Estimation of population variance using known coefficient of variation of an auxiliary variable in sample surveys

Abstract

This paper addresses the problem of estimating the population variance of the study variable y using information on coefficient of variation C_x of an auxiliary variable x. We have suggested a class of estimators for the population variance. Expressions of bias and mean squared error of the proposed class of estimators are obtained under large sample approximation. It is identified that the usual unbiased estimator and Das and Tripathi’s (1978) estimators are members of the suggested class of estimators. It has been shown that proposed class of estimators is more efficient than usual unbiased estimator and Das and Tripathi’s (1978) estimators. An empirical study is given in support of the present study.

Keywords:

• Auxiliary variable
• Study variable
• Bias
• Mean squared error
• Empirical study

Mathematics Subject Classification:

• 62D05