ESTIMATION OF POPULATION MEAN USING TRANSFORMED AUXILIARY VARIABLE AND NON-RESPONSE

Abstract

In survey sampling, the errors which are mostly studied during estimation are sampling errors. However, the properties of
estimators are more influenced by non-sampling errors than sampling errors. This paper addresses the problem of estimating thefinite population mean of the study variable y using auxiliary information in sample surveys in the presence of non-response. We have proposed an estimator for estimating the population mean of study variable when the parameter of auxiliary variable x is known. The bias and mean squared error (MSE) of the proposed estimator are obtained to the first degree of approximation. The minimum mean square error of the proposed estimator is also obtained. A Simulation study has been carried out to support the theoretical results. The comparison of the proposed estimator with other estimators is made to show that our proposed estimator is more efficient than the other estimators in terms of percent relative efficiency (PRE).