Design of sampling plans of accelerated life tests under progressive censoring

We consider the design of acceptance sampling plans under Type Ⅰ progressive censoring based on accelerated life-test for lognormal distribution with random removals. In particular, the random removal pattern follows a binomial distribution with removal probability p. Two levels of stress higher than the use condition are used. Assume that the location parameter of the log lifetime distribution is a linear function of stress. The Fisher information matrix is given in the text. The low stress level and the sample proportion are obtained by minimizing the generalized asymptotic variance of the MLEs of the model parameters. The sample size and the lot acceptability constant satisfy the requirements of producer’s risk and consumer’s risk are obtained. We get the optimal low stress level, the sample proportion allocated to each stress, as well as the sampling plans.