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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 may be neither stochastically greater than, less than nor equal to another random variable . Many different orders exist, which have different applications. ==Usual stochastic order== A real random variable is less than a random variable in the "usual stochastic order" if : where denotes the probability of an event. This is sometimes denoted or . If additionally for some , then is stochastically strictly less than , sometimes denoted . 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
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