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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Stochastic ordering ： ウィキペディア英語版 Stochastic ordering In probability theory and statistics, a stochastic order quantifies the concept of one random variable being "bigger" than another. These are usually partial orders, so that one random variable $A$ may be neither stochastically greater than, less than nor equal to another random variable $B$. Many different orders exist, which have different applications. ==Usual stochastic order== A real random variable $A$ is less than a random variable $B$ in the "usual stochastic order" if :$\backslash Pr(A>x)\; \backslash le\; \backslash Pr(B>x)\backslash textx\; \backslash in\; (-\backslash infty,\backslash infty),$ where $\backslash Pr(\backslash cdot)$ denotes the probability of an event. This is sometimes denoted $A\; \backslash preceq\; B$ or $A\; \backslash le\_\; B$. If additionally for some $x$, then $A$ is stochastically strictly less than $B$, sometimes denoted $A\; \backslash prec\; B$. In decision theory, under this circumstance ''B'' is said to be first-order stochastically dominant over ''A''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Stochastic ordering」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.