Prediction of Censored Weibull Lifetimes in a Simple Step-Stress Plan With Khamis-Higgins Model

  • Mohammad Amleh The University of Jordan
  • Mohammad Z. Raqab The University of Jordan
DOI: https://doi.org/10.19139/soic-2310-5070-1069
Keywords: Best unbiased predictor, Conditional median predictor, Highest conditional density, Khamis-Higgins model, Maximum likelihood predictor, Mean square prediction error, Prediction interval, Step-stress accelerated life tests

Abstract

In this paper, we discuss the prediction of the lifetimes to failure of censored units from Weibull distribution for a simple step-stress plan under Khamis-Higgins model. Different methods of prediction are considered including maximum likelihood predictor, modifified maximum likelihood predictor, conditional median predictor, and best unbiased predictor. Another aspect of prediction is constructing prediction limits for future lifetimes of the censored units. The pivotal quantity, highest conditional density, and shortest-length based methods are discussed in this paper. Monte Carlo simulations are performed to compare all the prediction methods developed here and one real data set is analyzed for illustrative purposes.

Author Biography

Mohammad Z. Raqab, The University of Jordan
The deparment of Mathematics ( professor of statistics)

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Published
2021-08-17
How to Cite
Amleh, M., & Raqab, M. Z. (2021). Prediction of Censored Weibull Lifetimes in a Simple Step-Stress Plan With Khamis-Higgins Model. Statistics, Optimization & Information Computing, 10(3), 658-677. https://doi.org/10.19139/soic-2310-5070-1069
Issue
Vol 10 No 3 (2022)
Section
Research Articles
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