Proves limits for expected vertices and missed area of random L-convex polygons from n points in K, with finite vertex limit when K=L and extrema for constant-width L.
Efron, The convex hull of a random set of points , Biometrika 52 (1965), 331–343
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On random approximations by generalized disc-polygons
Proves limits for expected vertices and missed area of random L-convex polygons from n points in K, with finite vertex limit when K=L and extrema for constant-width L.