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On weak consistency in linear models with equi-correlated random errors 

Authors: Xinwei Jia a;  M. Bhaskara Rao bc; Haimeng Zhang d
Affiliations:   a Janssen Pharmaceutica Inc., Titusville, NJ, USA
b Department of Statistics, North Dakota State University, Fargo, ND, USA
c Center for Genomic Information, Department of Environmental Health, University of Cincinnati, Cincinnati, OH, USA
d Department of Mathematics and Computer Science, Concordia College, Moorhead, MN, USA
DOI: 10.1080/02664760310001619332
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 37, Issue 6 November 2003 , pages 463 - 473
Number of References: 10
Formats available: PDF (English)
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Abstract

A new estimator in linear models with equi-correlated random errors is postulated. Consistency properties of the proposed estimator and the ordinary least squares estimator are studied. It is shown that the new estimator has smaller variance than the usual least squares estimator under some mild conditions. In addition, it is observed that the new estimator tends to be weakly consistent in many cases where the usual least squares estimator is not.
Keywords: Weak consistency; Equi-correlated errors; Least squares estimator; Linear models
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