CONDITIONAL MOMENTS OF THE DISTANCE DISTRIBUTION TWO RANDOM POINTS IN A CONVEX DOMAIN IN $ {\mathbb{R}}^2 $

R.H. Aramyan; V.A. Mnatsakanyan

doi:10.46991/PYSU:A/2020.54.1.003

CONDITIONAL MOMENTS OF THE DISTANCE DISTRIBUTION TWO RANDOM POINTS IN A CONVEX DOMAIN IN $ {\mathbb{R}}^2 $

Authors

R.H. Aramyan Russian-Armenian University, Armenia
V.A. Mnatsakanyan Russian-Armenian University, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2020.54.1.003

Keywords:

convex set, conditional distribution, chord length

Abstract

In this article we define two new integral geometric concepts: conditional moments of the chord length distribution of a convex domain and conditional moments of the distance distribution of two independent uniformly distributed points in a convex domain. We also found a relation between these two concepts.

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Published

2020-04-15

How to Cite

Aramyan, R., & Mnatsakanyan, V. (2020). CONDITIONAL MOMENTS OF THE DISTANCE DISTRIBUTION TWO RANDOM POINTS IN A CONVEX DOMAIN IN $ {\mathbb{R}}^2 $. Proceedings of the YSU A: Physical and Mathematical Sciences, 54(1 (251), 3–8. https://doi.org/10.46991/PYSU:A/2020.54.1.003