V. I. Rotar', “Nonclassical estimates of the rate of convergence in the multidimensional central limit theorem. I”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 774–790; Theory Probab. Appl., 22:4 (1978), 755

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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 4, Pages 774–790 (Mi tvp3626)

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

Nonclassical estimates of the rate of convergence in the multidimensional central limit theorem. I

V. I. Rotar'

Moscow

Full-text PDF (2226 kB) Citations (13)

Received: 01.04.1976

English version:
Theory of Probability and its Applications, 1978, Volume 22, Issue 4, Pages 755–772
DOI: https://doi.org/10.1137/1122088

Bibliographic databases:

Language: Russian

Citation: V. I. Rotar', “Nonclassical estimates of the rate of convergence in the multidimensional central limit theorem. I”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 774–790; Theory Probab. Appl., 22:4 (1978), 755–772

Citation in format AMSBIB

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\by V.~I.~Rotar'

\paper Nonclassical estimates of the rate of convergence in the multidimensional central limit theorem.~I

\jour Teor. Veroyatnost. i Primenen.

\yr 1977

\vol 22

\issue 4

\pages 774--790

\mathnet{http://mi.mathnet.ru/tvp3626}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471033}

\zmath{https://zbmath.org/?q=an:0391.60026}

\transl

\jour Theory Probab. Appl.

\yr 1978

\vol 22

\issue 4

\pages 755--772

\crossref{https://doi.org/10.1137/1122088}

Linking options:

https://www.mathnet.ru/eng/tvp3626

https://www.mathnet.ru/eng/tvp/v22/i4/p774

Cycle of papers

Nonclassical estimates of the rate of convergence in the multidimensional central limit theorem. I
V. I. Rotar'
Teor. Veroyatnost. i Primenen., 1977, 22:4, 774–790
Non-classical estimates of the convergence rate in the multidimensional central limit theorem. II
V. I. Rotar'
Teor. Veroyatnost. i Primenen., 1978, 23:1, 55–66

This publication is cited in the following 13 articles:

N. G. Gamkrelidze, “Issledovaniya po reshetchatym raspredeleniyam teorii veroyatnostei”, Issledovaniya po reshetchatym raspredeleniyam teorii veroyatnostei, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 218, VINITI RAN, M., 2022, 3–66
Zhilova M., “Nonclassical Berry-Esseen Inequalities and Accuracy of the Bootstrap”, Ann. Stat., 48:4 (2020), 1922–1939
L. S. Yaroslavtseva, “Nonclassical Error Bounds for Asymptotic Expansions in the Central Limit Theorem”, Theory Probab. Appl., 53:2 (2009), 365–367
Peter Hall, J.C.H Wightwick, “Two-sided bounds and leading term for rates of convergence in the multivariate central limit theorem”, Journal of Multivariate Analysis, 19:2 (1986), 225
L. V. Kiryanova, V. I. Rotar, “A lemma on «corrected» distributions”, Theory Probab. Appl., 31:4 (1987), 708–712
Z. Rychlik, “Nonuniform central limit bounds with applications to probabilities of deviations”, Theory Probab. Appl., 28:4 (1984), 681–687
M. U. Gafurov, V. I. Rotar', “On the exit of random walk out of the curvilinear domain”, Theory Probab. Appl., 28:1 (1984), 179–184
Peter Hall, “Two-sided bounds for nonuniform rates of convergence in the central limit theorem”, Z. Wahrscheinlichkeitstheorie verw Gebiete, 65:1 (1983), 61
V. I. Rotar', “On summation of independent variables in a non-classical situation”, Russian Math. Surveys, 37:6 (1982), 151–175
S. Ya. Šorgin, “Non-classical estimates of the rate of convergence in the central limit theorem which take into account large deviations”, Theory Probab. Appl., 27:2 (1983), 324–337
V.I Rotar', “Limit theorems for polylinear forms”, Journal of Multivariate Analysis, 9:4 (1979), 511
“Summary of Papers Presented at Sessions of the Probability and Statistics Seminar in the Mathematical Institute of the USSR Academy of Sciences, 1978”, Theory Probab. Appl., 24:3 (1980), 656–676
S. Ya. Šorgin, “A non-classical estimate of the rate of convergence in the multidimensional central limit theorem which takes into account large deviations”, Theory Probab. Appl., 23:3 (1979), 667–671

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

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