Generalization and refinement of the integro-local stone theorem for sums of random vectors

A. A. Borovkov

doi:10.1137/S0040585X97T988368

Generalization and refinement of the integro-local stone theorem for sums of random vectors

A. A. Borovkov

Кафедра теории вероятностей и математической статистики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

4 Цитирования (Scopus)

Аннотация

The integro-local Stone theorem on the asymptotics of the probability that a sum of random vectors enters a small cube is (a) refined under additional moment and structural conditions; (b) generalized to a case of nonidentically distributed summands in the triangular array scheme; (c) the results of item (b) are refined under additional moment and structural conditions.

Язык оригинала	английский
Страницы (с-по)	590-612
Число страниц	23
Журнал	Theory of Probability and its Applications
Том	61
Номер выпуска	4
DOI	https://doi.org/10.1137/S0040585X97T988368
Состояние	Опубликовано - 1 янв 2017

Доступ к документу

10.1137/S0040585X97T988368

Link to publication in Scopus

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Цитировать

Borovkov, A. A. (2017). Generalization and refinement of the integro-local stone theorem for sums of random vectors. Theory of Probability and its Applications, 61(4), 590-612. https://doi.org/10.1137/S0040585X97T988368

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