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
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\by V.~Yu.~Korolev, I.~G.~Shevtsova
\paper A new moment estimate of the convergence rate in the Lyapunov theorem
\jour Teor. Veroyatnost. i Primenen.
\yr 2010
\vol 55
\issue 3
\pages 577--582
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\crossref{https://doi.org/10.4213/tvp4243}
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\transl
\jour Theory Probab. Appl.
\yr 2011
\vol 55
\issue 3
\pages 505--509
\crossref{https://doi.org/10.1137/S0040585X97985017}
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Linking options:
https://www.mathnet.ru/eng/tvp4243
https://doi.org/10.4213/tvp4243
https://www.mathnet.ru/eng/tvp/v55/i3/p577
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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
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
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Altug Yu., Wagner A.B., “Refinement of the Random Coding Bound”, IEEE Trans. Inf. Theory, 60:10 (2014), 6005–6023
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M. E. Grigoreva, S. V. Popov, “O neravnomernykh otsenkakh skorosti skhodimosti v tsentralnoi predelnoi teoreme”, Sistemy i sredstva inform., 22:1 (2012), 180–204
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
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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