Design Of Life Testing Plans Research Articles

Bayesian design of life testing plans under hybrid censoring scheme

AbstractThis article describes Bayes design of hybrid‐censored life testing plans. A design criterion based on posterior variance of quantile of suitable order is proposed. The Weibull lifetime model with gamma prior distribution on model parameters is considered for illustration. Instead of using Markov chain Monte Carlo technique to compute the posterior quantities of interest, a large sample approximation is considered, which is easy to apply. Some life testing plans are presented. The effect of different prior information on the posterior quantity of interest is studied.

Acceptance sampling plans under progressive interval censoring with likelihood ratio

The paper investigates the design of life test plans under progressively interval censored test. Based on the likelihood ratio, the proposed life test plans are established so that the required producer and consumer risks can be satisfied simultaneously. The advantage of the proposed method is that the developed sampling procedure depends on the likelihood ratio only so that the method can be applied to any lifetime distribution when only one parameter is unknown. A numerical study is conducted and some of the sampling plans for the Weibull lifetime distribution with different shape parameters are tabulated for illustration. Moreover, the influence of the removal schemes on the proposed sampling plans is discussed.