Definition: Standard uniform distribution

Index: The Book of Statistical Proofs ▷ Probability Distributions ▷ Univariate continuous distributions ▷ Continuous uniform distribution ▷ Standard uniform distribution

Definition: Let $X$ be a random variable. Then, $X$ is said to be standard uniformly distributed, if $X$ follows a continuous uniform distribution with minimum $a = 0$ and maximum $b = 1$:

\[\label{eq:suni} X \sim \mathcal{U}(0, 1) \; .\]

 

Sources:

• Wikipedia (2021): "Continuous uniform distribution"; in: Wikipedia, the free encyclopedia, retrieved on 2021-07-23; URL: https://en.wikipedia.org/wiki/Continuous_uniform_distribution#Standard_uniform.

Metadata: ID: D157 | shortcut: suni | author: JoramSoch | date: 2021-07-23, 17:32.