What's the term for when a random variable $X$ has a higher probability of being greater than t than the probability of $Y$ being greater than $t$ for all real $t$? I recall reading a term for this somewhere but can't remember where, and this this turns out to be annoying to Google. I don't want to end up making up a new definition when one exists somewhere. Additionally, are there any other related notions of a random variable upper/lower bounding another? It doesn't really make sense to say $X > Y$ for example (unless maybe if the essential min of $X$ is strictly greater than the essential max of $Y$).
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$\begingroup$ en.wikipedia.org/wiki/Stochastic_dominance Concerning related concepts, see inter alia stats.stackexchange.com/questions/497207, stats.stackexchange.com/questions/291675, stats.stackexchange.com/questions/328860, stats.stackexchange.com/questions/122381, and other links from a site search. $\endgroup$ – whuber♦ Dec 2 '20 at 19:29
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1$\begingroup$ thank you---this is it! $\endgroup$ – user3697389 Dec 2 '20 at 22:55
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