A note on the ASCLT for triangular arrays of random variables with an extension to U-statistics

DOI10.1007/S10114-012-9241-0zbMath1266.60058OpenAlexW87644257MaRDI QIDQ1943217

Yong Zhang, Xiao-Yun Yang

Publication date: 15 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9241-0

zbMATH Keywords

\(U\)-statisticsalmost sure central limit theoremtriangular arraysproducts of sums

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Cites Work

• Unnamed Item
• On almost sure max-limit theorems of complete and incomplete samples from stationary sequences
• Asymptotics for sums of a function of normalized independent sums
• A note on the almost sure central limit theorem for weakly dependent random variables
• Limit distributions for products of sums.
• Asymptotics for products of sums and \(U\)-statistics
• A note on asymptotic distribution of products of sums
• A note on the almost sure limit theorem for the product of partial sums
• Asymptotics for products of independent sums with an application to Wishart determinants
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• A Class of Statistics with Asymptotically Normal Distribution

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