Proves asymptotic formulas for expectation of vertex number and missed area of uniform random disc-polygons in convex disc-polygons as r-convex analogues of Rényi-Sulanke (1964).
B´ ar´ any,Random points and lattice points in convex bodies , Bulletin of The American Mathematical Society 45 (2008), 339-365
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On random disc-polygons in a disc-polygon
Proves asymptotic formulas for expectation of vertex number and missed area of uniform random disc-polygons in convex disc-polygons as r-convex analogues of Rényi-Sulanke (1964).