Last Updated:2025/12/05
Sentence

分布関数の弱収束とある可測関数の期待値の収束を結びつける定理を適用することで、有界連続関数の期待値が分布関数の弱収束に伴って収束することを結論づけた。

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By applying the Helly-Bray theorem, we concluded that the expectations of bounded continuous functions converge whenever the cumulative distribution functions converge weakly.

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By applying the Helly-Bray theorem, we concluded that the expectations of bounded continuous functions converge whenever the cumulative distribution functions converge weakly.

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Related words

Helly-Bray theorem

Proper noun
Japanese Meaning
確率論における定理で、累積分布関数の弱収束と、特定の可測関数の期待値の収束との関係を示す定理
What is this buttons?

分布関数の弱収束とある可測関数の期待値の収束を結びつける定理を適用することで、有界連続関数の期待値が分布関数の弱収束に伴って収束することを結論づけた。

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