19. Classical Regression Analysis

  1. Reinhard Viertl

Published Online: 5 JAN 2011

DOI: 10.1002/9780470974414.ch19

Statistical Methods for Fuzzy Data

Statistical Methods for Fuzzy Data

How to Cite

Viertl, R. (2011) Classical Regression Analysis, in Statistical Methods for Fuzzy Data, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470974414.ch19

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:

  • regression analysis and fuzzy information;
  • classical regression analysis;
  • regression models, describing nondeterministic dependencies - between so-called independent variables;
  • observed values, not precise numbers - more or less fuzzy;
  • regression models;
  • standard regression models, k independent deterministic variables;
  • regression parameters;
  • Gauss–Markoff theorem - explicit solution of LSS estimation of θ;
  • linear regression models - with Gaussian dependent variables;
  • general linear models

Summary

This chapter contains sections titled:

  • Regression models

  • Linear regression models with Gaussian dependent variables

  • General linear models

  • Nonidentical variances

  • Problems