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On information-based residual lifetime in survival models with delayed failures

Title
On information-based residual lifetime in survival models with delayed failures
Authors
Cha J.H.Finkelstein M.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2018
Journal Title
Statistics and Probability Letters
ISSN
0167-7152JCR Link
Citation
Statistics and Probability Letters vol. 137, pp. 209 - 216
Keywords
Delayed failureGeneralized Polya processPoisson processResidual lifetimeShocks
Publisher
Elsevier B.V.
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
At many practical instances, the initiating point events (e.g., shocks) affect an object not immediately, but after some random delay. These models were studied in the literature only for the case when an initial shock process is Poisson. In our paper, we generalize these results to a meaningful case of the generalized Polya process (GPP) of initial shocks that was recently introduced in the literature. Distinct from the Poisson process, the GPP possesses the property of dependent increments, which makes it much more attractive in applications. We derive the distribution of the time to failure for a system subject to the GPP with delays. Our main focus, however, is on analysis of the corresponding residual lifetime distribution that depends now on the full history (information) of the initiating shock process. © 2018 Elsevier B.V.
DOI
10.1016/j.spl.2018.01.028
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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