Empirical U-statistics processes

DOI10.1016/0378-3758(92)90051-SzbMath0754.62032OpenAlexW1992789810MaRDI QIDQ1200626

Martien C. A. Van Zuijlen, Frits H. Ruymgaart

Publication date: 16 January 1993

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(92)90051-s

zbMATH Keywords

inequalityweak convergence theoremlocal fluctuationsfluctuation of weighted \(U\)-statisticsmultidimensional timemultivariate empirical \(U\)-statistics processsharp exponential probability boundweighted process

Mathematics Subject Classification ID

Multivariate analysis (62H99) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Sample path properties (60G17)

Related Items (5)

A Bernstein-type inequality for \(U\)-statistics and \(U\)-processes ⋮ Incomplete generalized \(L\)-statistics ⋮ Weak convergence of weighted multivariate empirical U-statistics processes under mixing condition ⋮ Two-dimensional Kolmogorov-type goodness-of-fit tests based on characterisations and their asymptotic efficiencies ⋮ Weak convergence for rectangle-indexed weighted multivariate empirical \(U\)-statistic processes under mixing conditions

Cites Work

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• Processus Empiriques Multidimensionnels: Aperçu De Quelques Résultats Récents
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• Probability Inequalities for Sums of Bounded Random Variables
• GENERAL LINEAR PROCESSES:A PROPERTY OF THE EMPIRICAL PROCESS APPLIED TO DENSITY AND MODE ESTIMATION

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