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Teoriya Veroyatnostei i ee Primeneniya, 2012, Volume 57, Issue 3, Pages 499–532
DOI: https://doi.org/10.4213/tvp4463
(Mi tvp4463)
 

This article is cited in 9 scientific papers (total in 9 papers)

Moment estimates for the exactness of normal approximation with specified structure for sums of independent symmetrical random variables

I. G. Shevtsova

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (335 kB) Citations (9)
References:
Received: 14.03.2012
English version:
Theory of Probability and its Applications, 2013, Volume 57, Issue 3, Pages 468–496
DOI: https://doi.org/10.1137/S0040585X97986096
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. G. Shevtsova, “Moment estimates for the exactness of normal approximation with specified structure for sums of independent symmetrical random variables”, Teor. Veroyatnost. i Primenen., 57:3 (2012), 499–532; Theory Probab. Appl., 57:3 (2013), 468–496
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tvp4463
  • https://doi.org/10.4213/tvp4463
  • https://www.mathnet.ru/eng/tvp/v57/i3/p499
  • This publication is cited in the following 9 articles:
    1. S. V. Gavrilenko, V.Yu. Korolev, “On Approximations to the Ruin Probability for the Classical Risk Process”, J Math Sci, 267:1 (2022), 57  crossref
    2. Siripraparat T., Neammanee K., “An Improvement of Convergence Rate in the Local Limit Theorem For Integral-Valued Random Variables”, J. Inequal. Appl., 2021:1 (2021), 57  crossref  mathscinet  isi
    3. Mattner L. Shevtsova I., “An Optimal Berry-Esseen Type Theorem For Integrals of Smooth Functions”, ALEA-Latin Am. J. Probab. Math. Stat., 16:1 (2019), 487–530  crossref  mathscinet  isi
    4. Zolotukhin A. Nagaev S. Chebotarev V., “On a Bound of the Absolute Constant in the Berry-Esseen Inequality For i.i.D. Bernoulli Random Variables”, Mod. Stoch.-THeory Appl., 5:3 (2018), 385–410  crossref  mathscinet  zmath  isi  scopus
    5. L. Mattner, I. G. Shevtsova, “An optimal Berry-Esseen type inequality for expectations of smooth functions”, Dokl. Math., 95:3 (2017), 250–253  crossref  mathscinet  zmath  isi
    6. L. Mattner, I.G. Shevtsova, “OPTIMALNOE NERAVENSTVO TIPA BERRI-ESSEENA DLYa INTEGRALOV OT GLADKIKh FUNKTsII, “Doklady Akademii nauk””, Doklady Akademii Nauk, 2017, no. 5, 535  crossref
    7. I. G. Shevtsova, “On Convergence Rate in CLT for Smooth Distributions”, J Math Sci, 220:6 (2017), 742  crossref
    8. V. V. Senatov, “On Quasi-Nonuniform Estimates for Asymptotic Expansions in the Central Limit Theorem”, J Math Sci, 218:3 (2016), 335  crossref
    9. I. G. Shevtsova, “On the accuracy of the normal approximation to compound Poisson distributions”, Theory Probab. Appl., 58:1 (2014), 138–158  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    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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