Functional laws of the iterated logarithm for large increments of empirical and quantile processes

DOI10.1016/0304-4149(92)90080-AzbMath0767.60028MaRDI QIDQ1201763

Paul Deheuvels

Publication date: 17 January 1993

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

zbMATH Keywords

empirical processesquantile processesdensity estimationnonparametric density estimationfunctional strong limit laws

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Foundations of stochastic processes (60G05)

Related Items (10)

Functional limit laws for the increments of Kaplan-Meier product-limit processes and applications ⋮ Uniform-in-bandwidth functional limit laws ⋮ Strong laws for local quantile processes ⋮ The \(L_1\)-norm density estimator process ⋮ Module d'oscillation fonctionnel de quelques processus réels. (Functional oscillation modulus of some real random processes) ⋮ On the coverage of Strassen-type sets by sequences of Wiener processes ⋮ Nonstandard strong laws for local quantile processes ⋮ Inner rates of coverage of Strassen type sets by increments of the uniform empirical and quantile processes ⋮ Functional laws of the iterated logarithm for small increments of empirical processes ⋮ Some results on increments of the partially observed empirical process

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