Investigation of the asymptotics of a renewal matrix

• Date: 2006
• ISSN: 0321-3900
• Main Author: Buhrii, N.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4439
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Investigation of the asymptotics of a renewal matrix / N. V. Buhrii // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 33–37. — Бібліогр.: 8 назв.— англ.

A semi-Markov process with finite state space and continuous time without finiteness
 condition of a mean stay time of this process in every fixed state is considered. The asymptotic behaviour of the renewal matrix at infinity is established under condition that the distribution tail of the stay...