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• W3191119384 abstract "In this paper, we study the generalized entropy ergodic theorem for nonhomogeneous bifurcating Markov chains indexed by a binary tree. Firstly, by constructing a class of random variables with a parameter and the mean value of one, we establish a strong limit theorem for delayed sums of the bivariate functions of such chains using the Borel-Cantelli lemma. Secondly, we prove the strong law of large numbers for the frequencies of occurrence of states of delayed sums and the generalized entropy ergodic theorem. As corollaries, we generalize some known results." @default.
• W3191119384 created "2021-08-16" @default.
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• W3191119384 date "2021-08-03" @default.
• W3191119384 modified "2023-10-12" @default.
• W3191119384 title "The Generalized Entropy Ergodic Theorem for Nonhomogeneous Bifurcating Markov Chains Indexed by a Binary Tree" @default.
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• W3191119384 doi "https://doi.org/10.1007/s10959-021-01117-1" @default.
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