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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 1, Pages 55–66 (Mi tvp2975)  
This article is cited in 6 scientific papers (total in 6 papers)

Non-classical estimates of the convergence rate in the multidimensional central limit theorem. II

V. I. Rotar'

Moscow
Full-text PDF (564 kB) Citations (6)
Abstract: The proof of the theorems of [1] is continued.
Received: 01.04.1976
English version:
Theory of Probability and its Applications, 1978, Volume 23, Issue 1, Pages 50–62
DOI: https://doi.org/10.1137/1123004
Bibliographic databases:
Language: Russian
Citation: V. I. Rotar', “Non-classical estimates of the convergence rate in the multidimensional central limit theorem. II”, Teor. Veroyatnost. i Primenen., 23:1 (1978), 55–66; Theory Probab. Appl., 23:1 (1978), 50–62
Citation in format AMSBIB
\Bibitem{Rot78}
\by V.~I.~Rotar'
\paper Non-classical estimates of the convergence rate in the multidimensional central limit theorem.~II
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 1
\pages 55--66
\mathnet{http://mi.mathnet.ru/tvp2975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471034}
\zmath{https://zbmath.org/?q=an:0423.60021|0394.60019}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 23
\issue 1
\pages 50--62
\crossref{https://doi.org/10.1137/1123004}
Linking options:
  • https://www.mathnet.ru/eng/tvp2975
  • https://www.mathnet.ru/eng/tvp/v23/i1/p55
    Cycle of papers
    This publication is cited in the following 6 articles:
    1. 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  mathnet  crossref  mathscinet
    2. L. S. Yaroslavtseva, “Nonclassical Error Bounds for Asymptotic Expansions in the Central Limit Theorem”, Theory Probab. Appl., 53:2 (2009), 365–367  mathnet  crossref  crossref  zmath  isi
    3. V. I. Rotar', “On summation of independent variables in a non-classical situation”, Russian Math. Surveys, 37:6 (1982), 151–175  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. 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  mathnet  mathnet  crossref  isi
    5. V.I Rotar', “Limit theorems for polylinear forms”, Journal of Multivariate Analysis, 9:4 (1979), 511  crossref
    6. 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  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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