Central limit theorem for bifurcating Markov chains under pointwise ergodic conditions

DOI10.1214/21-AAP1774zbMath1500.60013arXiv2012.04741OpenAlexW3139264845WikidataQ115021781 ScholiaQ115021781MaRDI QIDQ2090608

Jean-François Delmas, S. Valère Bitseki Penda

Publication date: 31 October 2022

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04741

zbMATH Keywords

central limit theorembinary treesbifurcating Markov chainstree indexed Markov chain

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes: hypothesis testing (62M02)

Related Items

Central limit theorem for bifurcating markov chains under L²-ergodic conditions, Central limit theorem for kernel estimator of invariant density in bifurcating Markov chains models, Moderate deviation principles for bifurcating Markov chains: case of functions dependent of one variable

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