34 citations · 49 across the 9 of their papers we have counts for
4 papers · 1 filter
Choosing among notions of multivariate depth statistics
Karl Mosler, Pavlo Mozharovskyi
Classical multivariate statistics measures the outlyingness of a point by its Mahalanobis distance from the mean, which is based on the mean and the covariance matrix of the data.…
Fast DD-classification of functional data
Karl Mosler, Pavlo Mozharovskyi
A fast nonparametric procedure for classifying functional data is introduced. It consists of a two-step transformation of the original data plus a classifier operating on a low-dim…
Stochastic linear programming with a distortion risk constraint
Karl Mosler, Pavel Bazovkin
Linear optimization problems are investigated whose parameters are uncertain. We apply coherent distortion risk measures to capture the possible violation of a restriction. Each ri…
General notions of depth for functional data
Karl Mosler, Yulia Polyakova
A data depth measures the centrality of a point with respect to an empirical distribution. Postulates are formulated, which a depth for functional data should satisfy, and a genera…