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Teoriya Veroyatnostei i ee Primeneniya, 2019, Volume 64, Issue 4, Pages 707–724
DOI: https://doi.org/10.4213/tvp5288 (Mi tvp5288) 		 
On integro-local CLT for sums of independent random vectors

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy
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DOI: https://doi.org/10.4213/tvp5288
Abstract: The remainder term in the integro-local version of the multidimensional central limit theorem for a sum of independent random vectors is studied with due account of asymptotic expansions. It is assumed that the distribution of this sum can be absolutely continuous and/or lattice in some coordinates.
Keywords: central limit theorem, independent random vectors, lattice random vectors, volume of a Borel set, asymptotic expansions.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00356
This research was supported by the Russian Foundation for Basic Research (grant 19-01-00356).
Received: 30.01.2019
Accepted: 12.02.2019
English version:
Theory of Probability and its Applications, 2020, Volume 64, Issue 4, Pages 564–578
DOI: https://doi.org/10.1137/S0040585X97T989702
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. V. Rozovskii, “On integro-local CLT for sums of independent random vectors”, Teor. Veroyatnost. i Primenen., 64:4 (2019), 707–724; Theory Probab. Appl., 64:4 (2020), 564–578
Citation in format AMSBIB
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