An improved estimator of population mean using power transformation

Type Journal Article - Journal of the Indian Society of Agricultural Statistics
Title An improved estimator of population mean using power transformation
Author(s)
Volume 58
Issue 2
Publication (Day/Month/Year) 2004
Page numbers 223-230
URL http://js.iasri.res.in/jisas/jsp/volume/vol58/issue2/hpsingh_1.pdf
Abstract
This article presents a modified ratio estimator using prior value of coefficient of kurtosis of an auxiliary character x, with the intention to improve the efficiency of ratio estimator. The first order large sample approximations to the bias and the mean square error of the proposed estimator are obtained and compared with sample mean estimator and usual ratio estimator. A generalized version of the suggested estimator is also presented. Numerical illustrations are listed to compare the performance of different estimators.

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