On extension of the limit theorem of renewal theory and its application

• Date: 2006
• Main Author: Bondarenko, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4453
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On extension of the limit theorem of renewal theory and its application / A. Bondarenko // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 3-4. — С. 12–19. — Бібліогр.: 6 назв.— англ.

An extension of the limit theorem of renewal theory on the case of semi-Markov process with an atom of the stationary distribution of the embedded Markov chain is obtained in this paper. The obtained result is used for finding an analytic solution of a reliability problem for a system with protection...