Stochastic Dominance

A distribution $p_2$ stochastically dominates distribution $p_2$ iff the Cumulative Distribution Function of $p_2$ strictly dominates that for $p_1$ for all $t$

${\int }_t^{-\infty }{p}_1(x)dx\le {\int }_t^{-\infty }{p}_2(x)dx$

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