RELATION BETWEEN THE COVARIOGRAM AND DISTRIBUTION FUNCTION OF THE DISTANCE BETWEEN TWO UNIFORM AND INDEPENDENT POINTS

Victor K. Ohanyan; Vigen H. Khalatyan

doi:10.46991/PYSU:A/2022.56.1.033

RELATION BETWEEN THE COVARIOGRAM AND DISTRIBUTION FUNCTION OF THE DISTANCE BETWEEN TWO UNIFORM AND INDEPENDENT POINTS

Authors

Victor K. Ohanyan Chair of the Theory of Probability and Mathematical Statistics, YSU, Armenia
Vigen H. Khalatyan Chair of the Theory of Probability and Mathematical Statistics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2022.56.1.033

Keywords:

stochastic geometry, chord length distribution function, bounded convex body

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.

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Published

2022-03-25

How to Cite

Ohanyan, V. K., & Khalatyan, V. H. (2022). RELATION BETWEEN THE COVARIOGRAM AND DISTRIBUTION FUNCTION OF THE DISTANCE BETWEEN TWO UNIFORM AND INDEPENDENT POINTS. Proceedings of the YSU A: Physical and Mathematical Sciences, 56(1 (257), 33–42. https://doi.org/10.46991/PYSU:A/2022.56.1.033