Optimal sample size based on prediction problem under progressively type-II censoring

Choosing the sample size is a problem faced by anyone doing a survey of any type. In this paper, we study this problem by considering two criteria, the total cost of experiment and mean squared prediction error in prediction problem. Towards this end, we discuss the problem of Bayesian predicting a future progressive censored order statistic from an exponential distribution based on an observed progressive censored order statistics.