Summary of Recent Work on Variables Acceptance Sampling with Emphasis on Non-normality

TLDR: In this paper, a sampling plan for truncated life tests based on the exponential, normal, lognormal, gamma, Weibull, etc., distributions is presented, as well as disbribution-free life test plans based on increasing or decreasing failure rate distributions.

Abstract: Acceptance sampling plans based on the normal distribution have been available since 1955 and before. Yet reports of potential users indicate a general lack of enthusiasm for their application. There is the uncertainty of the assumption of the normal distribution, but the difficulties users have encountered are attributable more to the translation from the standardized deviate to proportion defective than with the probabilities involved. Some possible ways of adjusting for this are discussed. Sampling plans for truncated life tests based on the exponential, normal, lognormal, gamma, Weibull, etc., distributions are also available, as are disbribution-free life test plans based on increasing or decreasing failure rate distributions. These are extremely useful and further extensions of these ideas are in the offing. For the normal distribution, plans have been devised which control each tail of the distribution to separate levels. These plans are useful in the very common situation where defectiveness measu...