Chung-type functional laws of the iterated logarithm for tail empirical processes

DOI10.1016/S0246-0203(00)00143-6zbMath0973.60027OpenAlexW2043836944MaRDI QIDQ1592251

Paul Deheuvels

Publication date: 18 November 2001

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2000__36_5_583_0

zbMATH Keywords

empirical processesfunctional laws of the iterated logarithmstrong laws

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Some singular sample path properties of a multiparameter fractional Brownian motion ⋮ Module d'oscillation fonctionnel de quelques processus réels. (Functional oscillation modulus of some real random processes) ⋮ Functional Chung laws for small increments of the empirical process and a lowerbound in the strong invariance principle ⋮ Inner rates of coverage of Strassen type sets by increments of the uniform empirical and quantile processes ⋮ Some new almost sure results on the functional increments of the uniform empirical process ⋮ Functional limit laws for local empirical processes in a spatial setting ⋮ The multifractal nature of Volterra-Lévy processes ⋮ Small ball probabilities for a centered Poisson process of high intensity

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