9. A Law of Large Numbers

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch9

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) A Law of Large Numbers, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch9

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:

  • law of large numbers;
  • random samples, values fuzzy - convergence in extension of classical law of large numbers;
  • fuzzy random variables;
  • fuzzy interval valued random variable;
  • fuzzy probability distributions - induced by fuzzy random variables;
  • fuzzy probability distribution;
  • sequences of fuzzy random variables;
  • law of large numbers - for fuzzy random variables;
  • membership function of normalized fuzzy subset of R - with bounded support;
  • fuzzy relative frequencies

Summary

This chapter contains sections titled:

  • Fuzzy random variables

  • Fuzzy probability distributions induced by fuzzy random variables

  • Sequences of fuzzy random variables

  • Law of large numbers for fuzzy random variables

  • Problems