User Udita

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awarded

Scholar

Apr 12, 2016 at 9:46

accepted

Is there a closed form expression for $E(X e^{-\mu \sqrt{X}})$, where $X\sim Poisson(\lambda)$ and $\mu >0$?

Apr 12, 2016 at 9:39

comment

Is there a closed form expression for $E(X e^{-\mu \sqrt{X}})$, where $X\sim Poisson(\lambda)$ and $\mu >0$?

ideally for all possible $\lambda$ and $\mu$...but for me the more interesting regime would be $\mu > \lambda$, but I am not sure if this would help in finding a tight upper bound.

Apr 8, 2016 at 6:09

awarded

Student

Apr 8, 2016 at 2:38

asked

Is there a closed form expression for $E(X e^{-\mu \sqrt{X}})$, where $X\sim Poisson(\lambda)$ and $\mu >0$?

Apr 7, 2016 at 20:52

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