Central limit theorem for kernel estimator of invariant density in bifurcating Markov chains models

DOI10.1007/s10959-022-01205-warXiv2106.08626OpenAlexW3171806003WikidataQ115232533 ScholiaQ115232533MaRDI QIDQ6111884

Jean-François Delmas, S. Valère Bitseki Penda

Publication date: 4 August 2023

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08626

zbMATH Keywords

density estimationkernel estimatorbinary treesbifurcating autoregressive processbifurcating Markov chainsfluctuations for trees indexed Markov chains

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Central limit theorem for bifurcating markov chains under L²-ergodic conditions

Cites Work

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• Approximating perpetuities
• Detection of cellular aging in a Galton-Watson process
• Estimating the division rate and kernel in the fragmentation equation
• Central limit theorem for bifurcating Markov chains under pointwise ergodic conditions
• Statistical estimation in a randomly structured branching population
• Adaptive estimation for bifurcating Markov chains
• Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
• Statistical estimation of a growth-fragmentation model observed on a genealogical tree
• Nonparametric estimation in Markov processes
• Density approximation and exact simulation of random variables that are solutions of fixed-point equations
• Recursive probability density estimation for weakly dependent stationary processes
• The Bifurcating Autoregression Model in Cell Lineage Studies
• Markov Chains
• Local bandwidth selection for kernel density estimation in a bifurcating Markov chain model
• Central limit theorem for bifurcating markov chains under L²-ergodic conditions
• On Estimation of a Probability Density Function and Mode
• Introduction to nonparametric estimation

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