A MODIFIED PRODUCT-TYPE ESTIMATOR FOR ESTIMATING POPULATION MEAN USING POPULATION CORRELATION COEFFICIENT

In this paper, a modified product estimator of the finite population mean of variable of interest is suggested using population correlation coefficient between the study variable and the auxiliary variable. The bias and mean squared error of the proposed estimator are obtained. It is found that the estimator is approximately unbiased. It has been shown that the newly suggested estimator based on Simple Random Sampling is more efficient than the simple mean estimator, usual product estimator. To judge the merits of the proposed estimator over other estimators, an empirical study is carried out.