Article


Article Code : 13970624067164381

Article Title : Point prediction for the proportional hazards family based on progressive Type-II censoring with binomial removals

Journal Number : 1 Spring 2018

Visited : 61

Files : 172 KB


List of Authors

  Full Name Email Grade Degree Corresponding Author
1 RahmatSadat Meshkat r.meshkat@gmail.com Graduate M.Sc
2 Naeimeh Dehqani ndehqani@yahoo.com Graduate M.Sc

Abstract

In this paper‎, ‎some different predictors are presented for failure times of units censored in a progressively censored sample from proportional hazard rate models‎, ‎where the number of units removed at each failure time follows a binomial distribution‎. ‎The maximum likelihood predictors‎, ‎best unbiased predictors and conditional median predictors are derived‎. ‎Also‎, ‎the Bayesian point predictors are investigated for the failure times of units with the three common loss function‎. ‎Finally‎, ‎a numerical example and a Monte Carlo simulation study are carried out to compare all the prediction‎ ‎methods discussed in this paper.