A New Modified Approach for the Improvement of New Estimator Using Known Value of Downton’s Method as Auxiliary Information for Estimating the Population Variance
M. A. Bhat *
Division of Agricultural Statistics, SKUAST-Kashmir, (190025), India.
S. A. Mir
Division of Agricultural Statistics, SKUAST-Kashmir, (190025), India.
S. Maqbool
Division of Agricultural Statistics, SKUAST-Kashmir, (190025), India.
T. A. Raja
Division of Agricultural Statistics, SKUAST-Kashmir, (190025), India.
Ab. Rauf Shah
Division of Agricultural Statistics, SKUAST-Kashmir, (190025), India.
Z. M. Dar
Division of Agricultural Statistics, SKUAST-Kashmir, (190025), India.
Immad A. Shah
Division of Agricultural Statistics, SKUAST-Kashmir, (190025), India.
*Author to whom correspondence should be addressed.
Abstract
In the present study we have suggested a newly modified ratio estimator for estimating the population variance by utilizing the auxiliary information of Downton's method. Properties associated with proposed estimators are assessed by mean square error and bias through numerical demonstration. We have also provided the theoretical efficiency comparison of the present study.
Keywords: Ratio estimator, Downton’s method, SRSWOR, MSE, bias and efficiency.