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A stochastic order quantifies the concept of one random variable being "bigger" than another. These are usually partial orders.

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.

See the Wikipedia article.