7. Bernoulli Distribution

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

Published Online: 16 DEC 2010

DOI: 10.1002/9780470627242.ch7

Statistical Distributions, Fourth Edition

Statistical Distributions, Fourth Edition

How to Cite

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2010) Bernoulli Distribution, in Statistical Distributions, Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470627242.ch7

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

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Keywords:

  • Bernoulli distribution;
  • curtailed Bernoulli trial sequences;
  • random number generation;
  • urn sampling

Summary

A Bernoulli trial is a probabilistic experiment that can have one of two outcomes, success (x = 1) or failure (x = 0), and in which the probability of success is p, which is referred as the Bernoulli probability parameter. An example of a Bernoulli trial is the inspection of a random item from a production line with the possible result that the item could be acceptable or faulty. The Bernoulli trial is a basic building block for other discrete distributions such as the binomial, Pascal, geometric, and negative binomial. The chapter also describes random number generation, curtailed Bernoulli trial sequences and urn sampling scheme.

Controlled Vocabulary Terms

binomial distribution; Polya urn model