\(U\)-statistics of Ornstein-Uhlenbeck branching particle system
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Publication:482785
DOI10.1007/s10959-013-0503-2zbMath1311.60093arXiv1007.1719OpenAlexW3122730117WikidataQ59398872 ScholiaQ59398872MaRDI QIDQ482785
Piotr Miłoś, Radosław Adamczak
Publication date: 6 January 2015
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.1719
Ornstein-Uhlenbeck processcentral limit theorem\(U\)-statisticssupercritical branching particle systems
Central limit and other weak theorems (60F05) Generalized stochastic processes (60G20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (7)
Functional central limit theorems for supercritical superprocesses ⋮ Phylogenetic effective sample size ⋮ The genealogy of an exactly solvable Ornstein-Uhlenbeck type branching process with selection ⋮ Phase transition on the convergence rate of parameter estimation under an Ornstein-Uhlenbeck diffusion on a tree ⋮ Spatial central limit theorem for supercritical superprocesses ⋮ Phylogenetic confidence intervals for the optimal trait value ⋮ A Central Limit Theorem for punctuated equilibrium
Cites Work
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- Central limit theorem through expansion of the propagation of chaos for Bird and Nanbu systems
- Convergence of \(U\)-statistics for interacting particle systems
- Strong law of large numbers for branching diffusions
- Tree based functional expansions for Feynman--Kac particle models
- Symmetric statistics, Poisson point processes, and multiple Wiener integrals
- Asymptotic distribution of symmetric statistics
- A functional CLT for the occupation time of a state-dependent branching random walk
- CLT for Ornstein-Uhlenbeck branching particle system
- Limit theorems for functionals of mixing processes with applications to $U$-statistics and dimension estimation
- Orthogonal series and limit theorems for canonical U-and V-statistics of stationary connected observations
- An Introduction to Branching Measure-Valued Processes
- Gaussian Hilbert Spaces
- Real Analysis and Probability
- Sharp Propagation of Chaos Estimates for Feynman–Kac Particle Models
- Mises’ Theorem on the Asymptotic Behavior of Functionals of Empirical Distribution Functions and Its Statistical Applications
- A Class of Statistics with Asymptotically Normal Distribution
- The Theory of Unbiased Estimation
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