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First Exit Times for Ordinary and Compound Poisson Processes with Non-linear Boundaries

✍ Scribed by S. Zacks


Publisher
Springer US
Year
2007
Tongue
English
Weight
364 KB
Volume
9
Category
Article
ISSN
1387-5841

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The first exit time and ruin time for a
✍ Sung Nok Chiu; Chuan Cun Yin πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 120 KB

This paper investigates the ΓΏrst exit time and the ruin time of a risk reserve process with reserve-dependent income under the assumption that the claims arrive as a Poisson process. We show that the Laplace transform of the distribution of the ΓΏrst exit time from an interval satisΓΏes an integro-di