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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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2810 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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 theorems for frequencies of states,
ordered couples of states, and the conditional expectation of a bivariate function on Cayley tree. |
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