Abstract: Data depth measures the centrality of a point with respect to a given distribution or data cloud. It provides a natural center-outward ordering of multivariate data points and yields a systematic nonparametric multivariate analysis scheme. In particular, the halfspace depth is shown to...

Data depth measures the centrality of a point with respect to a given distribution or data cloud. It provides a natural center-outward ordering of multivariate data points and yields a systematic nonparametric multivariate analysis scheme. In particular, the halfspace depth is shown to have...

The problems of the analysis of stochastic systems described by nonlinear statistical models with heterogeneous functional forms are considered in the space of «essential dependent» features. It is supposed that functional heterogeneity is conditioned by the existing of the different classes...