A Class of Estimators of Population Variance Using Auxiliary Information in Sample Surveys

Type Journal Article - Communications in Statistics-Theory and Methods
Title A Class of Estimators of Population Variance Using Auxiliary Information in Sample Surveys
Author(s)
Volume 43
Issue 6
Publication (Day/Month/Year) 2014
Page numbers 1248-1260
URL http://www.tandfonline.com/doi/abs/10.1080/03610926.2012.670357#.VNu9uPmG9sN
Abstract
This article advocates the problem of estimating the population variance of the study variable using information on certain known parameters of an auxiliary variable. A class of estimators for population variance using information on an auxiliary variable has been defined. In addition to many estimators, usual unbiased estimator, Isaki's (1983), Upadhyaya and Singh's (1999), and Kadilar and Cingi's (2006) estimators are shown as members of the proposed class of estimators. Asymptotic expressions for bias and mean square error of the proposed class of estimators have been obtained. An empirical study has been carried out to judge the performance of the various estimators of population variance generated from the proposed class of estimators over usual unbiased estimator, Isaki's (1983), Upadhyaya and Singh's (1999) and Kadilar and Cingi's (2006) estimators.

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