Negative binomial distribution - © Rene Vapenik 2010

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Negative binomial distribution

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**Formulas**
$X\sim NB(r,p)$	$P(X=k)=\binom{k+r-1}{k}.p^{r}.(1-p)^{k}$
$E(X)=r\frac{p}{1-p}$	$D(X)=r\frac{p}{(1-p)^{2}$
$\gamma _{1}=\frac{1+p}{\sqrt{rp}}$	$\gamma _{2}=\frac{6}{r}+\frac{(1-p)^{2}}{rp}$

Probability mass function

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