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Prikladnaya diskretnaya matematika Prilozhenie
Article . 2013
Data sources: CyberLeninka - Russian open access scientific library
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Оценка скорости сходимости в многомерной центральной предельной теореме

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 Russian Publisher:Федеральное государственное бюджетное образовательное учреждение высшего профессионального образования «Национальный исследовательский Томский государственный университет»Journal:Прикладная дискретная математика. Приложение (issn: 2226-308X, eissn: 2411-2313, Copyright policy )

Оценка скорости сходимости в многомерной центральной предельной теореме

Abstract

Известна оценка скорости многомерной нормальной аппроксимации для сумм локально зависимых случайных векторов, которая неявным образом зависит от размерности суммируемых векторов. Приводится явный вид зависимости оценки от размерности.

An improvement is offered for the estimate of the convergence rate in the multidimensional central limit theorem. The value of the offered estimate obviously depends on the dimension of the random vectors.

Keywords

МНОГОМЕРНАЯ ЦЕНТРАЛЬНАЯ ПРЕДЕЛЬНАЯ ТЕОРЕМА, СКОРОСТЬ СХОДИМОСТИ, ЛОКАЛЬНО ЗАВИСИМЫЕ СЛУЧАЙНЫЕ ВЕКТОРЫ

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selected citations
These citations are derived from selected sources.
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!
0
Average
Average
Average
gold