LARGE DEVIATIONS FOR MINKOWSKI SUMS OF HEAVY-TAILED GENERALLY NON-CONVEX RANDOM COMPACT SETS

摘要

We prove large deviation results for Minkowski sums of iid random compact sets where we assume that the summands have a regularly varying distribution. The result confirms the heavy-tailed large deviation heuristics: "large" values of the sum are essentially due to the "largest" summand.