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, 2022, Volume 56, Issue 1,Pages <nobr>33

This article is cited 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

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.

MSC: 60D05, 52A22, 53C65

Received: 28.02.2022
Revised: 14.03.2022
Accepted: 28.03.2022

Language: English

DOI: 10.46991/PYSU:A/2022.56.1.033