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Econometrica Vol. 39 No. 3 1971

The Use of Undersized Samples in the Estimation of Simultaneous Equation Systems

P. A. V. B. Swamy; James Holmes

Abstract

[Using a general definition of a generalized inverse of a singular matrix we generalized the k class and three stage least squares procedures so that they can be applied when the sample size, say T, is smaller than the number of exogenous variables, say K, in a system of equations. These generalized k class and three stage least squares estimators, in usual cases, coincide with ordinary least squares and Zellner's [7] efficient estimators respectively as long as T @ extless K and coincide with the usual k class and three stage least squares estimators respectively as T exceeds K.]

DOI
10.2307/1913259
Volume
39
Issue
3
Pages
455
Sources
bibtex:phds-export.bib openalex crossref

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