Exponential inequalities for the distributions of canonical multiple partial sum processes

I. S. Borisov; A. A. Bystrov

doi:10.1137/S0040585X97T98943X

Exponential inequalities for the distributions of canonical multiple partial sum processes

I. S. Borisov, A. A. Bystrov

Кафедра теории вероятностей и математической статистики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

Exponential inequalities are obtained for the distribution tail of the sup-norm of a multiple partial sum process with canonical bounded kernel based on independent and weakly dependent observations. The exponent obtained has the correct order.

Язык оригинала	английский
Страницы (с-по)	171-185
Число страниц	15
Журнал	Theory of Probability and its Applications
Том	64
Номер выпуска	2
DOI	https://doi.org/10.1137/S0040585X97T98943X
Состояние	Опубликовано - 1 янв. 2019

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10.1137/S0040585X97T98943X

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abstract = "Exponential inequalities are obtained for the distribution tail of the sup-norm of a multiple partial sum process with canonical bounded kernel based on independent and weakly dependent observations. The exponent obtained has the correct order.",

keywords = "Canonical U-andV-statistics, Exponential inequalities, Multiple orthogonal series",

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Exponential inequalities for the distributions of canonical multiple partial sum processes. / Borisov, I. S.; Bystrov, A. A.

В: Theory of Probability and its Applications, Том 64, № 2, 01.01.2019, стр. 171-185.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Bystrov, A. A.

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N2 - Exponential inequalities are obtained for the distribution tail of the sup-norm of a multiple partial sum process with canonical bounded kernel based on independent and weakly dependent observations. The exponent obtained has the correct order.

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KW - Canonical U-andV-statistics

KW - Exponential inequalities

KW - Multiple orthogonal series

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