Robust Estimators for Estimation of Population Variance Using Linear Combination of Downton’s Method and Deciles as Auxiliary Information
M. A. Bhat *
Division of Agricultural Statistics, F.O.H Shalimar, SKUAST-Kashmir, India
T. A. Raja
Division of Agricultural Statistics, F.O.H Shalimar, SKUAST-Kashmir, India
S. Maqbool
Division of Agricultural Statistics, F.O.H Shalimar, SKUAST-Kashmir, India
N. A. Sofi
Division of Agricultural Statistics, F.O.H Shalimar, SKUAST-Kashmir, India
Ab. Rauf
Division of Agricultural Statistics, F.O.H Shalimar, SKUAST-Kashmir, India
S. H. Baba
Division of Agricultural Statistics, F.O.H Shalimar, SKUAST-Kashmir, India
Immad. A. Shah
Division of Agricultural Statistics, F.O.H Shalimar, SKUAST-Kashmir, India
*Author to whom correspondence should be addressed.
Abstract
We have suggested improved and robust estimators for the estimation of finite population variance using non-conventional population parameters as auxiliary variables to enhance the efficiency of proposed estimators. A comparison between suggested estimators and existing estimators has been made through a numerical demonstration. 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, Downton’s method, Deciles and efficiency