A note on a theorem of Berkes and Philipp for dependent sequences

DOI10.1016/0167-7152(82)90015-3zbMath0496.60031OpenAlexW2032116257MaRDI QIDQ1170555

André Robert Dabrowski

Publication date: 1982

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(82)90015-3

zbMATH Keywords

law of the iterated logarithmcentral limit theoremweakly dependent sequencesalmost sure invariance principles

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Functional limit theorems; invariance principles (60F17)

Related Items (3)

An almost sure invariance principle for stationary ergodic sequences of Banach space valued random variables ⋮ Strong approximation of partial sums under dependence conditions with application to dynamical systems ⋮ Almost sure invariance principles for mixing sequences of random variables

Cites Work

• Upper and lower functions for martingales and mixing processes
• Approximation theorems for independent and weakly dependent random vectors
• A Sufficient Condition for Linear Growth of Variances in a Stationary Random Sequence

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