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Copyright (c) 2016 Pakistan Journal of Statistics and Operation Research

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Title

Some improved modified ratio estimators based on decile mean of an auxiliary variable

Keywords

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

Description

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.

Date

2016-12-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 12 No. 4, 2016



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810