Standard gamma distribution

Index: The Book of Statistical Proofs ▷ Probability Distributions ▷ Univariate continuous distributions ▷ Gamma distribution ▷ Standard gamma distribution

Definition: Let $X$ be a random variable. Then, $X$ is said to have a standard gamma distribution, if $X$ follows a gamma distribution with shape $a > 0$ and rate $b = 1$:

\[\label{eq:sgam} X \sim \mathrm{Gam}(a, 1) \; .\]

Sources:

JoramSoch (2017): "Gamma-distributed random numbers"; in: MACS – a new SPM toolbox for model assessment, comparison and selection, retrieved on 2020-05-26; URL: https://github.com/JoramSoch/MACS/blob/master/MD_gamrnd.m; DOI: 10.5281/zenodo.845404.
NIST/SEMATECH (2012): "Gamma distribution"; in: e-Handbook of Statistical Methods, ch. 1.3.6.6.11; URL: https://www.itl.nist.gov/div898/handbook/eda/section3/eda366b.htm; DOI: 10.18434/M32189.

Metadata: ID: D64 | shortcut: sgam | author: JoramSoch | date: 2020-05-26, 23:36.