Optimization of Random Sample Size in Progressively Type II Censoring based on Cost Criterion

So far censored samples have been studied by many researchers. One of the most important methods of censoring is progressively type II censoring. An interesting issue in the discussion of censoring is determination of the optimal sample size. Various factors are influential in determining the appropriate sample size, the most important of which is the sampling cost criterion. In this paper, assuming that the sample size is a random variable from the truncated binomial distribution, the optimal parameter of sample size distribution in progressively type II censoring is determined. This optimal parameter is determined so that the total cost of the test does not exceed a pre-determined value. In this article, the exponential distribution is considered for lifetimes of observations. A simulation study is also provided to evaluate the obtained results. Finally, the conclusion of the article is presented.