Functional Chung laws for small increments of the empirical process and a lowerbound in the strong invariance principle

DOI10.1007/S10998-010-3067-2zbMath1240.60102OpenAlexW2070217421MaRDI QIDQ653805

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1007/s10998-010-3067-2

zbMATH Keywords

Brownian bridge strong invariance principle small deviation probabilities Chung and Strassen functional laws empirical and Poisson processes increment processes

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)

Cites Work

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