An Alternative Estimator for Estimating the Finite Population Mean Using Auxiliary Information in Sample SurveysReport as inadecuate




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ISRN Probability and StatisticsVolume 2012 2012, Article ID 657682, 14 pages

Research ArticleSchool of Studies in Statistics, Vikram University, Ujjain 456010, India

Received 28 February 2012; Accepted 29 March 2012

Academic Editors: J. Hu and J. López-Fidalgo

Copyright © 2012 Ramkrishna S. Solanki et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper suggests a class of estimators for estimating the finite population mean 𝑌 of the study variable 𝑦 using known population mean 𝑋 of the auxiliary variable 𝑥. Asymptotic expressions of bias and variance of the suggested class of estimators have been obtained. Asymptotic optimum estimator AOE in the class is identified along with its variance formula. It has been shown that the proposed class of estimators is more efficient than usual unbiased, usual ratio, usual product, Bahl and Tuteja 1991, and Kadilar and Cingi 2003 estimators under some realistic conditions. An empirical study is carried out to judge the merits of suggested estimator over other competitors practically.





Author: Ramkrishna S. Solanki, Housila P. Singh, and Anjana Rathour

Source: https://www.hindawi.com/



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