A Simplified Selection Scheme for Unequal Probability Sampling Without Replacement

Abstract

In this paper we present a new inclusion probability proportional size (IPPS) sampling scheme which have some desirable properties of IPPS sampling and providing an unbiased and non-negative variance estimator under the Horvitz-Thompson model. I also consider an empirical study to examine the performance of the proposed sampling scheme compared to some standard IPPS sampling schemes.