,5,5,5]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([5, 5], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([5, 5], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0093/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 94. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[6,6,6,6],[6,6,6,6]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([6, 6], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([6, 6], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0094/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 95. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[7,7,7,7],[7,7,7,7]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([7, 7], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([7, 7], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0095/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 96. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[8,8,8,8],[8,8,8,8]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([8, 8], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([8, 8], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0096/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 97. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[9,9,9,9],[9,9,9,9]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([9, 9], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([9, 9], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0097/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 98. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[10,10,10,10],[10,10,10,10]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([10, 10], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([10, 10], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0098/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 99. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[11,11,11,11],[11,11,11,11]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([11, 11], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([11, 11], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0099/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate





## 100. 有限Martingale

同一有限probability space filtration與process。操作=martingale-expectation-invariant；資料={"masses":[[1,4],[1,4],[1,4],[1,4]],"partitions":[[0,0,0,0],[0,0,1,1]],"process_values":[[12,12,12,12],[12,12,12,12]]}。請依 [expectations,invariant,boundary] 欄序回答。

查看答案與解釋([12, 12], 是, expectation_invariance_is_consequence_not_definition)

Wave4第四層核對=([12, 12], 是, expectation_invariance_is_consequence_not_definition)；依完整明示資料重算；完整有限／symbolic tail證書不自動升格為未聲明的一般定理；逐時核adapted integrable及conditional expectation等式；零質量block只a.s.且不推出Markov stopping或convergence。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261030-r03-martingale-0100/)

有限Martingale · qf-mod30-martingale-expectation-invariant · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261030-r03-martingale-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261030-r03-martingale-foundations/validation-report.json)