Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 7, Pages 94–100 (Mi ivm9263)  
This article is cited in 1 scientific paper (total in 1 paper)

On maximal quantity of particles of one color in analogs of multicolor urn schemes

A. N. Chuprunov, G. Alsaied, M. Alkhuzani

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (170 kB) Citations (1)
References:
PDF
HTML
Abstract: We deal with analogs of multicolor urn schemes such that the number of particles is not more than a given number. We introduce conditions which provide the convergence of random variables which is the maximal number of taken particles of a same color to a random variable that has values zero and one. We prove this convergence in the case when a number of taken particles is not more than a fixed number and number of colors converges to infinity. We also consder the case when the number of taken particles converges to infinity.
Keywords: allocation of particles to cells, urn scheme, Pousson random variable, binomial random variable, limit theorem.
Received: 02.03.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 7, Pages 83–88
DOI: https://doi.org/10.3103/S1066369X17070118
Bibliographic databases:
Document Type: Article
UDC: 519.212
Language: Russian
Citation: A. N. Chuprunov, G. Alsaied, M. Alkhuzani, “On maximal quantity of particles of one color in analogs of multicolor urn schemes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 7, 94–100; Russian Math. (Iz. VUZ), 61:7 (2017), 83–88
Citation in format AMSBIB
\Bibitem{ChuAlsAlk17}
\by A.~N.~Chuprunov, G.~Alsaied, M.~Alkhuzani
\paper On maximal quantity of particles of one color in analogs of multicolor urn schemes
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 7
\pages 94--100
\mathnet{http://mi.mathnet.ru/ivm9263}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 7
\pages 83--88
\crossref{https://doi.org/10.3103/S1066369X17070118}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000408852900011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019640483}
Linking options:
  • https://www.mathnet.ru/eng/ivm9263
  • https://www.mathnet.ru/eng/ivm/y2017/i7/p94
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024