A modified estimator of population mean using power transformation

HP Singh, R Tailor, S Singh, JM Kim - Statistical papers, 2008 - Springer
HP Singh, R Tailor, S Singh, JM Kim
Statistical papers, 2008Springer
In this paper we have suggested two modified estimators of population mean using power
transformation. It has been shown that the modified estimators are more efficient than the
sample mean estimator, usual ratio estimator, Sisodia and Dwivedi's (1981) estimator and
Upadhyaya and Singh's (1999) estimator at their optimum conditions. Empirical illustrations
are also given for examining the merits of the proposed estimators. Following Kadilar and
Cingi (2003) the work has been extended to stratified random sampling, and the same data …
Summary
In this paper we have suggested two modified estimators of population mean using power transformation. It has been shown that the modified estimators are more efficient than the sample mean estimator, usual ratio estimator, Sisodia and Dwivedi’s (1981) estimator and Upadhyaya and Singh’s (1999) estimator at their optimum conditions. Empirical illustrations are also given for examining the merits of the proposed estimators. Following Kadilar and Cingi (2003) the work has been extended to stratified random sampling, and the same data set has been studied to examine the performance in stratified random sampling.
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