Imperfect repair in degradation processes: A Kijima‐type approach. (17th February 2019)

• Record Type: Journal Article
• Authors: Kahle, Waltraud
• Is Part Of: Applied stochastic models in business and industry. Volume 35:Number 2(2019)
• Page Start: 211
• Page End: 220
• Publication Date: 2019-02-17
• Subjects: degradation process -- imperfect repair -- parameter estimation -- Wiener process; Stochastic analysis -- Periodicals; Stochastic processes -- Periodicals; Business mathematics -- Periodicals; Finance -- Mathematical models -- Periodicals; Industrial management -- Mathematical models -- Periodicals; 338.00151923
• DOI: 10.1002/asmb.2438
• Languages: English
• ISSNs: 1524-1904

Abstract

Abstract: We consider a Wiener process with linear drift for degradation modeling. Regularly, maintenance actions are carried out which produce a reduction of the degradation level. In this paper, we consider the influence of such maintenance actions to the further development of the degradation process and the resulting lifetime distribution. A connection between virtual age in Kijima‐type models and degradation level in the underlying degradation process is developed. Furthermore, estimators for the process parameters as well as for the degree of repair are developed.