- Türkiye İstatistik Derneği Dergisi
- Vol: 12 Issue: 1
- Discrete time shock model with varying success probability
Discrete time shock model with varying success probability
Authors : Kadir Karakaya, Yunus Akdoğan, Fatih Şahin, Ismail Kinaci, Coşkun Kuş
Pages : 13-24
View : 13 | Download : 6
Publication Date : 2019-07-31
Article Type : Research
Abstract : Let us consider a system fails when the time between two consecutive shocks falls below a fixed threshold $\delta \in N$ and the system's lifetime is measured as the time up to the occurrence of this event. In this paper, we consider the interarrival times between $(i-1)$ i-th and $i$- th successive shocks follow a geometric distribution with mean 1/p i ,where p i =t heta* p i-1 , i=1,2,..., , 0< theta <1, 0
Keywords : q-distributions, delta-Shock model, probabilty generating function