On the approximation of quantile processes by Kiefer processes

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DOI10.1023/A:1022668932637zbMath0930.62053MaRDI QIDQ1272499

Paul Deheuvels

Publication date: 10 February 2000

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

order statistics Wiener processes empirical processes law of the iterated logarithm quantile processes almost sure convergence strong laws strong approximations Kiefer processes strong invariance principles

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Strong approximation of quantile processes by iterated Kiefer processes. ⋮ Bahadur-Kiefer representations for time dependent quantile processes ⋮ On the Bernstein-von Mises theorem for the Dirichlet process

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