Informatika i Ee Primeneniya [Informatics and its Applications]
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


Inform. Primen.:
Year:
Volume:
Issue:
Page:
Find




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

Informatika i Ee Primeneniya [Informatics and its Applications], 2013, Volume 7, Issue 1, Pages 124–125 (Mi ia252)  
This article is cited in 21 scientific papers (total in 21 papers)

On the absolute constants in the Berry–Esseen inequality and its structural and nonuniform improvements

I. G. Shevtsovaab

a Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, M. V. Lomonosov Moscow State University
b IPI RAN
Full-text PDF (149 kB) Citations (21)
References:
PDF
HTML
Abstract: New improved upper bounds are presented for the absolute constants in the Berry–Esseen inequality and its structural and nonuniform improvements. In particular, it is shown that the absolute constant in the classical Berry–Esseen inequality does not exceed 0.5583 in general case and 0.4690 for the case of identically distributed summands. The corresponding bounds in the Nagaev–Bikelis inequality are 21.82 and 17.36.
Keywords: central limit theorem; convergence rate estimate; normal approximation; Berry–Esseen inequality; Nagaev–Bikelis inequality; absolute constant.
Document Type: Article
Language: Russian
Citation: I. G. Shevtsova, “On the absolute constants in the Berry–Esseen inequality and its structural and nonuniform improvements”, Inform. Primen., 7:1 (2013), 124–125
Citation in format AMSBIB
\Bibitem{She13}
\by I.~G.~Shevtsova
\paper On the absolute constants in~the~Berry--Esseen inequality and~its~structural and~nonuniform improvements
\jour Inform. Primen.
\yr 2013
\vol 7
\issue 1
\pages 124--125
\mathnet{http://mi.mathnet.ru/ia252}
Linking options:
  • https://www.mathnet.ru/eng/ia252
  • https://www.mathnet.ru/eng/ia/v7/i1/p124
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Информатика и её применения
    Statistics & downloads:
    Abstract page:1367
    Full-text PDF :549
    References:113
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024