25. More on Fuzzy Random Variables and Fuzzy Random Vectors

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch25

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) More on Fuzzy Random Variables and Fuzzy Random Vectors, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch25

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:

  • fuzzy random variables, and more - and fuzzy random vectors;
  • model-based inference methods, in time series analysis - concept of fuzzy random variables;
  • generalized stochastic methods in time series analysis - details on fuzzy random variables, necessary;
  • fuzzy random vector (n-dimensional fuzzy random variable);
  • fuzzy random variables - expectation and variance;
  • Aumann expectation;
  • Fréchet variance - a real number;
  • covariance and correlation;
  • fuzzy stochastic quantity;
  • Chebysheff's inequality

Summary

This chapter contains sections titled:

  • Basics

  • Expectation and variance of fuzzy random variables

  • Covariance and correlation

  • Further results