U-statistics on associated random variables

DOI10.1016/S0378-3758(02)00418-4zbMath1032.60027MaRDI QIDQ1417790

Tasos C. Christofides

Publication date: 6 January 2004

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

zbMATH Keywords

U-statisticsassociated random variablesdemi-martingales

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Strong limit theorems (60F15)

Related Items

New maximal inequalities for reverse demimartingales and reverse demisubmartingales ⋮ On asymptotic behavior of \(U\)-statistics for associated random variables ⋮ Asymptotic normality of U-statistics based on i.i.d. or negatively associated observations by utilizing Zolotarev’s ideal metric ⋮ Some inequalities for demimartingales and \(N\)-demimartingales ⋮ Chow-type maximal inequality for conditional demimartingales and its applications ⋮ The law of the iterated logarithm for positively dependent random variables ⋮ On some maximal inequalities for demimartingales and \(N\)-demimartingales based on concave Young functions ⋮ Some results for demimartingales and \(N\)-demimartingales

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