40. Rectangular (Uniform) Continuous Distribution

  1. Catherine Forbes1,
  2. Merran Evans1,
  3. Nicholas Hastings2 and
  4. Brian Peacock3

Published Online: 16 DEC 2010

DOI: 10.1002/9780470627242.ch40

Statistical Distributions, Fourth Edition

Statistical Distributions, Fourth Edition

How to Cite

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2010) Rectangular (Uniform) Continuous Distribution, in Statistical Distributions, Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470627242.ch40

Author Information

  1. 1

    Monash University, Victoria, Australia

  2. 2

    Albany Interactive, Victoria, Australia

  3. 3

    Brian Peacock Ergonomics, SIM University, Singapore

Publication History

  1. Published Online: 16 DEC 2010
  2. Published Print: 29 NOV 2010

ISBN Information

Print ISBN: 9780470390634

Online ISBN: 9780470627242



  • Hazard function;
  • parameter estimation;
  • probability density function;
  • random number;
  • rectangular continuous distribution;
  • variate


Every value in the range of the distribution is equally likely to occur. This is the distribution taken by uniform random numbers. It is widely used as the basis for the generation of random numbers for other statistical distributions. This chapter illustrates the probability density function for the R: a, b variate, with the corresponding distribution function and the hazard function for the R: 0, 1 variate. It discusses variate relationships, parameter estimation and random number generation for the rectangular (uniform) continuous distribution.

Controlled Vocabulary Terms

control variate; Hazard function; probability density function; rectangular distribution