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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2021 Volume 18, Issue 2, Pages 1035–1045 (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

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.

UDC: 519.214.5

MSC: 60F17

Received September 1, 2021, published October 12, 2021

Language: English

DOI: 10.33048/semi.2021.18.079



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© Steklov Math. Inst. of RAS, 2025