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

Document Type : Original Scientific Paper

Authors

Department of Statistics‎, ‎‎Yazd University‎, ‎Yazd‎, ‎Iran

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.

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References

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Journal of Statistical Modelling: Theory and Applications
Volume 1, Issue 1 - Serial Number 1
January 2020
Pages 111-127

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History

  • Receive Date: 21 August 2018
  • Revise Date: 13 September 2018
  • Accept Date: 14 September 2018

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