Deviation inequalities for dependent sequences with applications to strong approximations
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Publication:6570494
DOI10.1016/J.SPA.2024.104377zbMATH Open1546.60061MaRDI QIDQ6570494
Emmanuel Rio, Florence Merlevède, Jérôme Dedecker
Publication date: 10 July 2024
Published in: (Search for Journal in Brave)
Inequalities; stochastic orderings (60E15) Functional limit theorems; invariance principles (60F17) Dynamical systems involving maps of the interval (37E05)
Cites Work
- Title not available (Why is that?)
- Rates of convergence in the strong invariance principle under projective criteria
- Moment bounds for dependent sequences in smooth Banach spaces
- Strong approximation of partial sums under dependence conditions with application to dynamical systems
- Recurrence times and rates of mixing
- Small sets and Markov transition densities.
- On additive functionals of Markov chains
- Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains
- On the functional central limit theorem for stationary processes
- Komlós-Major-Tusnády approximation under dependence
- Strong invariance principles for dependent random variables
- Strong approximation for additive functionals of geometrically ergodic Markov chains
- A new covariance inequality and applications.
- Strong approximation of the empirical distribution function for absolutely regular sequences in \({\mathbb R}^d\)
- Asymptotic Theory of Weakly Dependent Random Processes
- Rates in almost sure invariance principle for slowly mixing dynamical systems
- General Irreducible Markov Chains and Non-Negative Operators
- [https://portal.mardi4nfdi.de/wiki/Publication:3933699 The Berry-Esse�n theorem for strongly mixing Harris recurrent Markov chains]
- An approximation of partial sums of independent RV's, and the sample DF. II
- The approximation of partial sums of independent RV's
- On the tail behavior of sums of independent random variables
- On a Representation of Random Variables
- A probabilistic approach to intermittency
- Markov Chains
- Large and moderate deviations for bounded functions of slowly mixing Markov chains
- Functional Gaussian Approximation for Dependent Structures
- Quadratic transportation cost in the conditional central limit theorem for dependent sequences
- Deviation and concentration inequalities for dynamical systems with subexponential decay of correlations
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