Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2022, Issue 1, Pages 45–52
DOI: https://doi.org/10.26456/vtpmk628 (Mi vtpmk628) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Theory of Probability and Mathematical Statistics

Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution

A. E. Kondratenkoa, V. N. Sobolevb

a Lomonosov Moscow State University, Moscow
b Laboratory of TVP, Moscow
Full-text PDF (351 kB) Citations (3)
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DOI: https://doi.org/10.26456/vtpmk628
Abstract: The article considers the issue of preserving the information property of convolution with canonical uniform distribution in the cases of arbitrary finite lattice and arbitrary segment. For this purpose, the generalization and the unification of the concepts of remainder of division and fractional part are proposed.
Keywords: convolution, fractional part, uniform distribution, entropy.
Received: 14.02.2022
Revised: 16.03.2022
Bibliographic databases:
Document Type: Article
UDC: 517.962.26, 517.982.43, 519.21, 519.72
Language: Russian
Citation: A. E. Kondratenko, V. N. Sobolev, “Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 1, 45–52
Citation in format AMSBIB
\Bibitem{ConSob22}
\by A.~E.~Kondratenko, V.~N.~Sobolev
\paper Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2022
\issue 1
\pages 45--52
\mathnet{http://mi.mathnet.ru/vtpmk628}
\crossref{https://doi.org/10.26456/vtpmk628}
\elib{https://elibrary.ru/item.asp?id=48335146}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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