On some asymptotic properties of \(U\) statistics and one-sided estimates

DOI10.1214/AOP/1176988479zbMath0836.60027OpenAlexW2041881678MaRDI QIDQ1904477

Ratan Dasgupta, Arup Bose

Publication date: 22 April 1996

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988479

zbMATH Keywords

order statisticsMarcinkiewicz-Zygmund strong law of large numbersalmost sure representation\(U\) statisticsone-sided estimates

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Martingales with discrete parameter (60G42) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

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