Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. I

• Date: 2006
• Main Authors: Silvestrov, D.S., Drozdenko, M.O.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4465
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. I / D.S. Silvestrov, M.O. Drozdenko // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 151–186. — Бібліогр.: 62 назв.— англ.

Necessary and sufficient conditions for weak convergence of first-rareevent times for semi-Markov processes with finite set of states are obtained. These results are applied to risk processes and give necessary and sufficient conditions for stable approximation of ruin probabilities including the cas...