On tightness of partial sums from strictly stationary, absolutely regular sequences of \(B\)-valued random variables

DOI10.1006/jmaa.1999.6601zbMath0945.60029OpenAlexW1984362195MaRDI QIDQ1963969

Richard C. jun. Bradley

Publication date: 11 October 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6601

zbMATH Keywords

complete dissipation\(B\)-valued random variablesabsolutely regular tightnessshift-tightness

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)

Related Items (1)

A restricted dichotomy of equivalence classes for some measures of dependence

Cites Work

• Stationary strongly mixing sequences not satisfying the central limit theorem
• On the central limit question under absolute regularity
• Almost sure invariance principles for weakly dependent vector-valued random variables
• On the dissipation of partial sums from a stationary strongly mixing sequence
• A ``coboundary theorem for sums of random variables taking their values in a Banach space
• Periodicity and absolute regularity
• A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
• Some Limit Theorems for Random Functions. I
• On recurrence
• A note on a theorem of Berkes and Philipp
• On Concentration of Distributions of Sums of Independent Random Vectors on Bounded Sets
• Tightness bounds for strongly mixing random sequences
• On the Dispersion of Time-Dependent Means of a Stationary Stochastic Process
• On the concentration function of a sum of independent random variables
• On a theorem of K. Schmidt
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