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


How to Cite

A. Bhat, M., Maqbool, S., A. Saraf, S., Rouf, A., & H. Malik, S. (2018). Variance Estimation Using Linear Combination of Skewness and Quartiles. Advances in Research, 13(2), 1–6. https://doi.org/10.9734/AIR/2018/37321

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