An Improvement of Robust Estimator Using Known Values of Probability Weighted Moment for Finite Population Variance
M. A. Bhat *
Division of Agricultural Statistics, SKUAST-Kashmir (190025), India.
S. Maqbool
Division of Agricultural Statistics, SKUAST-Kashmir (190025), India.
S. A. Mir
Division of Agricultural Statistics, SKUAST-Kashmir (190025), India.
N. A. Sofi
Division of Agricultural Statistics, SKUAST-Kashmir (190025), India.
Ab. Rauf
Division of Agricultural Statistics, SKUAST-Kashmir (190025), India.
Immad. A. Shah
Division of Agricultural Statistics, SKUAST-Kashmir (190025), India.
Mir Subzar
Division of Agricultural Statistics, SKUAST-Kashmir (190025), India.
*Author to whom correspondence should be addressed.
Abstract
In this study new improved robust estimator has been proposed for precise estimation of finite population variance in simple random sampling by incorporating as auxiliary information of probability weighted moment. Properties associated with proposed estimators are assessed by mean square error and bias through numerical demonstration. We have also provided theoretical efficiency comparison of the study.
Keywords: Ratio estimator, probability weighted moment, SRSWOR, MSE, bias and efficiency.