Large deviations for Minkowski sums of heavy-tailed generally non-convex random compact sets

Abstrakt

Large deviation results for Minkowski sums of independent and identically distributed random compact sets are proved. The summands are assumed to have a regularly varying distribution.

The sets are allowed to be generally non-convex.

Klíčová slova

• Minkowski sum
• random compact set
• large deviation
• regularly varying distribution