Definition: Continuous uniform distribution

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

Definition: Let $X$ be a continuous random variable. Then, $X$ is said to be uniformly distributed with minimum $a$ and maximum $b$

\[\label{eq:cuni} X \sim \mathcal{U}(a, b) \; ,\]

if and only if each value between and including $a$ and $b$ occurs with the same probability.

 

Sources:

• Wikipedia (2020): "Uniform distribution (continuous)"; in: Wikipedia, the free encyclopedia, retrieved on 2020-01-27; URL: https://en.wikipedia.org/wiki/Uniform_distribution_(continuous).

Metadata: ID: D3 | shortcut: cuni | author: JoramSoch | date: 2020-01-27, 14:05.