Improved Estimator of Finite Population Variance Using Coefficient of Quartile Deviation
Komal Javed
Department of Mathematics & Statistics, PMAS Arid Agriculture University Rawalpindi, Pakistan
Nasir Jamal
Department of Mathematics & Statistics, PMAS Arid Agriculture University Rawalpindi, Pakistan
Muhammad Hanif
Department of Mathematics & Statistics, PMAS Arid Agriculture University Rawalpindi, Pakistan
Muhammad Ali
Department of Mathematics & Statistics, PMAS Arid Agriculture University Rawalpindi, Pakistan
Usman Shahzad *
Department of Mathematics & Statistics, PMAS Arid Agriculture University Rawalpindi, Pakistan
Amelia Victoria Garcia Luengo
Department of Statistics & Applied Mathematics, University of Almeria, Spain
*Author to whom correspondence should be addressed.
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.
Keywords: Coefficient of quartile deviation, natural populations, simple random sampling, auxiliary variable