A generalization of midzuno-sen sampling scheme forudfinite populations

摘要

This paper proposes a generalization of the classical Midzuno-Sen sampling procedure to allow more than one PPSWOR selection followed by SRSWOR draws. The Horvitz-Thompson (H-T) estimator, its variance and variance estimator are discussed. Two methods of controlling the sampling variability of the H-T estimator are outlined. These require simple transformations of the study or the auxiliary variates. They can also be viewed as attempts to make the sampling scheme IPPS. Simple numerical illustrations are given.