Expectation of Negative Binomial Distribution
Jump to navigation
Jump to search
Theorem
First Form
Let $X$ be a discrete random variable with the negative binomial distribution (first form) with parameters $n$ and $p$.
Then the expectation of $X$ is given by:
- $\expect X = \dfrac {n p} q$
where $q = 1 - p$.
Second Form
Let $X$ be a discrete random variable with the negative binomial distribution (second form) with parameters $n$ and $p$.
Then the expectation of $X$ is given by:
- $\expect X = \dfrac n p$