Standard Article

Uniform Distribution

  1. Lih-yuan Deng

Published Online: 15 JUL 2005

DOI: 10.1002/0470011815.b2a15167

Encyclopedia of Biostatistics

Encyclopedia of Biostatistics

How to Cite

Deng, L.-y. 2005. Uniform Distribution. Encyclopedia of Biostatistics. 8.

Author Information

  1. University of Memphis, Memphis, TN, USA

Publication History

  1. Published Online: 15 JUL 2005

Abstract

A discrete uniform distribution has constant probability for each integer within a stated range. A continuous uniform distribution has constant probability density within a stated range. The continuous uniform distribution in the range (0, 1) has connections with the probability integral transformation, and with the exponential, logistic, and beta distributions. Some characterizations of functions of two independent random variables are given.

Keywords:

  • discrete;
  • continuous;
  • exponential;
  • logistic;
  • beta;
  • probability integral;
  • characterization