WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Prediction of Future Lifetimes for a Simple Step-Stress Model with Type-II Censoring and Rayleigh Distribution
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Abstract: In this paper, we discuss the prediction problem of the lifetimes to failure of units from Rayleigh distribution with Type-II censoring for a simple step-stress setup under cumulative exposure model. We consider several methods of point prediction, including maximum likelihood predictor, conditional median predictor, and best unbiased predictor. In addition, we discuss the prediction intervals for future lifetimes of the censored units using pivotal quantity, highest conditional density, and shortest-length based methods. Monte Carlo simulation is conducted to compare the proposed prediction methods. Further, a real data set is analyzed for illustrative purposes.
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Keywords: Conditional median predictor, Cumulative exposure model, Maximum likelihood prediction, Pivot quantity, Prediction intervals, Rayleigh distribution, Step-stress accelerated life test
Pages: 131-143
DOI: 10.37394/23206.2022.21.20