Approximation and exponential inequalities for sums of dependent random vectors

DOI10.1016/S1631-073X(02)02242-2zbMath1009.60006MaRDI QIDQ1598479

Noureddine Rhomari

Publication date: 4 August 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

partial sumsexponential inequalitiesrandom vectorsmixing coefficientsBanach and Hilbert spaces

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

-Almost sure convergence for multivariate probability density estimate from dependent observations ⋮ Nonparametric regression for functional response and functional regressor under dependance

Cites Work

• Unnamed Item
• Approximation theorems for strongly mixing random variables
• Linear processes in function spaces. Theory and applications
• Asymptotic theory of weakly dependent stochastic processes
• Inequalities for Distributions of Sums of Independent Random Vectors and Their Application to Estimating a Density
• Remarks on Inequalities for Large Deviation Probabilities
• Subsampling Continuous Parameter Random Fields and a Bernstein Inequality

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