This research article, presents a ratio estimator for the estimation of finite population mean of the study variable under double sampling scheme when there is unusually low and unusually high values and analyzes their properties. The expressions for bias and MSE of the proposed estimator are derived up to first order of approximation. Also efficiency conditions are carried out with the other existing estimators. Numerical results show that the proposed formula is more efficient than the usual unbiased estimator and the usual ratio estimator in double sampling.
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