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Stein’s method for nonconventional sums

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2018Embargo end date: 01 Jan 2017Publisher:Institute of Mathematical StatisticsJournal:Electronic Communications in Probability, volume 23 (issn: 1083-589X, Copyright policy )Funded by:FCT | D4
Authors: Hafouta, Yeor;

doi: 10.1214/18-ecp142 , 10.48550/arxiv.1704.01094

arXiv: http://arxiv.org/abs/1704.01094

Stein’s method for nonconventional sums

Abstract

We obtain almost optimal convergence rate in the central limit theorem for "nonconevntional" sums of the form $S_N=N^{-\frac12}\sum_{n=1}^N (F(��_n,��_{2n},...,��_{\ell n})-\bar F)$.

12 pages

Related Organizations
Keywords

nonconventional setup, 60F05, Probability (math.PR), central limit theorem, Berry–Esseen theorem, FOS: Mathematics, mixing, Stein’s method, Mathematics - Probability

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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