An \(L^p\)-view of the Bahadur-Kiefer theorem

DOI10.1007/s10998-005-0004-xzbMath1098.62059OpenAlexW2093980678MaRDI QIDQ2568544

Zhan Shi, Miklós Csörgő

Publication date: 5 October 2006

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-005-0004-x

zbMATH Keywords

Brownian bridgeempirical processquantile processKiefer processBahadur-Kiefer representation\(L^p\)-modulus of continuity for Brownian motion

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) (L^p)-limit theorems (60F25)

Related Items (2)

Bahadur-Kiefer representations for time dependent quantile processes ⋮ Strong invariance principles for sequential Bahadur-Kiefer and Vervaat error processes of long-range dependent sequences

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