Aging Properties of a Discrete-Time Failure and Repair Model

被引：7

作者：

Belzunce, Felix ^{[1
]}

Ortega, Eva-Maria ^{[2
]}

Ruiz, Jose M. ^{[1
]}

机构：

[1] Univ Murcia, Dpto Estadist & Invest Operat, E-30100 Murcia, Spain

[2] Univ Miguel Hernandez, Ctr Invest Operat, Alicante 03312, Spain

来源：

IEEE TRANSACTIONS ON RELIABILITY | 2009年 / 58卷 / 01期

关键词：

Discrete aging; discrete failure model; pure birth shock model; random sum; MEAN-RESIDUAL-LIFE; HNBUE SURVIVAL; SHOCK-MODELS; PRESERVATION; ORDERINGS;

D O I：

10.1109/TR.2008.2011870

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

We introduce a failure and repair model that is a discrete-time version of the pure birth shock model. Its discrete lifetime is a random sum with support on N, and with geometric summands, that represent the number of successful tasks between consecutive shocks performed by an engineering system. We provide distributional properties and conditions that lead to the discrete aging properties of such random sums. Our results provide qualitative insight into the discrete lifetime distribution of our model.

引用

页码：161 / 171

页数：11

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