Loading [MathJax]/jax/output/SVG/config.js
Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2024, Issue 3, Pages 18–32
DOI: https://doi.org/10.26456/vtpmk714
(Mi vtpmk714)
 

Theory of Probability and Mathematical Statistics

On the behavior of extreme values in the case of Burr distribution

V. E. Bening

Lomonosov Moscow State University, Moscow
References:
Abstract: The paper considers the asymptotic behavior of the moments of extreme values of an organization subjected to risk in the case when the number of factors leading to loss is random. Burr distribution is considered as loss distribution. An asymptotic comparison of the activities of such organizations is carried out in terms of the necessary additional number of such factors (asymptotic deficiency). Two examples illustrating tne obtained results are presented. These examples concern truncated Poisson and binomial distributions.
Keywords: reserve of insurance company, sample of random size, Burr distribution, asymptotic expansions, truncated Poisson and binomial distributions, extreme order statistics, asymptotic deficiency.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
Received: 09.07.2024
Revised: 19.08.2024
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. E. Bening, “On the behavior of extreme values in the case of Burr distribution”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2024, no. 3, 18–32
Citation in format AMSBIB
\Bibitem{Ben24}
\by V.~E.~Bening
\paper On the behavior of extreme values in the case of Burr distribution
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2024
\issue 3
\pages 18--32
\mathnet{http://mi.mathnet.ru/vtpmk714}
\crossref{https://doi.org/10.26456/vtpmk714}
\elib{https://elibrary.ru/item.asp?id=73234343}
Linking options:
  • https://www.mathnet.ru/eng/vtpmk714
  • https://www.mathnet.ru/eng/vtpmk/y2024/i3/p18
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
    Statistics & downloads:
    Abstract page:97
    Full-text PDF :26
    References:21
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025