The strong law of large numbers for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree
| Autor: | Hui Dang |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Markov chain 020206 networking & telecommunications 02 engineering and technology 01 natural sciences Combinatorics 010104 statistics & probability Law of large numbers Non homogeneous 0202 electrical engineering electronic engineering information engineering Entropy (information theory) Ergodic theory Examples of Markov chains 0101 mathematics Mathematics |
| Zdroj: | Communications in Statistics - Theory and Methods. 47:2110-2125 |
| ISSN: | 1532-415X 0361-0926 |
| DOI: | 10.1080/03610926.2017.1335417 |
| Popis: | This article is devoted to the strong law of large numbers and the entropy ergodic theorem for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree, which generalizes the relevant results of tree-indexed nonhomogeneous bifurcating Markov chains. Meanwhile, our proof is quite different from the traditional method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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