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Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results

Zellner, Arnold·1963·Journal of the American Statistical Association

Abstract

The finite sample properties of an asymptotically efficient technique (JASA, June, 1962) for estimating coefficients in certain generally encountered sets of regression equations are studied in this paper. In particular, exact first and second moments of the asymptotically efficient coefficient estimator are derived and compared with those of the usual least squares estimator. Further, the exact probability density function of the new estimator is derived and studied as a function of sample size. It is found that the approach to asymptotic normality is fairly rapid and that for a wide range of conditions an appreciable part of the asymptotic gain in efficiency is realized in samples of finite size.

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Metadata

Authors
Zellner, A.
Venue
Journal of the American Statistical Association
Published
1963-12
Volume
58
Issue
304
Pages
977-992
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W2030459755
Cited by
715
References
0
FWCI
3.01
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results. https://app.cochat.ai/papers/10.1080/01621459.1963.10480681
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Zellner, A. (1963). Estimators for Seemingly Unrelated Regression Equations: Some Exact Finite Sample Results. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1963.10480681

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