A Robust Approach to Survey Estimation Using Non-conventional Auxiliary Population Parameters
M. A. Bhat *
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology, Kashmir, India.
S. Maqbool
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology, Kashmir, India.
S. A. Mir
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology, Kashmir, India.
Tehleel .
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology, Kashmir, India.
*Author to whom correspondence should be addressed.
Abstract
In the present study, we have utilized the tool of modification technique for the precision and improvement of estimators to estimate the finite population variance, when the survey under investigation does not account for some of the important conditional distribution properties in its nature. The comparison and efficiency conditions of existing estimators with proposed estimators have been made through empirical study to seek the efficiency of modified and suggested estimators over existing estimators. Expressions for bias and mean square error have been derived up to the first order of approximation. The efficiency of modified and developed estimators is clearly based on the lesser mean square error of proposed estimators.
Keywords: Simple random sampling, bias, mean square error, standard deviation, tri-mean and deciles, efficiency.