A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system

• Published in: Український математичний журнал
• Date: 2011
• ISSN: 1027-3190
• Main Author: Kangkang Wang
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166382
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system / Kangkang Wang // Український математичний журнал. — 2011. — Т. 63, № 10. — С. 1336–1351. — Бібліогр.: 11 назв. — англ.

We study strong limit theorems for a bivariate function sequence of an nonhomogeneous Markov chain indexed by a generalized Bethe tree on a generalized random selection system by constructing a nonnegative martingale. As corollaries, we generalize results of Yang and Ye and obtain some limit theorem...