15. Generalized Bayes' Theorem

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch15

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) Generalized Bayes' Theorem, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch15

Author Information

  1. Vienna University of Technology, Austria

Publication History

  1. Published Online: 5 JAN 2011
  2. Published Print: 11 FEB 2011

ISBN Information

Print ISBN: 9780470699454

Online ISBN: 9780470974414

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Keywords:

  • generalized Bayes' theorem;
  • generalizing Bayes' theorem - to situation;
  • likelihood function for fuzzy data;
  • Bayes' theorem for fuzzy a priori distribution - and fuzzy data;
  • generalization of Bayes' theorem;
  • classical Bayes' theorem;
  • characterizing function;
  • fuzzy sample;
  • fuzzy a posteriori density;
  • validity of sequential updating – in generalized Bayes' theorem for upper δ-level curves of fuzzy

Summary

This chapter contains sections titled:

  • Likelihood function for fuzzy data

  • Bayes' theorem for fuzzy a priori distribution and fuzzy data

  • Problems