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Mathematical Problems in Engineering
Volume 2014, Article ID 486368, 8 pages
Research Article

A Bayesian Framework for Reliability Assessment via Wiener Process and MCMC

1Department of Industrial Engineering, Southeast University, Nanjing 211189, China
2Department of Mathematics, Hubei Engineering University, Xiaogan 432100, China

Received 27 August 2013; Revised 2 March 2014; Accepted 14 March 2014; Published 9 April 2014

Academic Editor: Sarp Adali

Copyright © 2014 Huibing Hao and Chun Su. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [6 citations]

The following is the list of published articles that have cited the current article.

  • Bousquet, Fouladirad, Grall, and Paroissin, “Bayesian gamma processes for optimizing condition-based maintenance under uncertainty,” Applied Stochastic Models in Business and Industry, vol. 31, no. 3, pp. 360–379, 2015. View at Publisher · View at Google Scholar
  • Wei-an Yan, Bao-wei Song, Gui-lin Duan, and Yi-min Shi, “Real-time reliability evaluation of two-phase Wiener degradation process,” Communications in Statistics - Theory and Methods, vol. 46, no. 1, pp. 176–188, 2016. View at Publisher · View at Google Scholar
  • Luis Alberto Rodríguez-Picón, Víctor Hugo Flores-Ochoa, Luis Carlos Méndez-González, and Manuel Arnoldo Rodríguez-Medina, “Bivariate degradation modelling with marginal heterogeneous stochastic processes,” Journal of Statistical Computation and Simulation, pp. 1–20, 2017. View at Publisher · View at Google Scholar
  • Yang Zhang, Bo Guo, and Xiang Jia, “Bayesian framework for satellite rechargeable lithium battery synthesizing bivariate degradation and lifetime data,” Journal of Central South University, vol. 25, no. 2, pp. 418–431, 2018. View at Publisher · View at Google Scholar
  • Zhengxin Zhang, Xiaosheng Si, Changhua Hu, and Yaguo Lei, “Degradation Data Analysis and Remaining Useful Life Estimation: A Review on Wiener-Process-Based Methods,” European Journal of Operational Research, 2018. View at Publisher · View at Google Scholar
  • Dong Wang, and Kwok-Leung Tsui, “Brownian motion with adaptive drift for remaining useful life prediction: Revisited,” Mechanical Systems and Signal Processing, vol. 99, pp. 691–701, 2018. View at Publisher · View at Google Scholar