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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1035–1045
DOI: https://doi.org/10.33048/semi.2021.18.079 (Mi semr1420) 		 
Probability theory and mathematical statistics

On the accuracy of the poissonisation in the infinite occupancy scheme

M. Chebuninab

a Karlsruhe Institute of Technology, Institute of Stochastics, Karlsruhe, 76131, Germany
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.079
Abstract: We obtain asymptotic accuracy of the poissonisation in the infinite occupancy scheme. Some of the results are obtained for integer-valued random variables having a regularly varying distribution.
Keywords: infinite urn/cell scheme, asymptotic upper bounds, poissonisation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1675
The work is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation.
Received September 1, 2021, published October 12, 2021
Bibliographic databases:
Document Type: Article
UDC: 519.214.5
MSC: 60F17
Language: English
Citation: M. Chebunin, “On the accuracy of the poissonisation in the infinite occupancy scheme”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1035–1045
Citation in format AMSBIB
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\by M.~Chebunin
\paper On the accuracy of the poissonisation in the infinite occupancy scheme
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1035--1045
\mathnet{http://mi.mathnet.ru/semr1420}
\crossref{https://doi.org/10.33048/semi.2021.18.079}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000714609800002}
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