- #1
TaPaKaH
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Suppose we have a function ##F:\mathbb{R}_+\to\mathbb{R}_+## such that ##\frac{F(y)}{y}## is decreasing.
Let ##x## and ##y## be some ##\mathbb{R}_+##-valued random variables.
Would ##\mathbb{E}x\leq\mathbb{E}y## imply that ##\mathbb{E}F(x)\leq\mathbb{E}F(y)##?
Let ##x## and ##y## be some ##\mathbb{R}_+##-valued random variables.
Would ##\mathbb{E}x\leq\mathbb{E}y## imply that ##\mathbb{E}F(x)\leq\mathbb{E}F(y)##?