Title: A Wilcoxon-Mann-Whitney spatial scan statistic for functional data
Authors: Zaineb Smida - IMAG, university of Montpellier (France) [presenting]
Abstract: A nonparametric scan method is introduced for functional data indexed in space. The associated scan statistic is derived from the Wilcoxon-Mann-Whitney test statistic defined for infinite dimensional data. It is completely nonparametric as it does not assume any distribution concerning the functional marks. In our simulation study, this scan test appears to be powerful against clustering alternatives. We also apply our method to a data set for extracting features in Spanish province population growth. A significant and relevant spatial cluster with a low rate of demographic change was found in the North-West of Spain.