A new large deviation inequality for U-statistics of order 2

DOI10.1051/ps:1999107zbMath0957.60031OpenAlexW2012653133MaRDI QIDQ4941309

Jean Bretagnolle

Publication date: 29 February 2000

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/104254

zbMATH Keywords

\(U\)-statisticsexponential inequalities

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items

Sharp deviation bounds for quadratic forms ⋮ Exponential inequalities for the supremum of some counting processes and their square martingales ⋮ Adaptive estimation of a quadratic functional of a density by model selection

Cites Work

• Limit theorems for \(U\)-processes
• Decoupling and Khintchine's inequalities for \(U\)-statistics
• Efficient estimation of integral functionals of a density
• Adaptive estimation of a quadratic functional by model selection.