# Category:Gamma Distribution

This category contains results about the Gamma distribution.

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

Let $\operatorname{Im} \left({X}\right) = \R_{\ge 0}$.

$X$ is said to have a Gamma distribution if it has probability density function:

$\displaystyle f_X\left({x}\right) = \frac{ \beta^\alpha x^{\alpha - 1} e^{-\beta x} } {\Gamma \left({\alpha}\right)}$

for $\alpha, \beta > 0$, where $\Gamma$ is the Gamma function.

This is written:

$X \sim \Gamma \left({\alpha, \beta}\right)$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Gamma Distribution"

The following 7 pages are in this category, out of 7 total.