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- Title
Remaining useful life evaluation for accelerated Wiener degradation process model with mixed random effects and measurement errors.
- Authors
Duan, Fengjun; Wang, Guanjun; Wei, Wanmeng; Jiang, Mingye
- Abstract
This paper evaluates the remaining useful life (RUL) for the accelerated Wiener process with mixed random effects and measurement errors. In the discussed model, the random effects are included in both the drift and diffusion parameters of the Wiener process to model the heterogeneity among different degradation paths of products. The measurement errors are introduced to describe the inaccuracy during the measurement process. The effect of the accelerated stress level is included in the drift parameter. The expectation‐maximization (EM) algorithm is applied to obtain the estimation of the model parameters. The expressions of the probability density functions (PDFs) and cumulative distribution functions (CDFs) of the lifetime and RUL distributions of products under the normal usage stress level are derived theoretically. Finally, an example of stress relaxation data is used to illustrate the effectiveness of the developed model and method.
- Subjects
REMAINING useful life; WIENER processes; MEASUREMENT errors; RANDOM effects model; PROBABILITY density function; CUMULATIVE distribution function
- Publication
Quality & Reliability Engineering International, 2023, Vol 39, Issue 4, p1334
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.3296