Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails

Mikhail Georgievich Chebunin

doi:10.17377/semi.2017.14.109

Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails

Mikhail Georgievich Chebunin

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

2 Цитирования (Scopus)

Аннотация

We study a vector process of a number of urns with fixed quantities of balls in an infinite urn scheme.We assume that probabilities of entering an urn change regularly with exponent minus one. We prove a multidimensional functional central limit theorem for this process.

Язык оригинала	английский
Страницы (с-по)	1289-1298
Число страниц	10
Журнал	Сибирские электронные математические известия
Том	14
DOI	https://doi.org/10.17377/semi.2017.14.109
Состояние	Опубликовано - 2017

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

Доступ к документу

10.17377/semi.2017.14.109

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{8efde19fcf55487db5ff461f5efd4da3,

title = "Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails",

abstract = "We study a vector process of a number of urns with fixed quantities of balls in an infinite urn scheme.We assume that probabilities of entering an urn change regularly with exponent minus one. We prove a multidimensional functional central limit theorem for this process.",

keywords = "Functional central limit theorem, Infinite urn scheme, Relative compactness, Slow variation",

author = "Chebunin, {Mikhail Georgievich}",

year = "2017",

doi = "10.17377/semi.2017.14.109",

language = "English",

volume = "14",

pages = "1289--1298",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails. / Chebunin, Mikhail Georgievich.

В: Сибирские электронные математические известия, Том 14, 2017, стр. 1289-1298.

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

TY - JOUR

T1 - Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails

AU - Chebunin, Mikhail Georgievich

PY - 2017

Y1 - 2017

N2 - We study a vector process of a number of urns with fixed quantities of balls in an infinite urn scheme.We assume that probabilities of entering an urn change regularly with exponent minus one. We prove a multidimensional functional central limit theorem for this process.

AB - We study a vector process of a number of urns with fixed quantities of balls in an infinite urn scheme.We assume that probabilities of entering an urn change regularly with exponent minus one. We prove a multidimensional functional central limit theorem for this process.

KW - Functional central limit theorem

KW - Infinite urn scheme

KW - Relative compactness

KW - Slow variation

UR - http://www.scopus.com/inward/record.url?scp=85038421847&partnerID=8YFLogxK

U2 - 10.17377/semi.2017.14.109

DO - 10.17377/semi.2017.14.109

M3 - Article

AN - SCOPUS:85038421847

VL - 14

SP - 1289

EP - 1298

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -