Weak and almost sure convergence for products of sums of associated random variables

DOI10.5402/2012/107096zbMath1267.60024OpenAlexW2041082920WikidataQ58689746 ScholiaQ58689746MaRDI QIDQ1952663

Iwona Stȩpień, Przemysław Matuła

Publication date: 3 June 2013

Published in: ISRN Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/107096

zbMATH Keywords

weak convergenceassociated random variablesproduct of sums of stationary sequences

Mathematics Subject Classification ID

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

Related Items (1)

The almost sure local central limit theorem for products of partial sums under negative association

Cites Work

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• An invariance principle for certain dependent sequences
• The asymptotic distribution of sums of records
• Central limit theorem for linear processes
• Hájek-Rényi-type inequality for associated sequences
• Asymptotics for products of sums and \(U\)-statistics
• On almost sure limit theorems for positively dependent random variables
• An almost sure central limit theorem for products of sums under association
• A note on the almost sure limit theorem for the product of partial sums
• Some Concepts of Dependence
• Association of Random Variables, with Applications

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