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This article is cited in 12 scientific papers (total in 12 papers)
Nonuniform estimates of convergence rate in the central limit theorem
Yu. S. Nefedova, I. G. Shevtsova
M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
DOI:
https://doi.org/10.4213/tvp4432
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Theory of Probability and its Applications, 2013, 57:1, 28–59
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Received: 11.03.2011
Citation:
Yu. S. Nefedova, I. G. Shevtsova, “Nonuniform estimates of convergence rate in the central limit theorem”, Teor. Veroyatnost. i Primenen., 57:1 (2012), 62–97; Theory Probab. Appl., 57:1 (2013), 28–59
Citation in format AMSBIB
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See also
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M. E. Grigor'eva, S. V. Popov, “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
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I. G. Shevtsova, “Ob absolyutnykh konstantakh v neravenstve Berri–Esseena i ego strukturnykh i neravnomernykh utochneniyakh”, Inform. i ee primen., 7:1 (2013), 124–125
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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
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I. G. Shevtsova, “On the absolute constants in the Berry-Esseen-type inequalities”, Dokl. Math., 89:3 (2014), 378–381
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A. Lauer, H. Zaehle, “Nonparametric estimation of risk measures of collective risks”, Statist. Risk Model., 32:2 (2015), 89–102
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S. G. Bobkov, “Proximity of probability distributions in terms of Fourier–Stieltjes transforms”, Russian Math. Surveys, 71:6 (2016), 1021–1079
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I. G. Shevtsova, “A moment inequality with application to convergence rate estimates in the global CLT for Poisson-binomial random sums”, Theory Probab. Appl., 62:2 (2018), 278–294
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V. Korolev, A. Dorofeeva, “Bounds of the accuracy of the normal approximation to the distributions of random sums under relaxed moment conditions?”, Lith. Math. J., 57:1 (2017), 38–58
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I. Shevtsova, “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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Pinelis I., “On the Nonuniform Berry-Esseen Bound”, Inequalities and Extremal Problems in Probability and Statistics: Selected Topics, ed. Pinelis I., Academic Press Ltd-Elsevier Science Ltd, 2017, 103–138
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S. G. Bobkov, “Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances”, Probab. Theory Relat. Field, 170:1-2 (2018), 229–262
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V. Yu. Korolev, A. V. Dorofeeva, “O neravnomernykh otsenkakh tochnosti normalnoi approksimatsii dlya raspredelenii nekotorykh sluchainykh summ pri oslablennykh momentnykh usloviyakh”, Inform. i ee primen., 12:4 (2018), 86–91
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