Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2022, Volume 510, Pages 225–247 (Mi znsl7204)  
Convex hulls of random vectors with regularly varying distribution

E. N. Simarova

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (278 kB)
References:
PDF
HTML
Abstract: We express the property of a random vector to have a regularly varying distribution in terms of the weak convergence of the convex hull of its normalized independent copies to the convex hull of the Poisson point process.
Key words and phrases: convex hull, vague convergence, regularly varying distribution, Poisson point process, weak convergence, random measure, extreme values.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-12004_ННИО_а
Gazprom Neft
Received: 16.09.2022
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: E. N. Simarova, “Convex hulls of random vectors with regularly varying distribution”, Probability and statistics. Part 32, Zap. Nauchn. Sem. POMI, 510, POMI, St. Petersburg, 2022, 225–247
Citation in format AMSBIB
\Bibitem{Sim22}
\by E.~N.~Simarova
\paper Convex hulls of random vectors with regularly varying distribution
\inbook Probability and statistics. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 510
\pages 225--247
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7204}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4503199}
Linking options:
  • https://www.mathnet.ru/eng/znsl7204
  • https://www.mathnet.ru/eng/znsl/v510/p225
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:52
    Full-text PDF :16
    References:17
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024