An improved result in almost sure central limit theory for products of partial sums with stable distribution

DOI10.1007/s11401-012-0742-zzbMath1260.60064OpenAlexW2165090631MaRDI QIDQ1938731

Qunying Wu

Publication date: 22 February 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0742-z

zbMATH Keywords

almost sure central limit theoremstable distributionproduct of partial sums

Mathematics Subject Classification ID

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

Related Items

The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences ⋮ A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences ⋮ Almost sure central limit theorem for self-normalized partial sums and maxima ⋮ A generalization of almost sure local limit theorem of uniform empirical process ⋮ An extension of almost sure central limit theorem for the maximum of stationary Gaussian random fields ⋮ Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences ⋮ A general result of the almost sure central limit theorem of uniform empirical process

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