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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1289–1298
DOI: https://doi.org/10.17377/semi.2017.14.109 (Mi semr868) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Probability theory and mathematical statistics

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

M. G. Chebunin

Novosibirsk State University, str. Pirogova, 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.109
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: infinite urn scheme; relative compactness; slow variation; functional central limit theorem.
Funding agency Grant number
Russian Science Foundation 17-11-01173
Received November 10, 2017, published December 1, 2017
Bibliographic databases:
Document Type: Article
UDC: 519.214.5
MSC: 60F17
Language: Russian
Citation: M. G. Chebunin, “Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails”, Sib. Èlektron. Mat. Izv., 14 (2017), 1289–1298
Citation in format AMSBIB
\Bibitem{Che17}
\by M.~G.~Chebunin
\paper Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1289--1298
\mathnet{http://mi.mathnet.ru/semr868}
\crossref{https://doi.org/10.17377/semi.2017.14.109}
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    • This publication is cited in the following 2 articles:
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