A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling

Abstract

A Generalized Formula for Inclusion Probabilities in Ranked Set Sampling

Abstract

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

Keywords

• Ranked Set sampling,Simple random sampling,Inclusion probability,Finite population,2000 AMS Classification: Primary 62 D 05. Secondary 65 C 60

References

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