Last Updated:2025/12/05

To apply the Optional Sampling Theorem we introduced a stopping time: the first time the martingale exits the interval, which is measurable with respect to the filtration and almost surely finite.

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To apply the Optional Sampling Theorem we introduced a stopping time: the first time the martingale exits the interval, which is measurable with respect to the filtration and almost surely finite.

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オプショナルサンプリング定理を適用するために、マルチンゲールが区間を外れる最初の時刻として、フィルトレーションに基づいて決定されほとんど確実に有限であるような停止時刻を定義した。

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