A modified estimator of population mean using power transformation

Housila P. Singh; Rajesh Tailor; Sarjinder Singh; Jong Min Kim

doi:10.1007/s00362-006-0371-2

A modified estimator of population mean using power transformation

Housila P. Singh, Rajesh Tailor, Sarjinder Singh, Jong Min Kim

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	37-58
Number of pages	22
Journal	Statistical Papers
Volume	49
Issue number	1
DOIs	https://doi.org/10.1007/s00362-006-0371-2
State	Published - Mar 1 2008

Keywords

Auxiliary variate
Efficiency
Mean squared error
Study variate

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AU - Tailor, Rajesh

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AU - Kim, Jong Min

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Y1 - 2008/3/1

N2 - 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.

AB - 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.

KW - Auxiliary variate

KW - Efficiency

KW - Mean squared error

KW - Study variate

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JF - Statistical Papers

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A modified estimator of population mean using power transformation

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