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Abstract

In this paper a generalized modified ratio type estimator for estimation of population variance of the study variable using the known parameters of the auxiliary variable has been proposed. The bias and mean squared error of the proposed estimators are derived. It has been shown that the ratio type variance estimator and existing modified ratio type variance estimators are the particular cases of the proposed estimators. Further the proposed estimators have been compared with that of the existing (competing) estimators for simulated data and two natural populations.

Keywords: Auxiliary variable, Bias, Coefficient of Variation, Kurtosis, Mean squared error, Median, Simple random sampling, Skewness