Central limit theorem for bifurcating Markov chains: the mother-daughters triangles case

DOI10.1080/17442508.2023.2295847MaRDI QIDQ6647803

S. Valère Bitseki Penda

Publication date: 3 December 2024

Published in: Stochastics (Search for Journal in Brave)

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes: hypothesis testing (62M02)

Cites Work

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• Deviation inequalities and moderate deviations for estimators of parameters in bifurcating autoregressive models
• Detection of cellular aging in a Galton-Watson process
• Asymptotic analysis for bifurcating autoregressive processes via a martingale approach
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• Autoregressive functions estimation in nonlinear bifurcating autoregressive models
• Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application
• Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
• Central limit theorem for bifurcating markov chains under L²-ergodic conditions

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