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

Журнал Theory of Probability and its Applications
ISSN: 0040-585X , E-ISSN: 1095-7219
Вых. Данные Год: 2017, Том: 61, Номер: 4, Страницы: 590-612 Страниц : 23 DOI: 10.1137/S0040585X97T988368
Ключевые слова Bound for the remainder term; Integro-local stone theorem; Sums of random vectors; Triangular array scheme
Авторы Borovkov A.A. 1,2
Организации
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Реферат: 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.
Библиографическая ссылка: Borovkov A.A.
Generalization and refinement of the integro-local stone theorem for sums of random vectors
Theory of Probability and its Applications. 2017. V.61. N4. P.590-612. DOI: 10.1137/S0040585X97T988368 WOS Scopus OpenAlex
Идентификаторы БД:
Web of science: WOS:000418655700004
Scopus: 2-s2.0-85007595883
OpenAlex: W2778013189
Цитирование в БД:
БД Цитирований
Scopus 9
OpenAlex 11
Web of science 7
Альметрики: