A note on the almost sure central limit theorem for the product of some partial sums

DOI10.1186/1029-242X-2014-243zbMath1321.60055WikidataQ59323566 ScholiaQ59323566MaRDI QIDQ2258641

Yang Chen, Zhongquan Tan, Kai Yong Wang

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

partial sumsalmost sure central limit theoremunbounded measurable functions

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Almost sure central limit theorem for product of partial sums of strongly mixing random variables
• Almost sure central limit theorems for random functions
• Central limit theorem and almost sure central limit theorem for the product of some partial sums
• On the convergence of generalized moments in almost sure central limit theorem
• Almost sure central limit theorems under minimal conditions
• 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
• The law of the iterated logarithm for identically distributed random variables
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• CONVERGENCE RATES FOR THE CENTRAL LIMIT THEOREM

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