46. Weibull Distribution

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

Published Online: 16 DEC 2010

DOI: 10.1002/9780470627242.ch46

Statistical Distributions, Fourth Edition

Statistical Distributions, Fourth Edition

How to Cite

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2010) Weibull Distribution, in Statistical Distributions, Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470627242.ch46

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

SEARCH

Keywords:

  • Weibull distribution, two-parameter Weibull distribution - representing decreasing, constant, or increasing failure rates;
  • Weibull variate, commonly used as a lifetime distribution - in reliability applications;
  • method of maximum likelihood, estimators - shape and scale parameters, solution of simultaneous equations

Summary

This chapter contains sections titled:

  • Note

  • Variate Relationships

  • Parameter Estimation

  • Random Number Generation

  • Three-Parameter Weibull Distribution

  • Three-Parameter Weibull Random Number Generation

  • Bi-Weibull Distribution

  • Five-Parameter Bi-Weibull Distribution

  • Weibull Family