A1329
Title: Comparison of random sets distributions via statistical depths
Authors: Vesna Gotovac Dogas - ULIX DOO (Croatia) [presenting]
Abstract: Several depths for possibly non-convex random sets are presented and applied to the comparison between two samples of non-convex random sets, using a visual method of DD-plots and statistical tests. The advantage of this approach is to identify sets within the sample that are responsible for rejecting the null hypothesis of equality of the distribution and to provide clues on differences between the distributions. The method is justified on the basis of a simulation study.