2019
DOI: 10.1177/1748006x19860682
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Inverse Gaussian–based model with measurement errors for degradation analysis

Abstract: To build more credible degradation models, it is necessary to consider measurement errors in degradation analysis. This article proposes an inverse Gaussian-based state space model with measurement errors that can capture the unit-to-unit variability of the degradation rate by incorporating a random effect. Then, the lifetime distribution and alarm probabilities are derived. Under the non-Gaussian assumptions, conventional parameter estimation algorithms cannot be applied directly. Therefore, an improved expec… Show more

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Cited by 8 publications
(10 citation statements)
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“…In many cases, the degradation process of products is accumulated and irreversible, such as fatigue crack growth and corrosion. The advantages of the IG process in modelling monotonic degradation paths have been well studied by Ye and Chen [9], Peng [10], and Chen et al [15] respectively. This article aims to further study the IG process-based adaptive model, which will extend the application of the IG process.…”
Section: Model Comparison and Discussionmentioning
confidence: 99%
See 2 more Smart Citations
“…In many cases, the degradation process of products is accumulated and irreversible, such as fatigue crack growth and corrosion. The advantages of the IG process in modelling monotonic degradation paths have been well studied by Ye and Chen [9], Peng [10], and Chen et al [15] respectively. This article aims to further study the IG process-based adaptive model, which will extend the application of the IG process.…”
Section: Model Comparison and Discussionmentioning
confidence: 99%
“…In recent years, the Ornstein-Uhlenbeck (OU) process has been introduced to describe the nonmonotonic degradation path by researchers [13], [14]. However, the OU process is still in the exploratory stage in degradation modelling without a widely used form [15].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The wear process is often complex and random, and it is irreversible and related to stress, heat, lubrication status, physical and chemical interaction between the friction pairs. 28 In the literature, the IG model has been widely used to describe such irreversible degradation processes and to incorporate the relationships between the degradation process and different stresses. 29 For illustration purposes, the IG process model is utilized in this study for modeling and planning multi-stress AT under the following assumptions:…”
Section: Load Spectra Design For Multi-stress At Using Mslmmentioning
confidence: 99%
“…As a motivating example, the hydraulic piston pump in a hydraulic system suffers from pressure, flow, rotation speed, and temperature. [24][25][26][27][28] Ma et al 27 analyzed the critical stress affecting the lifetime of the hydraulic pump and the typical failure mechanism. For this type of products, the main failure mode is oil leakage caused by the wear of two contact surfaces (friction pairs).…”
Section: Application Of Mslm In Load Spectra Design For Multi-stress Atmentioning
confidence: 99%