Classical multivariate statistics measures the outlyingness of a point by its Mahalanobis distance from mean, which is based on mean and covariance matrix data. A depth function which, given distribution in d-space, centrality number between 0 1, while satisfying certain postulates regarding invariance, monotonicity, convexity continuity. Accordingly, numerous notions have been proposed literat...

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 Fra...

This study examined whether the relationship between high poverty and infant mortality rates (IMRs) varied across race- and ethnic-specific populations in large urban areas. Data were drawn from 1990 Census and 1992-1994 Vital Statistics for selected U.S. metropolitan areas. High-poverty areas were defined as neighborhoods in which > or = 40% of the families had incomes below the federal povert...