The central limit theorem for empirical and quantile processes in some Banach spaces

DOI10.1016/0304-4149(93)90083-GzbMath0780.60011MaRDI QIDQ1802316

Rimas Norvaiša

Publication date: 30 January 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

empirical processesOrlicz spaceBrownian bridge\(p\)-convexity\(q\)-concavitycentral limit theorem in Banach spaces

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

Rates of convergence in the asymptotic normality for some local maximum estimators ⋮ Distributions of tail empirical processes on Banach function spaces

Cites Work

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• Central limit theorems and weak laws of large numbers in certain banach spaces
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• Norm convergent expansion for $L_{Φ}$-valued Gaussian random elements

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