Conditional moments of the distance  distribution  two random points in a convex domain in $\mathbf R^2$

R. H. Aramyan; V. A. Mnatsakanyan

Geodesic

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Conditional moments of the distance distribution two random points in a convex domain in $\mathbf R^2$

R. H. Aramyan ; V. A. Mnatsakanyan

Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 1, pp. 3-8

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Résumé

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.

Keywords: convex set, conditional distribution, Chord length.

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R. H. Aramyan; V. A. Mnatsakanyan. Conditional moments of the distance  distribution  two random points in a convex domain in $\mathbf R^2$. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 1, pp. 3-8. http://geodesic.mathdoc.fr/item/UZERU_2020_54_1_a0/