Acceptance Sampling Based on the Inverse Rayleigh Distribution

Abstract

The well known inverse Rayleigh distribution is considered as a model for a life time random variable. The problem of acceptance sampling when the life test is truncated at a pre-assigned time is discussed. For various acceptance numbers, various confidence levels and various values of the ratio of the fixed experimental time to the specified mean life, the mini- mum sample size necessary to assure a specified mean life time is worked out. The operating characteristic functions of the sampling plans are obtained. Producer's risk is also discussed. A table for the ratio of the true mean life to a specified mean life that ensures acceptance with a pre-assigned probability is provided. The results are illustrated by an example.