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

Document Type : Research Articles

Authors

1 Department of Statistics, Kosar University of Bojnord, Bojnord, Iran

2 Department of Industrial Engineering, Kosar University of Bojnord, Bojnord, Iran

Abstract

‎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 \textcolor{red}{illustrate} the output results‎.

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