Proves asymptotic lower bounds on variance of vertices and missed area for random disc-polygons that match the order of prior upper bounds for C_+^2 smooth convex discs.
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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Variance bounds for disc-polygons
Proves asymptotic lower bounds on variance of vertices and missed area for random disc-polygons that match the order of prior upper bounds for C_+^2 smooth convex discs.