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A NOTE ON VARIANCE ESTIMATION FOR THE GENERALIZED REGRESSION PREDICTOR

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Summary

The generalized regression (GREG) predictor is used for estimating a finite population total when the study variable is well-related to the auxiliary variable. In 1997, Chaudhuri & Roy provided an optimal estimator for the variance of the GREG predictor within a class of non-homogeneous quadratic estimators (H) under a certain superpopulation model M. They also found an inequality concerning the expected variances of the estimators of the variance of the GREG predictor belonging to the class H under the model M. This paper shows that the derivation of the optimal estimator and relevant inequality, presented by Chaudhuri & Roy, are incorrect.
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Keywords: auxiliary information; estimation of variance; inclusion probabilities; regression predictor; sampling design

Document Type: Research Article

Affiliations: University of Botswana and St Cloud State University

Publication date: June 1, 2005

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