Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




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

Teoriya Veroyatnostei i ee Primeneniya, 2021, Volume 66, Issue 4, Pages 806–838
DOI: https://doi.org/10.4213/tvp5513 (Mi tvp5513) 		 
Approximation of free convolutions by free infinitely divisible laws

G. P. Chistyakov, F. Götze

Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
Full-text PDF (574 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp5513
Abstract: Based on the method of subordinating functions we prove bounds for the minimal error of approximations of $n$-fold convolutions of probability measures by free infinitely divisible probability measures.
Keywords: free random variables, Cauchy transforms, free convolutions, limit theorems.
Funding agency Grant number
Deutsche Forschungsgemeinschaft CRC 1283
This work was supported by CRC 1283.
Received: 23.06.2021
Accepted: 23.06.2021
English version:
Theory of Probability and its Applications, 2022, Volume 66, Issue 4, Pages 640–667
DOI: https://doi.org/10.1137/S0040585X97T990666
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. P. Chistyakov, F. Götze, “Approximation of free convolutions by free infinitely divisible laws”, Teor. Veroyatnost. i Primenen., 66:4 (2021), 806–838; Theory Probab. Appl., 66:4 (2022), 640–667
Citation in format AMSBIB
\Bibitem{ChiGot21}
\by G.~P.~Chistyakov, F.~G\"otze
\paper Approximation of free convolutions by free infinitely divisible laws
\jour Teor. Veroyatnost. i Primenen.
\yr 2021
\vol 66
\issue 4
\pages 806--838
\mathnet{http://mi.mathnet.ru/tvp5513}
\crossref{https://doi.org/10.4213/tvp5513}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4331221}
\zmath{https://zbmath.org/?q=an:7481231}
\transl
\jour Theory Probab. Appl.
\yr 2022
\vol 66
\issue 4
\pages 640--667
\crossref{https://doi.org/10.1137/S0040585X97T990666}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129736485}
Linking options:
  • https://www.mathnet.ru/eng/tvp5513
  • https://doi.org/10.4213/tvp5513
  • https://www.mathnet.ru/eng/tvp/v66/i4/p806
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:130
    Full-text PDF :32
    References:23
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024