Almost unbiased ratio-cum-product estimators for the finite population mean (Q1209917)

We have proposed a class of almost unbiased ratio-cum-product estimators for the finite population mean using jackknife techniques. 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 some biased estimator are obtained. Two illustrative examples are given to demonstrate the superiority of the proposed estimator.