16. Bayesian Confidence Regions

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch16

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) Bayesian Confidence Regions, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch16

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



  • Bayesian confidence regions;
  • classical confidence regions, in objectivist statistics - Bayesian confidence regions;
  • Bayesian confidence region, for parameter θ of stochastic model;
  • Bayesian confidence regions - and fuzzy data;
  • fuzzy HPD-regions;
  • classical HPD-regions;
  • generalized HPD-region for θ - based on fuzzy sample;
  • construction of generalized confidence sets - based on fuzzy a posteriori distributions;
  • fuzzy HPD-intervals for θ;
  • membership functions of fuzzy HPD-intervals for θ


This chapter contains sections titled:

  • Bayesian confidence regions based on fuzzy data

  • Fuzzy HPD-regions

  • Problems