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Teoriya Veroyatnostei i ee Primeneniya, 1973, Volume 18, Issue 1, Pages 211–212 (Mi tvp2709)  

This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

On estimation of the rate of convergence in a limit theorem with a stable limit law

K. I. Satybaldina

Moscow
Full-text PDF (145 kB) Citations (5)
Abstract: An estimate is given for the rate of convergence for the distributions of sums of i.i.d.r.v.'s to a stable law, modified pseudo-moments being used.
Received: 30.09.1972
English version:
Theory of Probability and its Applications, 1973, Volume 18, Issue 1, Pages 202–204
DOI: https://doi.org/10.1137/1118023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. I. Satybaldina, “On estimation of the rate of convergence in a limit theorem with a stable limit law”, Teor. Veroyatnost. i Primenen., 18:1 (1973), 211–212; Theory Probab. Appl., 18:1 (1973), 202–204
Citation in format AMSBIB
\Bibitem{Sat73}
\by K.~I.~Satybaldina
\paper On estimation of the rate of convergence in a~limit theorem with a~stable limit law
\jour Teor. Veroyatnost. i Primenen.
\yr 1973
\vol 18
\issue 1
\pages 211--212
\mathnet{http://mi.mathnet.ru/tvp2709}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=319241}
\zmath{https://zbmath.org/?q=an:0291.60015}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 18
\issue 1
\pages 202--204
\crossref{https://doi.org/10.1137/1118023}
Linking options:
  • https://www.mathnet.ru/eng/tvp2709
  • https://www.mathnet.ru/eng/tvp/v18/i1/p211
  • This publication is cited in the following 5 articles:
    1. I. Berkes, B. Borda, “Berry–Esseen Bounds and Diophantine Approximation”, Anal Math, 44:2 (2018), 149  crossref
    2. A. N. Chuprunov, “On refinement of Banach-valued limit theorems for stable laws”, Theory Probab. Appl., 39:4 (1994), 657–662  mathnet  mathnet  crossref  isi
    3. Arnold Janssen, David M. Mason, “On the rate of convergence of sums of extremes to a stable law”, Probab. Th. Rel. Fields, 86:2 (1990), 253  crossref
    4. Peter Hall, “Two-sided bounds on the rate of convergence to a stable law”, Z. Wahrscheinlichkeitstheorie verw Gebiete, 57:3 (1981), 349  crossref
    5. M.J. Goovaerts, P. Van Goethem, “On a Berry-Esseen theorem for compound Poisson processes”, Journal of Computational and Applied Mathematics, 4:2 (1978), 93  crossref
    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
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    Full-text PDF :74
     
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