rotten news relay - sci.math.research - Super-modularity preserved by Expectations?

Subject: Super-modularity preserved by Expectations?
From: patrick
Newsgroups: sci.math.research
Organization: World Wide Maths
Date: Thu, 13 Jul 2017 20:26 UTC

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From: plni@yahoo.com (patrick)
Newsgroups: sci.math.research
Subject: Super-modularity preserved by Expectations?
Date: Thu, 13 Jul 2017 14:26:34 -0600
Organization: World Wide Maths
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Consider a function $f(a,b)$ that is super-modular in $(a,b)$,
increasing in both variables and convex. Consider a random variable
$\tilde{a}$, We shall denote by $E_a$ the expectations of $f$ wrt to
$\tilde{a}$, assumed to exist.

Is it true that $E_a(f(\tilde{a},b)$ is super-modular in
$(E(\tilde{a},b)$?

Thanks in advance for any hint!

Subject	Author
Super-modularity preserved by Expectations?	patrick

BOFH excuse #148: Insert coin for new game

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