THERMAL SCIENCE

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Ying Wang

,

Zai-Zai Yan

BAYESIAN INFERENCE FOR A SIMPLE STEP-STRESS ACCELERATED DEPENDENT COMPETING FAILURE MODEL

ABSTRACT
The Copula approach can be used to describe the dependence structure between variables. In this paper, by using a Bivariate Clayton copula, we discuss the statistical analysis of a simple step-stress accelerated dependent competing failure model under progressively Type-II censoring sample. With the assumption of cumulative exposure, the Bayesian estimations of the model parameters are derived. Based on Monte-Carlo simulation, the precision of the estimates is assessed. Finally, the statistical analysis of an actual data set of a solar lighting insulation system has been presented for illustrative purposes.
KEYWORDS
step-stress accelerated life test, dependent competing risk model, cumulative exposure model, bivariate clayton copula, Bayesian estimations
PAPER SUBMITTED: 2021-08-15
PAPER REVISED: 2022-07-01
PAPER ACCEPTED: 2022-07-01
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303091W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [2091 - 2098]
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Bayesian inference for a simple step-stress accelerated dependent competing failure model

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