On the almost sure (a.s.) central limit theorem for random variables with infinite variance

DOI10.1007/BF02213575zbMath0804.60021MaRDI QIDQ1332409

István Berkes, Herold G. Dehling

Publication date: 19 January 1995

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

central limit theoremrandom variables with infinite varianceweak central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (12)

The law of large numbers with exceptional sets ⋮ A universal result in almost sure central limit theory. ⋮ On the almost sure central limit theorem and domains of attraction ⋮ An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws ⋮ Limit theorems for linear processes generated by ρ-mixing sequence ⋮ On the pointwise central limit theorem and mixtures of stable distributions ⋮ An almost sure central limit theorem for self-normalized partial sums ⋮ On almost sure max-limit theorems ⋮ On strong versions of the central limit theorem. ⋮ Almost sure central limit theorems for functionals of absolutely regular processes with application to \(U\)-statistics ⋮ An almost sure central limit theorem for self-normalized partial sums of weakly dependent random variables ⋮ On the large deviation principle for the almost sure CLT.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on the almost sure central limit theorem
• Some limit theorems in log density
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Convergence of moments and related functional in the general central limit theorem in banach spaces
• On the concentration function of a sum of independent random variables

This page was built for publication: On the almost sure (a.s.) central limit theorem for random variables with infinite variance