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Teor. Veroyatnost. i Primenen., 2009, Volume 54, Issue 4, Pages 671–695 (Mi tvp3534)  

This article is cited in 28 scientific papers (total in 28 papers)

An upper estimate for the absolute constant in the Berry–Esseen inequality

V. Yu. Korolev, I. G. Shevtsova

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics


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English version:
Theory of Probability and its Applications, 2010, 54:4, 638–658

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Received: 14.09.2009
Revised: 20.10.2009

Citation: V. Yu. Korolev, I. G. Shevtsova, “An upper estimate for the absolute constant in the Berry–Esseen inequality”, Teor. Veroyatnost. i Primenen., 54:4 (2009), 671–695; Theory Probab. Appl., 54:4 (2010), 638–658

Citation in format AMSBIB
\by V.~Yu.~Korolev, I.~G.~Shevtsova
\paper An upper estimate for the absolute constant in the Berry--Esseen inequality
\jour Teor. Veroyatnost. i Primenen.
\yr 2009
\vol 54
\issue 4
\pages 671--695
\jour Theory Probab. Appl.
\yr 2010
\vol 54
\issue 4
\pages 638--658

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    2. V. Yu. Korolev, I. G. Shevtsova, “A new moment estimate of the convergence rate in the Lyapunov theorem”, Theory Probab. Appl., 55:3 (2011), 505–509  mathnet  crossref  crossref  mathscinet  isi
    3. M. E. Grigoreva, I. G. Shevtsova, “Utochnenie neravenstva Katsa–Berri–Esseena”, Inform. i ee primen., 4:2 (2010), 75–82  mathnet
    4. Nagaev S.V., Chebotarev V.I., “On the bound of proximity of the binomial distribution to the normal one”, Dokl. Math., 83:1 (2011), 19–21  crossref  mathscinet  zmath  isi  elib  elib  scopus
    5. S. V. Nagaev, V. I. Chebotarev, “On estimation of closeness of binomial and normal distributions”, Theory Probab. Appl., 56:2 (2011), 213–239  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    6. I. S. Tyurin, “An improvement of the residual in the Lyapunov theorem”, Theory Probab. Appl., 56:4 (2011), 693–696  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    7. Arkhangelskii A.N., “O nizhnikh otsenkakh veroyatnostei uklonenii dlya summ sluchainykh velichin Bernulli”, Vestn. Mosk. un-ta. Ser. 15. Vychislitelnaya matematika i kibernetika, 2011, no. 1, 32–39  mathscinet  elib
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    16. I. G. Shevtsova, “On the absolute constants in the Berry-Esseen-type inequalities”, Dokl. Math., 89:3 (2014), 378–381  crossref  crossref  mathscinet  zmath  isi  elib  scopus
    17. Zhao Sh., Zhang L., Zhou Yu., Liu N., “Signal Fusion-Based Algorithms To Discriminate Between Radar Targets and Deception Jamming in Distributed Multiple-Radar Architectures”, IEEE Sens. J., 15:11 (2015), 6697–6706  crossref  isi  scopus
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    20. Kalantari K., Kosut O., Sankar L., “On the Fine Asymptotics of Information Theoretic Privacy”, 2016 54Th Annual Allerton Conference on Communication, Control, and Computing (Allerton), Annual Allerton Conference on Communication Control and Computing, IEEE, 2016, 532–539  isi
    21. Kaur E., Wilde M.M., “Upper Bounds on Secret-Key Agreement Over Lossy Thermal Bosonic Channels”, Phys. Rev. A, 96:6 (2017), 062318  crossref  isi  scopus
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    25. Mangia M., Pareschi F., Rovatti R., Setti G., “Low-Cost Security of Iot Sensor Nodes With Rakeness-Based Compressed Sensing: Statistical and Known-Plaintext Attacks”, IEEE Trans. Inf. Forensic Secur., 13:2 (2018), 327–340  crossref  isi  scopus
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  • Теория вероятностей и ее применения Theory of Probability and its Applications
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