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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 3, Pages 661–666 (Mi tvp4004)  
This article is cited in 9 scientific papers (total in 9 papers)

Short Communications

Cauchy equation on discrete domain and some characterisation theorems

R. Dasgupta

Statistics-Mathematics Division, Indian Statistical Institute, Calcutta, India
Full-text PDF (1489 kB) Citations (9)
Abstract: Discrete version of normal distribution, i.e., $P(x)=c\exp\{-\beta x^2\}$, $\beta>0$, $x\in\mathbf{Z}$, is characterised via the solution of cauchy type equation on discrete domain in dimension 4 or higher. It is also shown that this characterisation does not necessarily holds for second and third dimensions. Some statistical aspects of radial symmetry and eccentricity along with the properties of this distribution are also discussed.
Keywords: Cauchy equation, radial symmetry, eccentricity, discrete normal, distribution.
Received: 29.08.1991
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 3, Pages 520–524
DOI: https://doi.org/10.1137/1138049
Bibliographic databases:
Document Type: Article
Language: English
Citation: R. Dasgupta, “Cauchy equation on discrete domain and some characterisation theorems”, Teor. Veroyatnost. i Primenen., 38:3 (1993), 661–666; Theory Probab. Appl., 38:3 (1993), 520–524
Citation in format AMSBIB
\Bibitem{Das93}
\by R.~Dasgupta
\paper Cauchy equation on discrete domain and some characterisation theorems
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 3
\pages 661--666
\mathnet{http://mi.mathnet.ru/tvp4004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1404676}
\zmath{https://zbmath.org/?q=an:0807.60018}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 3
\pages 520--524
\crossref{https://doi.org/10.1137/1138049}
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  • https://www.mathnet.ru/eng/tvp/v38/i3/p661
    • This publication is cited in the following 9 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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