Title : ( Prediction of times to failure of censored units under generalized progressive hybrid censoring scheme )
Authors: Jafar Ahmadi , Bahareh Khatib Astaneh , Majid Rezaie , Samaneh Ameli ,
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Abstract
In this paper, the problem of predicting times to failure of units censored in multiple stages of generalized progressively hybrid censoring from exponential and Weibull distributions is discussed. Different classical point predictors, namely, the best unbiased, the maximum likelihood and the conditional median predictors are all derived. Moreover, the problem of interval prediction is investigated. Numerical example as well as two real data sets are used to illustrate the proposed prediction methods. Using a Monte-Carlo simulation algorithm, the performance of the point predictors is investigated in terms of the bias and mean squared prediction error criteria. Also, the width and the coverage rate of the obtained prediction intervals are studied by simulations.
Keywords
, Best unbiased predictor, Conditional median predictor, Maximum likelihood predictor, Mean squared prediction error, Monte-Carlo simulation, Prediction interval.
@article{paperid:1087969,
author = {Ahmadi, Jafar and Bahareh Khatib Astaneh and Majid Rezaie and Samaneh Ameli},
title = {Prediction of times to failure of censored units under generalized progressive hybrid censoring scheme},
journal = {Computational Statistics},
year = {2022},
volume = {37},
number = {4},
month = {September},
issn = {0943-4062},
pages = {2049--2086},
numpages = {37},
keywords = {Best unbiased predictor; Conditional median predictor; Maximum likelihood predictor; Mean
squared prediction error; Monte-Carlo simulation; Prediction interval.},
}
%0 Journal Article
%T Prediction of times to failure of censored units under generalized progressive hybrid censoring scheme
%A Ahmadi, Jafar
%A Bahareh Khatib Astaneh
%A Majid Rezaie
%A Samaneh Ameli
%J Computational Statistics
%@ 0943-4062
%D 2022
