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
\Bibitem{She12}
\by I.~G.~Shevtsova
\paper Moment estimates for the exactness of normal approximation with specified structure for sums of independent symmetrical random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 2012
\vol 57
\issue 3
\pages 499--532
\mathnet{http://mi.mathnet.ru/tvp4463}
\crossref{https://doi.org/10.4213/tvp4463}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3196782}
\elib{https://elibrary.ru/item.asp?id=20732971}
\transl
\jour Theory Probab. Appl.
\yr 2013
\vol 57
\issue 3
\pages 468--496
\crossref{https://doi.org/10.1137/S0040585X97986096}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000324172100007}
\elib{https://elibrary.ru/item.asp?id=20456940}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884507407}
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:
S. V. Gavrilenko, V.Yu. Korolev, “On Approximations to the Ruin Probability for the Classical Risk Process”, J Math Sci, 267:1 (2022), 57
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
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
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
L. Mattner, I. G. Shevtsova, “An optimal Berry-Esseen type inequality for expectations of smooth functions”, Dokl. Math., 95:3 (2017), 250–253
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
I. G. Shevtsova, “On Convergence Rate in CLT for Smooth Distributions”, J Math Sci, 220:6 (2017), 742
V. V. Senatov, “On Quasi-Nonuniform Estimates for Asymptotic Expansions in the Central Limit Theorem”, J Math Sci, 218:3 (2016), 335
I. G. Shevtsova, “On the accuracy of the normal approximation to compound Poisson distributions”, Theory Probab. Appl., 58:1 (2014), 138–158