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) d x \leq \int_t^{-\infty} p_2(x) d x

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