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Matematicheskie Zametki, 2002, Volume 71, Issue 4, Pages 604–610
DOI: https://doi.org/10.4213/mzm371 (Mi mzm371) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The Stein–Tikhomirov Method and a Nonclassical Central Limit Theorem

Sh. K. Formanov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (166 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm371
Abstract: We present a simplified version of the Stein–Tikhomirov method realized by defining a certain operator in the class of twice differentiable characteristic functions. Using this method, we establish a criterion for the validity of a nonclassical central limit theorem in terms of characteristic functions.
Received: 25.07.2000
Revised: 19.07.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 4, Pages 550–555
DOI: https://doi.org/10.1023/A:1014840017098
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: Sh. K. Formanov, “The Stein–Tikhomirov Method and a Nonclassical Central Limit Theorem”, Mat. Zametki, 71:4 (2002), 604–610; Math. Notes, 71:4 (2002), 550–555
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
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