CONDITIONAL MOMENTS OF THE DISTANCE DISTRIBUTION TWORANDOM POINTS IN A CONVEX DOMAIN IN R2

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CONDITIONAL MOMENTS OF THE DISTANCE DISTRIBUTION TWORANDOM POINTS IN A CONVEX DOMAIN IN R2 Rafi Karamyan@

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.

DOI: 10.46991/PYSU:A/2020.54.1.003 Physical and Mathematical Sciences, 54(1 (251) 3-8

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Keywords

convex set, conditional distribution, Chord length

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