Variance Estimation Using Linear Combination of Standard Deviation and Deciles

摘要

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.