Equivalent properties for the bifurcating Markov chains indexed by a binary tree

Zhiyan Shi, Weiguo Yang and Ying Tang

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 24, 6264-6272

Abstract: Guyon has introduced an important model of bifurcating Markov chains indexed by a binary tree taking values in general state space and studied their limit theorems, and applied these results to detect cellular aging. In this paper, we will establish some equivalent properties and a property for this Markov chains. From these properties one can find that two daughters only depend on their mother for bifurcating Markov chains indexed by a binary tree.

Date: 2021
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DOI: 10.1080/03610926.2020.1742923

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