Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme

The constant-stress partially accelerated life test (CSPALT) model with Type-II hybrid censoring scheme (Type-II HCS) is the subject of our research. Units have a lifetime that follows the generalized Rayleigh distribution. Bayesian and E-Bayesian estimates are derived by applying two of the loss fu...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2022, Vol.2022 (1)
Main Authors: Rabie, Abdalla, Hussam, Eslam, Muse, Abdisalam Hassan, Aldallal, Ramy Abdelhamid, Alharthi, Amirah Saeed, Aljohani, Hassan M.
Format: Article
Language:English
Subjects:
Accelerated life tests
Bayesian analysis
Estimates
Experiments
Failure
Life expectancy
Markov chains
Mathematics
Maximum likelihood method
Monte Carlo simulation
Rayleigh distribution
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Summary:The constant-stress partially accelerated life test (CSPALT) model with Type-II hybrid censoring scheme (Type-II HCS) is the subject of our research. Units have a lifetime that follows the generalized Rayleigh distribution. Bayesian and E-Bayesian estimates are derived by applying two of the loss functions, mainly the squared error loss (SEL) and LINEX loss functions. Bayesian and E-Bayesian estimates are obtained using Markov chain Monte Carlo (MCMC) methods. To prove the applicability and the importance of the subject, a test for real data will be provided. To evaluate the distribution’s effectiveness, we utilized a variety of datasets and proposed several kinds of censoring. Finally, all results are compared in order to determine the effectiveness of the proposed methods. All major findings are concluded in the conclusion section.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/6307435