A general class of chain ratio-product type exponential estimators in double sampling using two auxiliary variates

Year: 2014       Vol.: 63       No.: 2      

Authors: Gajendra K. Vishwakarma; Manish Kumar; Raj K. Gangele

Abstract:

In this paper, a general class of chain ratio-product type exponential estimators has been proposed for estimating a finite population mean in presence of two auxiliary variates under double sampling scheme. The expressions for bias and mean square error (MSE) of the proposed class are derived up to the first degree of approximation. Also, the expression of asymptotic optimum estimator (AOE) in the proposed class is obtained. Some estimators are shown to be particular members of the proposed class. The proposed class has been compared for its precision with the usual unbiased estimator and several other estimators of the literature. In addition, an empirical study is also carried out in support of theoretical findings.

Keywords: Auxiliary variates, Study variate, Double Sampling, bias, mean square error.

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