Marshall-olkin power Lomax distribution: A distribution for modelling life-time of products using truncated hybrid double acceptance sampling plan

Abstract

This paper developed a truncated hybrid double acceptance sampling plan when the lifetime of a product follows a Marshall-Olkin Power Lomax distribution. In this study, the quantiles function, failure rate function, minimal sample sizes and Average Sample Number (ASN) needed for testing the quality of products, for prefixed maximum allowable percent defective, test termination ratios and acceptance numbers were obtained. The study further determines the operating characteristic values corresponding to different quality levels and the minimum ratios of the true average life to the specified life at the specified producer's risk. The study also demonstrates the results in the tables using a real life example.