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Teoriya Veroyatnostei i ee Primeneniya, 2010, Volume 55, Issue 3, Pages 577–582
DOI: https://doi.org/10.4213/tvp4243
(Mi tvp4243)
 

This article is cited in 13 scientific papers (total in 13 papers)

Short Communications

A new moment estimate of the convergence rate in the Lyapunov theorem

V. Yu. Korolev, I. G. Shevtsova

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
References:
Received: 01.06.2010
English version:
Theory of Probability and its Applications, 2011, Volume 55, Issue 3, Pages 505–509
DOI: https://doi.org/10.1137/S0040585X97985017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. Yu. Korolev, I. G. Shevtsova, “A new moment estimate of the convergence rate in the Lyapunov theorem”, Teor. Veroyatnost. i Primenen., 55:3 (2010), 577–582; Theory Probab. Appl., 55:3 (2011), 505–509
Citation in format AMSBIB
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\pages 577--582
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\crossref{https://doi.org/10.4213/tvp4243}
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\transl
\jour Theory Probab. Appl.
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\vol 55
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\pages 505--509
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  • https://www.mathnet.ru/eng/tvp4243
  • https://doi.org/10.4213/tvp4243
  • https://www.mathnet.ru/eng/tvp/v55/i3/p577
  • This publication is cited in the following 13 articles:
    1. Altug Yu. Wagner A.B., “On Exact Asymptotics of the Error Probability in Channel Coding: Symmetric Channels”, IEEE Trans. Inf. Theory, 67:2 (2021), 844–868  crossref  mathscinet  isi
    2. Wagner A.B., Shende N.V., Altug Yu., “A New Method For Employing Feedback to Improve Coding Performance”, IEEE Trans. Inf. Theory, 66:11 (2020), 6660–6681  crossref  mathscinet  isi
    3. 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  isi
    4. Shevtsova I., “On the Absolute Constants in Nagaev-Bikelis-Type Inequalities”, Inequalities and Extremal Problems in Probability and Statistics: Selected Topics, ed. Pinelis I., Academic Press Ltd-Elsevier Science Ltd, 2017, 47–102  crossref  mathscinet  isi
    5. I. Shevtsova, “On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications”, J. Math. Anal. Appl., 418:1 (2014), 185–210  crossref  mathscinet  zmath  isi  elib  scopus
    6. Yu. Altuğ, A. B. Wagner, “Refinement of the sphere-packing bound: asymmetric channels”, IEEE Trans. Inform. Theory, 60:3 (2014), 1592–1614  crossref  mathscinet  zmath  isi  scopus
    7. Altug Yu., Wagner A.B., “Feedback Can Improve the Second-Order Coding Performance in Discrete Memoryless Channels”, 2014 IEEE International Symposium on Information Theory (Isit), IEEE International Symposium on Information Theory, IEEE, 2014, 2361–2365  isi
    8. Altug Yu., Wagner A.B., “Refinement of the Random Coding Bound”, IEEE Trans. Inf. Theory, 60:10 (2014), 6005–6023  crossref  mathscinet  zmath  isi  scopus
    9. Yucel Altug, Aaron B. Wagner, 2014 IEEE International Symposium on Information Theory, 2014, 2361  crossref
    10. M. E. Grigoreva, S. V. Popov, “O neravnomernykh otsenkakh skorosti skhodimosti v tsentralnoi predelnoi teoreme”, Sistemy i sredstva inform., 22:1 (2012), 180–204  mathnet
    11. I. G. Shevtsova, “Moment estimates for the exactness of normal approximation with specified structure for sums of independent symmetrical random variables”, Theory Probab. Appl., 57:3 (2013), 468–496  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    12. Grigor'eva M.E., Popov S.V., “An upper bound for the absolute constant in the nonuniform version of the Berry-Esseen inequalities for nonidentically distributed summands”, Dokl. Math., 86:1 (2012), 524–526  crossref  mathscinet  zmath  isi  elib  scopus
    13. Sunklodas J.K., “Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables”, Lith. Math. J., 52:3 (2012), 326–333  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    Теория вероятностей и ее применения Theory of Probability and its Applications
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