Spatial Scan Statistics for Functional Data

In this chapter, we propose a review of spatial scan statistics methods for functional data. These are defined by spatial locations within which longitudinal observations are made. Several methods of spatial scan statistics are presented in the context of univariate and multivariate functional data. Compared to univariate and multivariate spatial scan statistics, these methods have the advantage of considering the whole data while overcoming the problem of high dimensionality and multicollinearity. These methods are illustrated through an application to the detection of environmental black spots of multiple air pollution in France.