12. Generalized Confidence Regions

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch12

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) Generalized Confidence Regions, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch12

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



  • generalized confidence regions;
  • point estimators, and qualitative goodness criteria;
  • confidence functions - constructing confidence regions of parameter space, and true parameter;
  • fuzzy confidence regions;
  • generalized confidence region - for true parameter, fuzzy subset;
  • construction of fuzzy confidence region - not application of extension principle;
  • classical confidence function;
  • p-fractile of chi-square distribution - 2n degrees of freedom;
  • fuzzy confidence interval;
  • fuzzy confidence region, for parameter vector of normal distribution


This chapter contains sections titled:

  • Confidence functions

  • Fuzzy confidence regions

  • Problems