An invariance principle for lattices of dependent random variables

DOI10.1007/BF00533633zbMath0397.60031OpenAlexW2063070755MaRDI QIDQ4181032

Ernst Eberlein

Publication date: 1979

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533633

zbMATH Keywords

Central Limit TheoremInvariance PrincipleBanach Space Valued Random Vectors

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Limit theorems for sums of weakly dependent Banach space valued random variables ⋮ The Wasserstein distance and approximation theorems ⋮ On weak invariance principles for partial sums ⋮ Random sheets ⋮ A note on strongly mixing lattices of random variables ⋮ On the speed of convergence in the random central limit theorem for ?-mixing processes ⋮ The invariance principle for ϕ-mixing sequences

Cites Work

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• A functional central limit theorem for stationary random fields
• Functional central limit theorems in Banach spaces
• Mixing properties in lattice systems
• The invariance principle for Banach space valued random variables
• Random sheets
• Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
• On Weak Convergence of Stochastic Processes with Multidimensional Time Parameter
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

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