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Teoriya Veroyatnostei i ee Primeneniya, 2020, Volume 65, Issue 1, Pages 79–102
DOI: https://doi.org/10.4213/tvp5283
(Mi tvp5283)
 

This article is cited in 1 scientific paper (total in 1 paper)

Local limit theorems for smoothed Bernoulli and other convolutions

S. G. Bobkova, A. Marsigliettib

a School of Mathematics, University of Minnesota, Minneapolis, MN, USA
b Department of Mathematics, University of Florida, Gainesville, FL, USA
Full-text PDF (527 kB) Citations (1)
References:
Abstract: We explore the asymptotic behavior of densities of sums of independent random variables that are convoluted with a small continuous noise.
Keywords: central limit theorem, local limit theorem.
Funding agency Grant number
National Science Foundation DMS-1855575
Research of the first author was partially supported by NSF grant DMS-1855575.
Received: 20.12.2018
Accepted: 22.05.2019
English version:
Theory of Probability and its Applications, 2020, Volume 65, Issue 1, Pages 62–81
DOI: https://doi.org/10.1137/S0040585X97T989829
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. G. Bobkov, A. Marsiglietti, “Local limit theorems for smoothed Bernoulli and other convolutions”, Teor. Veroyatnost. i Primenen., 65:1 (2020), 79–102; Theory Probab. Appl., 65:1 (2020), 62–81
Citation in format AMSBIB
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\by S.~G.~Bobkov, A.~Marsiglietti
\paper Local limit theorems for smoothed Bernoulli and other convolutions
\jour Teor. Veroyatnost. i Primenen.
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\vol 65
\issue 1
\pages 79--102
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\crossref{https://doi.org/10.4213/tvp5283}
\transl
\jour Theory Probab. Appl.
\yr 2020
\vol 65
\issue 1
\pages 62--81
\crossref{https://doi.org/10.1137/S0040585X97T989829}
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Linking options:
  • https://www.mathnet.ru/eng/tvp5283
  • https://doi.org/10.4213/tvp5283
  • https://www.mathnet.ru/eng/tvp/v65/i1/p79
  • This publication is cited in the following 1 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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    Abstract page:306
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    References:32
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