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I am looking for the family of distributions that satisfy the following condition:

$\int_{-1}^{+\infty}f(x)x d x=0$

and with this other conditions on $f(x)$:

$f(x)\ge 0 \text{ in }(-1,+\infty]$

$\int_{-1}^{+\infty}f(x) d x =1$

Any idea on how to solve it?

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    Necessarily, $\lim_{x\to\infty}f(x)=0$, if that helps.2012-04-17

0 Answers 0