Question: Show that a gamma (n, ) random variable, whose density is f (x) = e x(x)n1/(n 1)!, x>0 is stochastically increasing in n and stochastically

Show that a gamma (n, λ) random variable, whose density is f (x) = λe

−λx(λx)n−1/(n− 1)!, x>0 is stochastically increasing in n and stochastically decreasing in λ.

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