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Abstract

The estimators developed so far regarding the study under consideration use the conventional measures of central tendencies, i.e. the mean, the median, the quartile mean etc., and comment on their properties. However, Sohel et al. (2012) have proposed decile mean as a measure of central tendency and have proved that it outperforms the conventional measures of central tendency. In this study, we have attempted to use the decile mean instead of the conventional measures suggested in previous studies. Also, we have used decile mean, population correlation coefficient, coefficient of variation and the linear combinations of auxiliary variable and investigated the properties associated with the proposed estimator. Theoretically, mean square error equations of all proposed ratio estimators are obtained and the efficiency conditions are derived. This study has been verified numerically.

Keywords

Auxiliary variable Coefficient of variation Decile mean Mean squared error Population correlation coefficient

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Author Biographies

Muhammad Abid, Department of Statistics, Faculty of Science And Technology, Government College University, Faisalabad, Pakistan.

Lecturer, Department of Statistics, Faculty of Science And Technology, Government College University,   Faisalabad, Pakistan.

Rehan Ahmed Khan Sherwani, College of Statistical and Actuarial Sciences University of the Punjab Lahore, Pakistan

Assistant Professor, College of Statistical and Actuarial Sciences University of the Punjab Lahore, Pakistan.

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