A New Exponential Ratio-Type Estimator of Population Mean Using Mean and Median with Two Auxiliary Variables under Double Sampling
Keywords:
Mean squared error, bias, ratio estimator, regression estimator, study variable, median estimationAbstract
Using auxiliary information for estimating the study variable is a popular and well established technique to enhance the efficiency of the estimator. In this paper, we have considered an exponential ratio-type estimator under double sampling scheme involving two auxiliary variables. Both cases of independence and dependence of auxiliary variables have been considered. Here, we make use of the sample mean and sample median of the auxiliary variables of both phases with the intention to improve upon the efficiency of the said estimator. It is found that the proposed estimator is more efficient than the regression estimator proposed by Vadlamudi et al. (2017) with one auxiliary variable and also over other classical estimators. The study was tested empirically using simulated data.
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