Accelerated degradation process analysis based on the nonlinear Wiener process with covariates and random effects
type: Item
instance of: scholarly article
title: Accelerated degradation process analysis based on the nonlinear Wiener process with covariates and random effects
zbMATH Open document ID: 1400.62221
DOI: 10.1155/2016/5246108
author: Li Sun
author: Xiaohui Gu
author: Pu Song
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: It is assumed that the drift parameter is dependent on the acceleration variables and the diffusion coefficient remains the same across the whole accelerated degradation test (ADT) in most of the literature based on Wiener process. However, the diffusion coefficient variation would also become obvious in some applications with the stress increasing. Aiming at the phenomenon, the paper concludes that both the drift parameter and the diffusion parameter depend on stress variables based on the invariance principle of failure mechanism and Nelson assumption. Accordingly, constant stress accelerated degradation process (CSADP) and step stress accelerated degradation process (SSADP) with random effects are modeled. The unknown parameters in the established model are estimated based on the property of degradation and degradation increment, separately for CASDT and SSADT, by the maximum likelihood estimation approach with measurement error. In addition, the simulation steps of accelerated degradation data are provided and simulated step stress accelerated degradation data is designed to validate the proposed model compared to other models. Finally, a case study of CSADT is conducted to demonstrate the benefits of our model in the practical engineering.
Mathematics Subject Classification ID: 62N02
zbMATH DE Number: 6953289
Wikidata QID: Q59131512
describes a project that uses: SPLIDA
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5246108
OpenAlex ID: W2566159377
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description: scientific article; zbMATH DE number 6953289