Abstract
Motivated by practical engineering requirement, we propose a Bayesian-based approach mainly addressing the reliability estimation of system under imperfect situation. In particular, a novel Bayesian melding approach is developed in the presence of inconsistent priors. Limitations that embedded in traditional melding approach have been eliminated by setting the weighing factor as a hyper parameter. We implement our proposal via a modified sampling importance resampling algorithm, which is developed to balance the contributions of two different probability distributions in a flexible way. Both numerical case and practical engineering application example are demonstrated for validation and benefit illustration.
Funding Information
  • Fundamental Research Funds for the Central Universities of China (FRF-TP-17-056A1)
  • China Postdoctoral Science Foundation (2018M630073)

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