On limiting distribution of U-statistics based on associated random variables

DOI10.1016/j.spl.2017.08.016zbMath1380.60033arXiv1411.3083OpenAlexW2964037323MaRDI QIDQ1686358

Mansi Garg, Isha Dewan

Publication date: 22 December 2017

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3083

zbMATH Keywords

central limit theoremkurtosisskewness\(U\)-statisticsassociated random variables

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)

Related Items (1)

Asymptotic normality of U-statistics based on i.i.d. or negatively associated observations by utilizing Zolotarev’s ideal metric

Cites Work

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• Deriving the asymptotic distribution of \(U\)- and \(V\)-statistics of dependent data using weighted empirical processes
• Weak convergence for weighted empirical processes of dependent sequences
• On asymptotic behavior of \(U\)-statistics for associated random variables
• Corrigendum to ``Central limit theorem for U-statistics of associated random variables
• Normal fluctuations and the FKG inequalities
• A connection between supermodular ordering and positive/negative association.
• Central limit theorem for U-statistics of associated random variables
• Continuous mapping approach to the asymptotics of \(U\)- and \(V\)-statistics
• Asymptotics for Associated Random Variables
• Association of Random Variables, with Applications
• Asymptotic normality for \(U\)-statistics of associated random variables

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