Day 9 : Gamma

Day 9 : Gamma#

The Gamma distribution is a two-parameter family of continuous probability distributions.

The probability density function is given by

\[f(x) =\frac{\beta^{\alpha}}{\Gamma(\alpha)} x^{\alpha-1} e^{-\beta x}, \qquad x\geq 0.\]

The cumulative distribution function is given by

\[F(x) =\frac{1}{\Gamma(\alpha)} \gamma(\alpha, \beta x), , \qquad x\geq 0,\]

where \(\gamma(\alpha, \beta x)\) is the lower incomplete gamma function.

πŸ”” Random Facts πŸ””#