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Vinony's link graph records 12 inbound references to 连续映射定理, and connects out to convergence of random variables, International Standard Book Number and digital object identifier.
Vinony files it under Theorems in probability theory and Theorems in statistics.
Vinony links it to 7 Wikipedia language editions.
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Article · 中文
概率论中，连续映射定理（英語：Continuous mapping theorem）指出连续函数保持极限，即使其参数是一列随机变量。 海涅定义下的连续函数是指将收敛数列映为收敛数列的函数：如果 那么 。连续映射定理指出，如果把确定的数列替换为一列随机变量，把通常的收敛定义替换为某种随机变量的收敛定义，那么这个命题依然成立。这个定理第一次由)证明，因此有时又被称作Mann–Wald定理。
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Connections
convergence of random variables
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International Standard Book Number
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digital object identifier
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probability theory
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continuous function
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JSTOR
Organization
metric space
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Abraham Wald
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Banach fixed-point theorem
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discontinuity
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Slutsky's theorem
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Takeshi Amemiya
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Patrick Billingsley
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Henry Mann
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random element
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pushforward measure
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Annals of Mathematical Statistics
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