Asymptotics for the Moment Convergence of U-Statistics in LIL. (2nd February 2010)

• Record Type: Journal Article
• Authors: Fu, Ke-Ang
• Other Names: Volodin Andrei Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2010(2010)
• Publication Date: 2010-02-02
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2010/350517
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : LetU n be aU -statistic based on a symmetric kernelh ( x, y ) and i.i.d. samples{ X, X n ; n ≥ 1 } . In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm ofU n are obtained, which extend previous results concerning partial sums.