An almost sure central limit theorem for self-normalized weighted sums

DOI10.1007/s10255-010-8247-6zbMath1263.60026OpenAlexW1995630286MaRDI QIDQ1945967

Yong Zhang, Xiao-Yun Yang

Publication date: 17 April 2013

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

Full work available at URL: https://doi.org/10.1007/s10255-010-8247-6

zbMATH Keywords

almost sure central limit theoremdomain of attraction of the normal lawself-normalized weighted sums

Mathematics Subject Classification ID

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

Related Items (5)

Self-normalized limit theorems for linear processes generated by \(\rho\)-mixing innovations ⋮ Limit theorems for linear processes generated by ρ-mixing sequence ⋮ Further research on limit theorems for self-normalized sums ⋮ A general result on almost sure central limit theorem for self-normalized sums for mixing sequences ⋮ An almost sure central limit theorem for the stochastic heat equation

Cites Work

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• The Berry-Esseen bound for Student's statistic
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• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Asymptotics for Self-Normalized Random Products of Sums for Mixing Sequences
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