Title
Gibbs sampler for noisy Transformed Gamma process: Inference and remaining useful life estimation
Abstract
Stochastic processes are widely used to describe continuous degradation, among which the monotonically increasing degradation is most common. However, the observation is often perturbed with undesired noise due to sensor or measurement errors in practice. This paper focuses on predicting the degradation growth and estimating the system’s remaining useful life based on noisy observations. The deterioration is modeled by a Transformed Gamma process, accounting for both time- and state-dependent degradation increments. Measurement error is assumed to follow a normal distribution. We propose to use an improved Gibbs sampler to estimate the hidden degradation states. Combined with Expectation–Maximization, the Gibbs sampler can be used for model parameter estimation. The probability of false/failed alarm and distribution of remaining useful life are also derived. The proposed method is applied to choke valve erosion data collected from NTNU’s laboratory, and the influence of covariates on the degradation rate is discussed.
Year
DOI
Venue
2022
10.1016/j.ress.2021.108084
Reliability Engineering & System Safety
Keywords
DocType
Volume
Transformed Gamma process,Measurement error,Gibbs sampler,Expectation–Maximization,Remaining useful life
Journal
217
ISSN
Citations 
PageRank 
0951-8320
1
0.38
References 
Authors
9
4
Name
Order
Citations
PageRank
Xingheng Liu110.38
José Matias210.38
Johannes Jäschke310.38
Jørn Vatn410.38