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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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. The following rules describe cases when one random variable is stochastically less than or equal to another. Strict version of some of these rules also exist.