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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2022, Volume 56, Issue 1, Pages 33–42
DOI: https://doi.org/10.46991/PYSU:A/2022.56.1.033
(Mi uzeru930)
 

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

Mathematics

Relation between the covariogram and distribution function of the distance between two uniform and independent points

V. K. Ohanyan, V. H. Khalatyan

Yerevan State University, Faculty of Mathematics and Mechanics
Full-text PDF (513 kB) Citations (1)
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Abstract: In the present paper we obtain a relationship between the covariogram and distribution function of the distance between two uniformly and independently distributed points. Additionally, we calculate the distribution function of the distance between these two points in a disk, a ball and a triangle.
Keywords: stochastic geometry, chord length distribution function, covariogram, bounded convex body.
Received: 28.02.2022
Revised: 14.03.2022
Accepted: 28.03.2022
Document Type: Article
MSC: 60D05, 52A22, 53C65
Language: English
Citation: V. K. Ohanyan, V. H. Khalatyan, “Relation between the covariogram and distribution function of the distance between two uniform and independent points”, Proceedings of the YSU, Physical and Mathematical Sciences, 56:1 (2022), 33–42
Citation in format AMSBIB
\Bibitem{OhaKha22}
\by V.~K.~Ohanyan, V.~H.~Khalatyan
\paper Relation between the covariogram and distribution function of the distance between two uniform and independent points
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2022
\vol 56
\issue 1
\pages 33--42
\mathnet{http://mi.mathnet.ru/uzeru930}
\crossref{https://doi.org/10.46991/PYSU:A/2022.56.1.033}
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  • This publication is cited in the following 1 articles:
    1. D. M. Martirosyan, V. K. Ohanyan, “On the Euclidean Distance between Two Gaussian Points and the Normal Covariogram of $\boldsymbol{\mathbb{R}}^{\boldsymbol{d}}$”, J. Contemp. Mathemat. Anal., 59:1 (2024), 38  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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