A MODIFIED RATIO-CUM-PRODUCT ESTIMATOR OF FINITE POPULATION MEAN USING KNOWN COEFFICIENT OF VARIATION AND COEFFICIENT OF KURTOSIS

Rajesh Tailor; Balkishan Sharma

doi:https://doi.org/10.59170/stattrans-2009-002

A MODIFIED RATIO-CUM-PRODUCT ESTIMATOR OF FINITE POPULATION MEAN USING KNOWN COEFFICIENT OF VARIATION AND COEFFICIENT OF KURTOSIS

Rajesh Tailor , Balkishan Sharma Statistics in Transition new series, vol. 10, 2009, 1, pages: 15-24 Published online: 1 July 2009 https://doi.org/10.59170/stattrans-2009-002

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ABSTRACT

This paper proposes a ratio-cum-product estimator of finite population mean using information on coefficient of variation and coefficient of kurtosis of auxiliary variate. The bias and mean squared error of the proposed estimator are obtained. It has been shown that the proposed estimator is more efficient than the sample mean estimator, usual ratio and product estimators and estimators proposed by Upadhyaya and Singh (1999) under certain given conditions. An empirical study is also carried out to demonstrate the merits of the proposed estimator over other estimators.

KEYWORDS

Coefficient of Variation, Coefficient of Kurtosis, Finite Population Mean, Bias and Mean Squared Error

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