Prediction Based on Type-II Censored Coherent System Lifetime Data under a Proportional Reversed Hazard Rate Model

Authors
Adeleh Fallah 1
Akbar Asgharzadeh 1
Hon Keung Tony Ng 2
1 Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2 Department of Statistical Science, Southern Methodist University, Dallas, Texas 75275-0332, USA
10.52547/jirss.20.1.153
Abstract
In this paper, we discuss the prediction problem based on censored coherent system lifetime data when the system structure is known and the component lifetime follows the proportional reversed hazard model. Different point and interval predictors based on classical and Bayesian approaches are derived. A numerical example is presented to illustrate the prediction methods used in this paper. Monte Carlo simulation study is performed to evaluate and compare the performances of different prediction methods.
Keywords
Bayesian Predictor
best unbiased predictor
Coherent System
conditional median predictor
maximum likelihood predictor
Prediction Intervals
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Journal of the Iranian Statistical Society
Volume 20, Issue 1
June 2021
Pages 153-181

  • Receive Date 23 July 2022