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Matematicheskie Zametki, 2001, Volume 70, Issue 1, Pages 51–58
DOI: https://doi.org/10.4213/mzm718 (Mi mzm718) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Necessity of the Lindeberg Condition for the Normal Convergence of Martingales

V. M. Kruglov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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DOI: https://doi.org/10.4213/mzm718
Abstract: We give conditions on square-integrable martingales whose consequence is the “conditional” Lindeberg condition.
Received: 07.07.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 1, Pages 46–52
DOI: https://doi.org/10.1023/A:1010217800645
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. M. Kruglov, “On the Necessity of the Lindeberg Condition for the Normal Convergence of Martingales”, Mat. Zametki, 70:1 (2001), 51–58; Math. Notes, 70:1 (2001), 46–52
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm718
  • https://www.mathnet.ru/eng/mzm/v70/i1/p51
    • This publication is cited in the following 1 articles:
    1. Yoichi Fujita, Osamu Kawakami, Tomohisa Kuroda, Makoto Hattori, Yasuhiro Higuchi, Yoshifumi Nagumo, Yoshihiko Takahashi, “Appropriate Planting Density of Two Soybean Cultivars Differing in Adaptability to Dense Planting in Ridge-making Narrow-row Cultivation”, Japanese journal of crop science, 86:2 (2017), 119  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:75
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