Construction of acceptance sampling plans for the ranked set sampling using: Laplace Distribution

Abstract

In this paper, a new Single Sampling Plan in light of ranked data scheme is proposed. Two main prerequisites are considered for the new plan: The lifetime of the test units is assumed to follow the Logistic distribution, and the data are selected by using the ranked set sampling scheme from a large lot. The distribution function characterization under the ranked set sampling scheme is derived assuming that the set size is known; the minimum number of set cycle and consequently the minimum sample size necessary to ensure the operating characteristic values of the ranked sampling plans as well as the producer’s risk are presented. An examples based on the results obtained are given.