41. Rectangular (Uniform) Discrete Distribution

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

Published Online: 16 DEC 2010

DOI: 10.1002/9780470627242.ch41

Statistical Distributions, Fourth Edition

Statistical Distributions, Fourth Edition

How to Cite

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2010) Rectangular (Uniform) Discrete Distribution, in Statistical Distributions, Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470627242.ch41

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



  • distribution function;
  • parameter estimation;
  • probability function;
  • rectangular discrete distribution


This chapter illustrates probability function and distribution function for the discrete rectangular variate. In sample surveys it is often assumed that the items (e.g., people) being surveyed are uniformly distributed through the sampling frame. The chapter discusses parameter estimation for the rectangular (uniform) discrete distribution.

Controlled Vocabulary Terms

Cumulative distribution function; discrete distributions; probability; rectangular distribution