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Teoriya Veroyatnostei i ee Primeneniya, 2017, Volume 62, Issue 1, Pages 68–71
DOI: https://doi.org/10.4213/tvp5100 (Mi tvp5100) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On one property of symmetrized distributions

N. G. Gamkrelidze

Gubkin Russian State University of Oil and Gas
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DOI: https://doi.org/10.4213/tvp5100
Abstract: The present paper studies the connection between the local limit theorem for lattice random variables and the corresponding symmetrized random variables. An example is constructed to show that the local limit theorem holds for some sequence of symmetrized random variables, but fails to hold for the original random variables.
Keywords: local limit theorem for lattice random variables, local limit theorem for symmetrized random variables.
Received: 28.06.2016
Revised: 10.08.2016
Accepted: 20.10.2016
English version:
Theory of Probability and its Applications, 2018, Volume 62, Issue 1, Pages 55–57
DOI: https://doi.org/10.1137/S0040585X97T988484
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. G. Gamkrelidze, “On one property of symmetrized distributions”, Teor. Veroyatnost. i Primenen., 62:1 (2017), 68–71; Theory Probab. Appl., 62:1 (2018), 55–57
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp5100
  • https://www.mathnet.ru/eng/tvp/v62/i1/p68
    • 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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    References:62
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