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Diskretnaya Matematika, 2007, Volume 19, Issue 1, Pages 27–39
DOI: https://doi.org/10.4213/dm5 (Mi dm5) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Stein–Tikhomirov method and its applications in nonclassical limit theorems

Sh. K. Formanov
Full-text PDF (137 kB) Citations (7)
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DOI: https://doi.org/10.4213/dm5
Abstract: In this paper we give necessary and sufficient conditions for validity of the central limit theorem for sums of independent random variables in terms of characteristic functions in a nonclassical setup where an essential contribution of individual variables to the sum is allowed. These conditions are formulated with the use of the Stein–Tikhomirov operator.
Received: 12.05.2006
English version:
Discrete Mathematics and Applications, 2007, Volume 17, Issue 1, Pages 23–36
DOI: https://doi.org/10.1515/DMA.2007.004
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: Sh. K. Formanov, “On the Stein–Tikhomirov method and its applications in nonclassical limit theorems”, Diskr. Mat., 19:1 (2007), 27–39; Discrete Math. Appl., 17:1 (2007), 23–36
Citation in format AMSBIB
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\by Sh.~K.~Formanov
\paper On the Stein--Tikhomirov method and its applications in nonclassical limit theorems
\jour Diskr. Mat.
\yr 2007
\vol 19
\issue 1
\pages 27--39
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\transl
\jour Discrete Math. Appl.
\yr 2007
\vol 17
\issue 1
\pages 23--36
\crossref{https://doi.org/10.1515/DMA.2007.004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248226808}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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