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.