On some properties of shock processes in a 'natural' scale
- 주제(키워드) Discrete distribution , Poisson process , Renewal process , Shock process , Shot-noise process , Signature
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier Ltd
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000119728
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.ress.2015.09.009
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
We consider shocks modeling in a 'natural' scale which is a discrete scale of natural numbers. A system is subject to the shock process and its survival probability and other relevant characteristics are studied in this scale. It turns out that all relations for the probabilities of interest become much easier in the new scale as compared with the conventional chronological time scale. Furthermore, it does not matter what type of the point process of shocks is considered. The shock processes with delays and the analog of a shot-noise process are discussed. Another example of the application of this concept is presented for systems with finite number of components described by signatures. © 2015 Published by Elsevier Ltd.
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