Investigating spatial scan statistics for multivariate functional data

Abstract In environmental surveillance, cluster detection of black spots is major interest due to the adverse health effects pollutants, as well their known synergistic effect. Thus, this paper introduces three new spatial scan statistics for multivariate functional data, applicable detecting clusters abnormal air pollutants concentrations measured spatially at a very fine scale in northern France October 2021 taking into account correlations. Mathematically, our methodology derived from analysis variance, an adaptation Hotelling T2-test statistic, and extension Wilcoxon test statistic. The approaches were evaluated simulation study then applied pollution dataset.