Ufa Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Ufimsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Ufa Mathematical Journal, 2016, Volume 8, Issue 2, Pages 14–21
DOI: https://doi.org/10.13108/2016-8-2-14 (Mi ufa338) 		 
On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$

A. I. Afonina, I. R. Kayumov, A. N. Chuprunov

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University
English version PDF (345 kB)
References:
PDF
HTML
DOI: https://doi.org/10.13108/2016-8-2-14
Abstract: We consider $n$ identical generalized schemes of allocating particles in cells. We study the probability of the event: for each generalized allocation scheme, there are at most $r$ particles in each cell, where $r$ is a given number. We obtain an asymptotic estimate for this probability and we consider the application of the obtained results to an antinoise coding.
Keywords: generalized allocation scheme, Cauchy integral, Hamming code.
Received: 29.12.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 2, Pages 14–21
Bibliographic databases:
Document Type: Article
UDC: 519.216
MSC: 60K30
Language: English
Original paper language: Russian
Citation: A. I. Afonina, I. R. Kayumov, A. N. Chuprunov, “On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$”, Ufimsk. Mat. Zh., 8:2 (2016), 14–21; Ufa Math. J., 8:2 (2016), 14–21
Citation in format AMSBIB
\Bibitem{AfoKayChu16}
\by A.~I.~Afonina, I.~R.~Kayumov, A.~N.~Chuprunov
\paper On the probability of the event: in~$n$ generalized allocation schemes the volume of each cell does not exceed~$r$
\jour Ufimsk. Mat. Zh.
\yr 2016
\vol 8
\issue 2
\pages 14--21
\mathnet{http://mi.mathnet.ru/ufa338}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3530011}
\elib{https://elibrary.ru/item.asp?id=26255223}
\transl
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 2
\pages 14--21
\crossref{https://doi.org/10.13108/2016-8-2-14}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000411732200002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84994246398}
Linking options:
  • https://www.mathnet.ru/eng/ufa338
  • https://doi.org/10.13108/2016-8-2-14
  • https://www.mathnet.ru/eng/ufa/v8/i2/p14
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
    Statistics & downloads:
    Abstract page:349
    Russian version PDF:97
    English version PDF:11
    References:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024