A nonstandard uniform functional law of the logarithm for the increments of the multivariate empirical process

DOI10.1016/j.crma.2006.05.024zbMath1115.60040OpenAlexW2091805454MaRDI QIDQ857074

Davit Varron

Publication date: 14 December 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.05.024

Mathematics Subject Classification ID

Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Cites Work

• Functional laws of the iterated logarithm for the increments of empirical and quantile processes
• A uniform functional law of the logarithm for the local empirical process.
• Large deviations for processes with independent increments