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A new age‐ and state‐dependent degradation process with possibly negative increments
Author(s) -
Giorgio Massimiliano,
Pulcini Gianpaolo
Publication year - 2019
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2525
Subject(s) - wiener process , degradation (telecommunications) , estimator , monotonic function , process (computing) , mathematics , state (computer science) , computer science , statistical physics , mathematical optimization , statistics , algorithm , physics , mathematical analysis , telecommunications , operating system
Abstract 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.