Wiener processes with random effects for degradation data

By Xiao Wang. Journal of Multivariate Analysis, 2010

403 citations recorded by the source corpus.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/13836c68582482154cc39145c2806ecc439f1d8f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Safety, Risk, Reliability and Quality

1. Z. Ye
2. Bo Guo
3. Xiaolin Wang
4. Kwok Leung Tsui
5. Xiaosheng Si
6. Changhua Hu
7. Donghua Zhou
8. Wenbin Wang

In Statistics and Probability

1. Bo Guo
2. Xiaolin Wang
3. Z. Ye
4. Kwok Leung Tsui
5. Donghua Zhou
6. Nan Chen
7. Narayanaswamy Balakrishnan
8. Michael G. Pecht

Citations in the corpus

• A Two-Stage Data-Driven-Based Prognostic Approach for Bearing Degradation Problem (2016, methodology): “To describe the degradation process in a continuous system, a typical form of Wiener process can be expressed as [27], [31] TABLE I TIME-DOMAIN FEATURES”
• Stochastic modelling and analysis of degradation for highly reliable products (2015, neutral): “Wang [33] introduced a random-effects model by letting σ−2 ∼ Gamma(r, δ) and [ν|σ2] ∼ N(υ, θσ2).”
• Residual life estimation based on bivariate non-stationary gamma degradation process (2015, methodology): “For the direct degradation data, models of interest include the regression-based model,[3–5] the Wiener processbased model,[2,6,7] and the gamma process-based model.”
• Real-time reliability evaluation of two-phase Wiener degradation process (2017, background): “Wang (2010) studied the maximum-likelihood inference on a class of Wiener processes with random effects for degradation data.”
• Reliability Modeling for Systems with Multiple Degradation Processes Using Inverse Gaussian Process and Copulas (2014, methodology): “Normality assumption for μ p has been adopted by many studies [18].”
• Remaining Useful Life Prediction of Lithium-Ion Batteries Based on the Wiener Process with Measurement Error (2014, background): “such as bridge beams [26], milling machines [27], light-emitting diodes (LEDs) [28,29], micro electro mechanical systems (MEMS) [30], laser generators [31], continuous stirred tank reactors [32], and gyros [33–35].”
• Remaining useful life estimation - A review on the statistical data driven approaches (2011, background): “The last two extensions considered the influences of external variables ( Wang and Hussian , 2009 ) and multiple failure modes ( Carr and Wang , 2010 ) respectively .”
• Bivariate degradation analysis of products based on Wiener processes and copulas (2013, background): “Due to many good and convenient properties of the Wiener process, it is often taken to describe the degradation of products [4,5,12].”
• Degradation Data Analysis Using Wiener Processes With Measurement Errors (2013, methodology): “It should be noted that the normality assumption for the random effect term has been adopted by many studies [2], [3], [22], [24].”
• The Inverse Gaussian Process as a Degradation Model (2014, methodology): “Random effects variants of the Wiener process can be found in Peng and Tseng (2009) and Wang (2010), and will be discussed in Section 3 when random effects models for the inverse Gaussian (IG) process are developed.”