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A new age‐ and state‐dependent degradation process with possibly negative increments
Ist Teil von
Quality and reliability engineering international, 2019-07, Vol.35 (5), p.1476-1501
Ort / Verlag
Bognor Regis: Wiley Subscription Services, Inc
Erscheinungsjahr
2019
Link zum Volltext
Quelle
Wiley Online Library Journals Frontfile Complete
Beschreibungen/Notizen
A new age‐ and state‐dependent degradation process is proposed, which can be used in the case the degradation phenomenon under study is not necessarily monotonic increasing. In particular, the degradation increments of the proposed model are assumed to be possibly dependent on each other and negative. The model is obtained by generalizing the well‐known and largely applied Wiener process and partially preserves the mathematically tractability of the Wiener process. In the paper, the main features and properties of the proposed model are first discussed and the maximum likelihood estimators of its parameters are derived. An applicative example is finally developed, which shows the feasibility and the effectiveness of the proposed approach.