A Random Shock Model for a Linearly Deteriorating System
- Authors
- Lee, Ji-Yeon; Lee, Eui-Young
- Issue Date
- Dec-1995
- Publisher
- 한국통계학회
- Citation
- Journal of the Korean Statistical Society, v.24, no.2, pp 471 - 479
- Pages
- 9
- Journal Title
- Journal of the Korean Statistical Society
- Volume
- 24
- Number
- 2
- Start Page
- 471
- End Page
- 479
- URI
- https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/159258
- ISSN
- 1226-3192
2005-2863
- Abstract
- A random shock model for a linearly deteriorating system is introduced. The system deteriorating linearly with time is subject to random shocks which arrive according to a Poisson process and decrease the state of the system by a random amount. The system is repaired by a repairmen arriving according to another Poisson process if the state when he arrives is below a threshold. Explicit expressions are deduced for the characteristic function of the distribution function of X(t), the state of the system at time t, and for the distribution function of X(t) if X(t) is over the threshold. The stationary case is briefly discussed.
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