Variance Estimation Using Linear Combination of Standard Deviation and Deciles
M. A. Bhat *
Division of Economics and Statistics, SKUAST-Kashmir, India.
S. Maqbool
Division of Economics and Statistics, SKUAST-Kashmir, India.
Ab. Rauf
Division of Economics and Statistics, SKUAST-Kashmir, India.
S. A. Saraf
Division of Economics and Statistics, SKUAST-Kashmir, India.
M. A. Malik
Division of Economics and Statistics, SKUAST-Kashmir, India.
*Author to whom correspondence should be addressed.
Abstract
In this present study, we have introduced a new type of ratio estimators for the estimation of finite population variance using standard deviation and deciles as auxiliary variables to improve the efficiency of proposed estimators. A comparison between suggested estimators and existing estimators has been made through a numerical illustration to prove the efficiency of proposed estimators over existing estimators. The expression for bias and mean square error has been derived up to the first order of approximation. The improvement of proposed estimators over existing estimators shown is clearly based on the lesser mean square error of proposed estimators.
Keywords: Simple random sampling, bias, mean square error, standard deviation and deciles, efficiency