Developing double acceptance sampling plans for percentiles based on the inverse Rayleigh distribution

Abstract

In this research, double acceptance sampling plan is developed for the inverse Rayleigh distribution using percentiles when the life test is truncated at a pre-specified time. This is because the population mean used in our most researches can be influence mostly by the extreme values and as such may not satisfy the requirement for most life related distributions; moreover, most of the employed life distributions are not symmetric (Rao, 2015). This research also serves as an extension to Rao, Kantam, Rosaiah and Reddy (2012) where a similar work was done but using a simple (single) sampling plan. The minimum sample sizes n1 and n2 necessary to ensure the specified life percentile is obtained under a given customer’s risk. The operating characteristic values of the sampling plans as well as the producer’s risk are presented.