On the ψ-Mixing Condition for Stationary Random Sequences

DOI10.2307/1999417zbMath0514.60041OpenAlexW4237471143MaRDI QIDQ3660608

Richard C. jun. Bradley

Publication date: 1983

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999417

zbMATH Keywords

strictly stationary sequencestrong-mixing

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Probabilistic measure theory (60A10) Zero-one laws (60F20)

Related Items (23)

A dimension gap for continued fractions with independent digits -- the non stationary case ⋮ Perturbations of copulas and mixing properties ⋮ A note on the relationship between the rate functions for stationary dependent random sequences in \(\tau\)-topology and the relative entropy ⋮ An estimate of deviation probabilities of the sample mean of variables with \(\psi\)-semimixing ⋮ Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps ⋮ Recurrence times, waiting times and universal entropy production estimators ⋮ Limit theory for some positive stationary processes with infinite mean ⋮ Absolute regularity and functions of Markov chains ⋮ Every ``lower psi-mixing Markov chain is ``interlaced rho-mixing ⋮ Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails ⋮ The weak Bernoulli property for matrix Gibbs states ⋮ Long range dependence of heavy-tailed random functions ⋮ Dependence and mixing for perturbations of copula-based Markov chains ⋮ On large deviations for uniformly strong mixing sequences ⋮ On the convergence of averages of mixing sequences ⋮ An addendum to ``A limitation of Markov representation for stationary processes ⋮ Statistical properties for nonhyperbolic maps with finite range structure ⋮ Some new examples of Gibbs measures ⋮ Trimmed sums for non-negative, mixing stationary processes. ⋮ Robbins-Monro algorithm with \(\psi\)-mixing random errors ⋮ A limitation of Markov representation for stationary processes ⋮ Hausdorff dimension, heavy tails, and generalization in neural networks* ⋮ Identical mixing rates

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