ONSAMPLINGWITHPROBABILITYPROPORTIONALTOSIZEWITHREPLACEMENT
In this paper we suggested a new transformation for the selection probability under positive correlation coefficient between study variable (y)and measure of size variable (x). The relative efficiency of the proposed estimator has been studied under a superpopulation model. A numerical investigation into the performance of the estimator has been made.
Hansen Hurwitz, Probability Proportional to size, Estimator, sampling with replacement.