On some properties of shock processes in a 'natural' scale

被引：0

作者：

Cha, Ji Hwan ^{[1
]}

Finkelstein, Maxim ^{[2
,3
]}

机构：

[1] Ewha Womans Univ, Dept Stat, Seoul 120750, South Korea

[2] Univ Free State, Dept Math Stat, ZA-9300 Bloemfontein, South Africa

[3] ITMO Univ, St Petersburg 197101, Russia

来源：

RELIABILITY ENGINEERING & SYSTEM SAFETY | 2016年 / 145卷

基金：

新加坡国家研究基金会;

关键词：

Shock process; Poisson process; Renewal process; Discrete distribution; Shot-noise process; Signature; RELIABILITY; SYSTEMS; REPLACEMENT; MAINTENANCE; SUBJECT; REPAIR;

D O I：

10.1016/j.ress.2015.09.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：104 / 110

页数：7

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