Objective Bayesian analysis of accelerated degradation models based on Wiener process with correlation

Abstract

In this paper we propose an objective Bayesian method to analyze the accelerated degradation model based on the new Wiener process stated in Ye, Chen, and Shen (Reliab. Eng. Syst. Safe., 2015, 139: 58–67). The Jeffreys prior and reference priors are derived after reparameterization, and the posterior properties under each prior are validated. A Metropolis random walk algorithm is then employed to generate samples from the posterior distributions, and a simulation study is carried out to reveal the frequentist properties of these priors. Finally, we apply the approach to a real data and obtain the mean-time-to-failure (MTTF) under the usage condition.

Keywords:

• Accelerated degradation test
• Wiener process
• correlation
• objective Bayes
• mean-time-to-failure

Additional information

Funding

This work was partly supported by the Natural Science Foundation of Anhui Province under Grant (No. 2008085MA08).