Definition:Negative Binomial Distribution

Definition
Let $X$ be a discrete random variable on a probability space $\left({\Omega, \Sigma, \Pr}\right)$.

There are two forms of the negative binomial distribution, as follows:

Notation
It is sometimes written (in either form):
 * $X \sim \operatorname{NB} \left({n, p}\right)$

but there is no standard notation for this distribution.

Also see

 * Negative Binomial Distribution Gives Rise to Probability Mass Function