A strong approximation theorem for quasi-associated sequences

DOI10.1007/s10114-004-0471-7zbMath1102.60027OpenAlexW2151725923MaRDI QIDQ2505342

Yanyan Li

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0471-7

zbMATH Keywords

partial sumquasi-associationquantile transform

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)

Cites Work

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• A strong invariance principle for associated sequences
• Central limit theorems for associated random variables and the percolation model
• Some results on increments of the Wiener process with applications to lag sums of i.i.d. random variables
• An invariance principle for weakly associated random vectors
• Moment bounds for associated sequences
• A Berry-Esséen theorem and a functional law of the iterated logarithm for weakly associated random vectors
• Normal fluctuations and the FKG inequalities
• An invariance principle for certain dependent sequences
• Approximation theorems for independent and weakly dependent random vectors
• A law of the iterated logarithm for stable processes in random scenery
• A new method to prove strassen type laws of invariance principle. 1
• A new method to prove strassen type laws of invariance principle. II
• Local Convergence of Martingales and the Law of Large Numbers
• Association of Random Variables, with Applications
• Bounds for Determinants with Dominant Principal Diagonal

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