Variance Estimation Using Linear Combination of Skewness and Quartiles
M. A. Bhat *
Division of Agricultural Economics and Statistics, SKUAST-Kashmir, India
S. Maqbool
Division of Economics and Statistics, SKUAST-Kashmir, India
S. A. Saraf
Division of Economics and Statistics, SKUAST-Kashmir, India
Ab. Rouf
Division of Economics and Statistics, SKUAST-Kashmir, India
S. H. Malik
Division of Economics and Statistics, SKUAST-Kashmir, India
*Author to whom correspondence should be addressed.
Abstract
In this paper we have suggested Modified ratio type variance estimators where in our aim is to estimate the population variance in the presence of outliers, when there is strong correlation between auxiliary variable and study variable by using, the linear combination of skewness and quartiles as auxiliary information. To judge the efficiency of suggested estimators over existing estimators practically, we have carried out the Bias and Mean square error of proposed and existing estimators and suggested estimators have proven better performance than the existing estimators.
Keywords: Simple random sampling, bias, mean square error, skewness and quartiles efficiency