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Econometrica Vol. 50 No. 3 1982

A Class of Decompositions of the Variance-Covariance Matrix of a Generalized Error Components Model

Tom Wansbeek; Arie Kapteyn

Abstract

[A class of decompositions is derived for the variance-covariance matrix Ω of a generalized error components model, introduced in [18 and 19]. The spectral decomposition of Ω is a member of this class. For estimation purposes certain other members of the class are preferred, especially those that allow for simplifying transformations of the model not depending on unknown parameters. The transformations suggest simple and asymptotically efficient estimators of both the parameters in Ω and the parameters in the systematic part of the model.]

DOI
10.2307/1912609
Volume
50
Issue
3
Pages
713
Sources
bibtex:phds-export.bib crossref openalex

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