Asymptotics for the moment convergence of \(U\)-statistics in LIL

DOI10.1155/2010/350517zbMath1200.62011OpenAlexW2148914786WikidataQ59250270 ScholiaQ59250270MaRDI QIDQ962488

Ke Ang Fu

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223194

zbMATH Keywords

law of the iterated logarithmprecise asymptoticsmoment convergence rates

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)

Related Items (3)

Second moment convergence rates for uniform empirical processes ⋮ Precise asymptotics for complete moment convergence of \(U\)-statistics of i.i.d. random variables ⋮ A general law of complete moment convergence for self-normalized sums

Cites Work

• Precise asymptotics in the law of the iterated logarithm.
• Approximation Theorems of Mathematical Statistics
• A Class of Statistics with Asymptotically Normal Distribution
• The Theory of Unbiased Estimation
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