AN ESTIMATOR OF POPULATION TOTAL IN MULTIPLE CHARACTERISTICS AND ITS ROBUSTNESS TO PRODUCT MOMENT CORRELATION COEFFICIENT

摘要

We developed an alternative estimator for the probability proportional to size with replacement sampling scheme when certain characteristics under study have low correlation with the size measured used for sample selection. The performance of the proposed estimator has been studied with other related alternative estimators by comparing biases and the variances of respective alternative estimators. Most of the alternative estimators assume the knowledge of the product moment correlation coefficient. Therefore an empirical study, with the help of wide variety of populations, has been carried out to study their respective efficiency when correlation coefficient is departed from its true value.