Thermal Science 2023 Volume 27, Issue 3 Part A, Pages: 2091-2098
https://doi.org/10.2298/TSCI2303091W
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Bayesian inference for a simple step-stress accelerated dependent competing failure model
Wang Ying (Science College, Inner Mongolia University of Technology, Hohhot, China)
Yan Zai-Zai (Science College, Inner Mongolia University of Technology, Hohhot, China), zz.yan@163.com
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
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