Saturday, 17 August 2013

Why are there two different versions of the mean and variance for negative binomial distributions

Why are there two different versions of the mean and variance for negative
binomial distributions

On a wiki proof site, I've seen these formulas used for the mean and
variance:
$E[X] = \frac{rp}{1-p}$ and $Var[X] = \frac{rp}{(1-p)^2}$. Yet on the Penn
State site, they have these two different formulas: $E[X] = \frac{r}{p}$
and $Var[X] = \frac{r(1-p)}{p^2}$.

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