Almost sure central limit theorem for self-normalized products of the some partial sums of \(\rho^-\)-mixing sequences

DOI10.1186/S13660-018-1835-3zbMath1498.60125OpenAlexW2890747618WikidataQ58739921 ScholiaQ58739921MaRDI QIDQ824777

Wei Liu, Xi-li Tan

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1835-3

zbMATH Keywords

central limit theoremself-normalized\(\rho^-\)-mixing sequenceproducts of some partial sums

Mathematics Subject Classification ID

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

Related Items (3)

An improved result in almost sure local central limit theorem for the partial sums ⋮ Almost sure local central limit theorem for the product of some partial sums with optimized weight ⋮ Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences

Cites Work

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• Central limit theorem and almost sure central limit theorem for the product of some partial sums
• A note on the almost sure central limit theorem for weakly dependent random variables
• Convergence rates in the strong laws of asymptotically negatively associated random fields
• Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Central limit theorems for asymptotically negatively associated random fields

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