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A Multiplicative Bias Correction for Nonparametric Approach and the Two Sample Problem in Sample Survey

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Document pages: 14 pages

Abstract: Let two separate surveys collect related information on a singlepopulation U. Consider situation where we want to best combine data from thetwo surveys to yield a single set of estimates of a population quantity(population parameter) of interest. This Article presents a multiplicative biasreduction estimator for nonparametric regression to two sample problem insample survey. The approach consists to apply a multiplicative bias correctionto an estimator. The multiplicative bias correction method which was proposed,by Linton & Nielsen, 1994, assures a positive estimate and reduces the biasof the estimate with negligible increase in variance. Even as we apply thismethod to the two sample problem insample survey, we found out through the study of it asymptotic properties thatit was asymptotically unbiased, and statistically consistent. Furthermore anempirical study was carried out to compare the performance of the developed estimator withthe existing ones.

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