IMPROVEMENT ON ESTIMATING MEDIAN FOR FINITE POPULATION USING AUXILIARY VARIABLES IN DOUBLE-SAMPLING
Keywords:Auxiliary variables, BIAS, median, mean square error, percentage relative efficiency
AbstractThe aim of the study is to suggest a difference-cum-ratio type of median estimator for finite population median using two-auxiliary variables in double sampling. Using simple random sampling without-replacement scheme (SRSWOR) the estimated mean square error (MSE) and BIAS are computed for the new suggested median estimator. The suggested median estimator has a smaller MSE than all other median estimators currently in practice, showing a valid contribution to the literature. In addition some members of the suggested estimator and theoretical comparison of MSE are also computed. Finally, the numerical and graphical comparison of percent relative efficiency (PRE) is also computed for five different real data sets.
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