The strong law of large numbers for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree

Hui Dang

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 9, 2110-2125

Abstract: 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.

Date: 2018
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DOI: 10.1080/03610926.2017.1335417

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