Stein’s method of normal approximation for dynamical systems
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Publication:5133897
DOI10.1142/S0219493720500215zbMath1472.60043arXiv1701.02966OpenAlexW2980782354MaRDI QIDQ5133897
Mikko Stenlund, Juho Leppänen, Olli Hella
Publication date: 11 November 2020
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02966
Central limit and other weak theorems (60F05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)
Related Items (2)
Sunklodas' approach to normal approximation for time-dependent dynamical systems ⋮ A note on the finite-dimensional distributions of dispersing billiard processes
Cites Work
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- Rates of convergence in normal approximation under moment conditions via new bounds on solutions of the Stein equation
- Entry times distribution for mixing systems
- Approximation of projections of random vectors
- Fundamentals of Stein's method
- Stein's method and a quantitative Lindeberg CLT for the Fourier transforms of random vectors
- Stein's method for comparison of univariate distributions
- Stein's method for steady-state diffusion approximations of \(\mathrm{M}/\mathrm{Ph}/n+\mathrm{M}\) systems
- Applications of Stein's method for concentration inequalities
- Binomial approximation to the Poisson binomial distribution
- On the rate of convergence in the multivariate CLT
- Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition
- Multivariate normal approximation using Stein's method and Malliavin calculus
- A strong pair correlation bound implies the CLT for Sinai billiards
- Stein's method for diffusion approximations
- A homoclinic version of the central limit theorem
- Poisson approximation for dependent trials
- A Poisson limit theorem for toral automorphisms
- Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
- Quasistatic dynamics with intermittency
- An almost sure ergodic theorem for quasistatic dynamical systems
- An explicit Berry-Esséen bound for uniformly expanding maps on the interval
- An algebra of Stein operators
- Multiple decorrelation and rate of convergence in multidimensional limit theorems for the Prokhorov metric.
- About the Berry-Esseen theorem for weakly dependent sequences
- A multivariate CLT for local dependence with \(n^{-1/2}\log n\) rate and applications to multivariate graph related statistics
- Stein's method in high dimensions with applications
- Poisson limit for two-dimensional toral automorphism driven by continued fractions
- Stein's method, logarithmic Sobolev and transport inequalities
- Stein's method for concentration inequalities
- A vector-valued almost sure invariance principle for Sinai billiards with random scatterers
- Rate of convergence in the multidimensional central limit theorem for stationary processes. Application to the Knudsen gas and to the Sinai billiard
- Moment bounds and concentration inequalities for slowly mixing dynamical systems
- Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
- Exponential approximation and Stein's method of exchangeable pairs
- On Stein’s method for multivariate normal approximation
- Reversing the Berry-Esseen Inequality
- On Bounds to the Rate of Convergence in the Central Limit Theorem
- Sums of Stationary Random Variables
- Normal Approximation by Stein’s Method
- Vitesse de convergence dans le TCL pour des chaı̂nes de Markov et certains processus associés à des systèmes dynamiques
- A short survey of Stein's method
- Quasistatic dynamical systems
- An Introduction to Stein's Method
- Multivariate normal approximations by Stein's method and size bias couplings
- On the Dispersion of Time-Dependent Means of a Stationary Stochastic Process
- Entry and return times distribution
- CLT-related large deviation bounds based on Stein's method
- Rates of convergence in the CLT for two-dimensional dispersive billiards.
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