Comparison of Estimators of Heteroscedastic Variances in Linear Models.

Abstract

Three methods for estimating heteroscedastic variances are discussed in the paper: the MINQUE introduced by C. R. Rao, the AUE introduced by Duncan, Horn, and Horn, and the sample variance. Properties of these estimators, including translation invariance, existence, bias, consistency, existence of negative estimates, and mean square error are compared. In particular, it is shown that the AUE has smaller mean square error than either the MINQUE or the sample variance in a wide range of situations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0769398

Entities

People

  • Roger A. Horn
  • Susan D. Horn

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Consistency
  • Estimators
  • Invariance
  • Mathematics
  • Translations

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.