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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/uzeru930
https://www.mathnet.ru/eng/uzeru/v56/i1/p33
This publication is cited in the following 1 articles:
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