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

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...

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Bibliographic Details
Date:	2011
Main Authors:	Kangkang, Wang, Канґканг, Ванг
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2011
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2810
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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