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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)  
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
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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.
Funding agency Grant number
RA MES State Committee of Science and MES of Russia for Basic Research 18RF-019
This work was partially supported by the RA MES State Committee of Science, in the frames of the research project 18T-1A252 and the funds allocated under the grant (no. 5) of MES of Russia for financing research activities RAU. Also the work was partially supported by RA MES State Committee of Science and MES of Russia for Basic Research (Grant no. 18RF-019)}.
Received: 16.12.2019
Revised: 16.03.2020
Accepted: 30.03.2020
Document Type: Article
MSC: 53C65, 53C60, 31A10
Language: English
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
Citation in format AMSBIB
\Bibitem{AraMna20}
\by R.~H.~Aramyan, V.~A.~Mnatsakanyan
\paper Conditional moments of the distance distribution two random points in a convex domain in $\mathbf R^2$
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2020
\vol 54
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/uzeru697}
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