Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Vopr. Kriptogr.:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2020, Volume 11, Issue 1, Pages 27–46
DOI: https://doi.org/10.4213/mvk313 (Mi mvk313) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The roots of generating functions and sums of integer-valued random variables

A. M. Zubkova, G. I. Ivchenkob, Yu. I. Medvedevb

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Academy of Cryptography of the Russian Federation, Moscow
Full-text PDF (471 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mvk313
Abstract: Properties of roots of generating functions of integer-valued bounded random variables and properties of sums of independent random variables with values in sets $\{0, 1\}$ and $\{0, 1, 2\}$ are studied. Conditions of weak convergence of integer-valued bounded random variables to the Poisson and normal laws in terms of roots of generating functions are presented.
Key words: integer-valued random variables, roots of probability generating functions, sums of independent simplest random variables, limit theorems.
Received 29.IV.2019
Bibliographic databases:
Document Type: Article
UDC: 519.212.2 + 519.115
Language: Russian
Citation: A. M. Zubkov, G. I. Ivchenko, Yu. I. Medvedev, “The roots of generating functions and sums of integer-valued random variables”, Mat. Vopr. Kriptogr., 11:1 (2020), 27–46
Citation in format AMSBIB
\Bibitem{ZubIvcMed20}
\by A.~M.~Zubkov, G.~I.~Ivchenko, Yu.~I.~Medvedev
\paper The roots of generating functions and sums of integer-valued random variables
\jour Mat. Vopr. Kriptogr.
\yr 2020
\vol 11
\issue 1
\pages 27--46
\mathnet{http://mi.mathnet.ru/mvk313}
\crossref{https://doi.org/10.4213/mvk313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4127756}
Linking options:
  • https://www.mathnet.ru/eng/mvk313
  • https://doi.org/10.4213/mvk313
  • https://www.mathnet.ru/eng/mvk/v11/i1/p27
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
    Statistics & downloads:
    Abstract page:448
    Full-text PDF :369
    References:43
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024