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Teoriya Veroyatnostei i ee Primeneniya, 2016, Volume 61, Issue 4, Pages 659–685
DOI: https://doi.org/10.4213/tvp5082 (Mi tvp5082) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Generalization and refinement of the integro-local Stone theorem for sums of random vectors

A. A. Borovkov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (326 kB) Citations (6)
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DOI: https://doi.org/10.4213/tvp5082
Abstract: The integro-local Stone theorem on the asymptotics of the probability that a sum of random vectors enters a small cube is (a) refined under additional moment and structural conditions; (b) generalized to a case of nonidentically distributed summands in the triangular array scheme; (c) the results of item (b) are refined under additional moment and structural conditions.
Keywords: integro-local Stone theorem, sums of random vectors, bound for the remainder term, triangular array scheme.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00220
Received: 15.01.2016
English version:
Theory of Probability and its Applications, 2017, Volume 61, Issue 4, Pages 590–612
DOI: https://doi.org/10.1137/S0040585X97T988368
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Borovkov, “Generalization and refinement of the integro-local Stone theorem for sums of random vectors”, Teor. Veroyatnost. i Primenen., 61:4 (2016), 659–685; Theory Probab. Appl., 61:4 (2017), 590–612
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    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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