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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2020, Volume 54, Issue 1, Pages 3–8
(Mi uzeru697)
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Mathematics
Conditional moments of the distance distribution two random points in a convex domain in R2
R. H. Aramyan, V. A. Mnatsakanyan Russian-Armenian University, Yerevan
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.
Keywords:
convex set, conditional distribution, Chord length.
Received: 16.12.2019 Revised: 16.03.2020 Accepted: 30.03.2020
Citation:
R. H. Aramyan, V. A. Mnatsakanyan, “Conditional moments of the distance distribution two random points in a convex domain in R2”, Proceedings of the YSU, Physical and Mathematical Sciences, 54:1 (2020), 3–8
Linking options:
https://www.mathnet.ru/eng/uzeru697 https://www.mathnet.ru/eng/uzeru/v54/i1/p3
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Abstract page: | 99 | Full-text PDF : | 51 | References: | 24 |
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