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A Class of Estimators of the Population Mean Using Multi­Auxiliary Information

A Class of Estimators of the Population Mean Using Multi­Auxiliary Information For estimating the mean of a finite population, Srivastava and Jhajj (1981) defined a broad class of estimators which we information of the sample mean as well as the sample variance of an auxiliary variable. In this paper we extend this class of estimators to the case when such information on p(> 1) auxiliary variables is available. The estimators of the class involve unknown constants whose optimum values depend on unknown population parameters. When these population parameters are replaced by their consistent estimates, the resulting estimators are shown to have the same asymptotic mean squared error. An expression by which the mean squared error of such estimators is smaller than those which use only the population means of the auxiliary variables, is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Calcutta Statistical Association Bulletin SAGE

A Class of Estimators of the Population Mean Using Multi­Auxiliary Information

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Publisher
SAGE
Copyright
© 1983 SAGE Publications
ISSN
0008-0683
DOI
10.1177/0008068319830104
Publisher site
See Article on Publisher Site

Abstract

For estimating the mean of a finite population, Srivastava and Jhajj (1981) defined a broad class of estimators which we information of the sample mean as well as the sample variance of an auxiliary variable. In this paper we extend this class of estimators to the case when such information on p(> 1) auxiliary variables is available. The estimators of the class involve unknown constants whose optimum values depend on unknown population parameters. When these population parameters are replaced by their consistent estimates, the resulting estimators are shown to have the same asymptotic mean squared error. An expression by which the mean squared error of such estimators is smaller than those which use only the population means of the auxiliary variables, is obtained.

Journal

Calcutta Statistical Association BulletinSAGE

Published: Mar 1, 1983

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