Almost unbiased ratio-cum-product estimators for the finite population mean

摘要

In this paper we have proposed a class of almost unbiased ratio-cumproduct estimators for the finite population mean using jackknife techniques envisaged by Quenouille (1956). An asymptotic expression for the variance of the proposed estimator is derived and the optimum estimator in the class is also identified. The conditions for the proposed estimator to be more efficient than the sample mean and Singh’s (1967) biased estimator are obtained. It is also shown that Singh’s (1987) estimators are particular cases of the proposed class. Two illustrative examples are given to demonstrate the superiority of the proposed estima