Periodicity and absolute regularity

DOI10.1007/BF02765027zbMath0613.60033WikidataQ105583336 ScholiaQ105583336MaRDI QIDQ1819460

Henry Berbee

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodicityabsolute regularityergodic stationary sequencevariation of a signed measure

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05)

Related Items (8)

On the martingale central limit theorem for strictly stationary sequences ⋮ Strong laws for generalized absolute Lorenz curves when data are stationary and ergodic sequences ⋮ On Marcinkiewicz-Zygmund laws ⋮ Dynamic uniqueness for stochastic chains with unbounded memory ⋮ Entropy rate of product of independent processes ⋮ On tightness of partial sums from strictly stationary, absolutely regular sequences of \(B\)-valued random variables ⋮ Stationary measures for randomly chosen maps ⋮ Natural extensions for the Rosen fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(T,T^{-1}\) transformation is not loosely Bernoulli
• Central limit theorems under weak dependence
• Finitely determined processes - An indiscrete approach
• Sums of dependent random variables
• Absolute regularity and functions of Markov chains
• Mixing properties of a class of skew-products
• Every transformation is bilaterally deterministic
• New \(K\)-automorphisms and a problem of Kakutani
• Weak and very weak Bernoulli partitions
• On isomorphism of weak Bernoulli transformations
• Skew products of Bernoulli shifts with rotations
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels
• Random walks. I

This page was built for publication: Periodicity and absolute regularity