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

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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