Suppose I have a random variable $x$ and $E[x] =y$. Moreover $E[x^2] \leq M$. I have $E[\frac{x}{\sqrt{x^2 + c}}y]$ where $c$ is some positive constant. My question is can be show a (tight) lower bound to the above exression?
2026-03-27 06:15:18.1774592118
Lower bound to expectation expression
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