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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 4, Pages 773–775 (Mi tvp4355)  
This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

Absolute estimates of the rate of convergence to stable laws

K. I. Satybaldina

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (448 kB) Citations (10)
Abstract: In the paper, new absolute estimates of the remainder terms in limit theorems for sums of independent identically distributed random variables are obtained in the case when the limit distribution is stable. In these estimates, new characteristics are utilized which are generalizations of distributions moments.
Received: 20.07.1972
English version:
Theory of Probability and its Applications, 1973, Volume 17, Issue 4, Pages 726–728
DOI: https://doi.org/10.1137/1117091
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. I. Satybaldina, “Absolute estimates of the rate of convergence to stable laws”, Teor. Veroyatnost. i Primenen., 17:4 (1972), 773–775; Theory Probab. Appl., 17:4 (1973), 726–728
Citation in format AMSBIB
\Bibitem{Sat72}
\by K.~I.~Satybaldina
\paper Absolute estimates of the rate of convergence to stable laws
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 4
\pages 773--775
\mathnet{http://mi.mathnet.ru/tvp4355}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=310949}
\zmath{https://zbmath.org/?q=an:0279.60019}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 17
\issue 4
\pages 726--728
\crossref{https://doi.org/10.1137/1117091}
Linking options:
  • https://www.mathnet.ru/eng/tvp4355
  • https://www.mathnet.ru/eng/tvp/v17/i4/p773
    • This publication is cited in the following 10 articles:
    1. Ya. S. Golikova, A. Yu. Zaitsev, “O tochnosti bezgranichno delimoi approksimatsii n-kratnykh svertok veroyatnostnykh raspredelenii”, Veroyatnost i statistika. 33, Zap. nauchn. sem. POMI, 515, POMI, SPb., 2022, 83–90  mathnet
    2. James R. Cruise, Andrew R. Wade, “The critical greedy server on the integers is recurrent”, Ann. Appl. Probab., 29:2 (2019)  crossref
    3. I. Berkes, B. Borda, “Berry–Esseen Bounds and Diophantine Approximation”, Anal Math, 44:2 (2018), 149  crossref
    4. Tucker McElroy, Dimitris N. Politis, “Moment-based tail index estimation”, Journal of Statistical Planning and Inference, 137:4 (2007), 1389  crossref
    5. 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
    6. Peter Hall, “Two-sided bounds on the rate of convergence to a stable law”, Z. Wahrscheinlichkeitstheorie verw Gebiete, 57:3 (1981), 349  crossref
    7. Peter Hall, “On the rate of convergence in the central limit theorem for distributions with regularly varying tails”, Z. Wahrscheinlichkeitstheorie verw Gebiete, 49:1 (1979), 1  crossref
    8. 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
    9. P.L. Butzer, L. Hahn, “General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbers”, Journal of Multivariate Analysis, 8:2 (1978), 202  crossref
    10. K. I. Satybaldina, “On estimation of the rate of convergence in a limit theorem with a stable limit law”, Theory Probab. Appl., 18:1 (1973), 202–204  mathnet  mathnet  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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