International Journal of Reliability and Applications
- Volume 3 Issue 4
- /
- Pages.199-202
- /
- 2002
- /
- 1598-0073(pISSN)
- /
- 2283-8914(eISSN)
Laplace Transform of Forward Recurrence Time in an Alternating Renewal Process
- Lee, Eui-Yong (Department of Statistics, Sookmyung Women's University) ;
- An, Hye-Ran (Department of Statistics, Sookmyung Women's University) ;
- Park, Seung-Kyoung (Department of Statistics, Sookmyung Women's University)
- Published : 2002.12.01
Abstract
In this paper, we obtain an explicit formula of the Laplace transform of the forward recurrence time at finite time t > 0 in an alternating renewal process, by adopting a Markovian approach. As a consequence, we obtain the first two moments of the forward recurrence time.