Bayesian two-sample prediction problem for the Rayleigh distribution under progressively Type-II censoring with random removals

In this paper, we study the prediction problem in the two-sample case for predicting future progressively type-ii censored order statistics based on observed progressively type-ii censored order statistics with random removals from the rayleigh distribution. we consider two important distributions for random removals, binomial and discrete uniform distributions. in both cases, bayesian point and interval predictors are obtained. in the following, through a simulation study, the results are compared to each other. finally, a real data set is given to illustrate the output results.