An improved result in almost sure central limit theorem for self-normalized products of partial sums

DOI10.1186/1029-242X-2013-129zbMath1284.60067WikidataQ59301733 ScholiaQ59301733MaRDI QIDQ2636679

Qunying Wu, Ping Yan Chen

Publication date: 31 January 2014

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

zbMATH Keywords

almost sure central limit theoremself-normalized partial sumsdomain of attraction of the normal law

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (8)

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 ⋮ Almost sure central limit theorem for self-normalized products of partial sums of negatively associated sequences ⋮ An extension of almost sure central limit theorem for the maximum of stationary Gaussian random fields ⋮ Bernstein-type inequality for widely dependent sequence and its application to nonparametric regression models ⋮ On complete convergence for weighted sums of \(\rho^*\)-mixing random variables ⋮ Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences

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