28. Logistic Distribution

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

Published Online: 16 DEC 2010

DOI: 10.1002/9780470627242.ch28

Statistical Distributions, Fourth Edition

Statistical Distributions, Fourth Edition

How to Cite

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2010) Logistic Distribution, in Statistical Distributions, Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470627242.ch28

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



  • logistic distribution;
  • logistic variate;
  • parameter estimation;
  • probability density function;
  • random number


The distribution function of the logistic is used as a model for growth. For example, with a new product we often find that growth is initially slow, then gains momentum, and finally slows down when the market is saturated or some form of equilibrium is reached. Applications of logistic distribution include: (1) market penetration of a new product; (2) population growth; (3) the expansion of agricultural production; and (4) weight gain in animals. This chapter illustrates probability density function and distribution function for the logistic variate. It discusses variate relationships, parameter estimation and random number generation for the logistic variate.

Controlled Vocabulary Terms

control variate; logistic distribution; probability density function