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Research Article Open access CC BY 4.0

Improved Estimator of Finite Population Variance Using Coefficient of Quartile Deviation

Komal Javed, Nasir Jamal, Muhammad Hanif, Muhammad Ali, Usman Shahzad, Amelia Victoria Garcia Luengo

Asian Journal of Advanced Research and Reports · pp. 1–6 · Published 26 Jul 2018

10.9734/ajarr/2018/v1i313065

Abstract

This study introduces a new, better, class of ratio estimators for the estimation of population variance of the study variable by using the coefficient of quartile deviation of auxiliary variable. Bias and mean square error of the proposed class of estimators are also derived. The conditions of efficiency comparison are also obtained. Simulation and different secondary data sets are used to evaluate the efficiency of proposed class of variance estimators over existing class of estimators. The empirical study shows that the suggested class of estimators is more efficient the existing class of estimators for the population variance.

Coefficient of quartile deviation natural populations simple random sampling auxiliary variable

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