Definition: Discrete uniform distribution

Index: The Book of Statistical Proofs ▷ Probability Distributions ▷ Univariate discrete distributions ▷ Discrete uniform distribution ▷ Definition

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

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

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

 

Sources:

• Wikipedia (2020): "Discrete uniform distribution"; in: Wikipedia, the free encyclopedia, retrieved on 2020-07-28; URL: https://en.wikipedia.org/wiki/Discrete_uniform_distribution.

Metadata: ID: D88 | shortcut: duni | author: JoramSoch | date: 2020-07-28, 04:05.