A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling

Abstract

In probability sampling, the inclusion probability of any element in thepopulation is the probability of the element which will be chosen inthe sample. Al-Saleh and Samawi (A note on inclusion probability inranked set sampling and some of its variations, Test., in press) introduced inclusion probabilities in ranked set sampling for sample sizes 2and 3. In this paper we gave a generalized formula of these inclusionprobabilities for any sample size. Also we compare these probabilitieswith simple random samplings for various given samples and populationsizes.