A general LIL for \(B\)-valued geometrically weighted series under dependent assumption

DOI10.1007/s10474-011-0146-7zbMath1265.60045OpenAlexW2134115904MaRDI QIDQ663081

Juan-Miguel Gracia

Publication date: 13 February 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0146-7

zbMATH Keywords

law of the iterated logarithmgeometrically weighted series\(\psi\)-mixingtype 2 Banach space

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

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• Lil behavior for weakly dependent random variables in Banach spaces
• Almost sure invariance principles for partial sums of mixing B-valued random variables
• Almost sure invariance principles for weakly dependent vector-valued random variables
• Invariance principles for mixing sequences of random variables
• Approximation theorems for independent and weakly dependent random vectors
• Almost sure invariance principles for mixing sequences of random variables
• A law of the iterated logarithm for geometrically weighted martingale difference sequences
• Strong approximation theorems for geometrically weighted random series and their applications
• A law of the iterated logarithm for geometrically weighted series of negatively associated random variables.
• A law of the iterated logarithm for random geometric series
• Some results on two-sided LIL behavior
• Characterization of LIL behavior in Banach space
• Almost sure invariance principles for partial sums of weakly dependent random variables
• The Bounded Law of the Iterated Logarithm for Weakly Dependent Random Variables with Values in a Type 2 Banach Space

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