34 citations · 49 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Fast nonparametric classification based on data depth
Tatjana Lange, Karl Mosler, Pavlo Mozharovskyi
A new procedure, called DDa-procedure, is developed to solve the problem of classifying d-dimensional objects into q >= 2 classes. The procedure is completely nonparametric; it use…
Depth statistics
Karl Mosler
In 1975 John Tukey proposed a multivariate median which is the 'deepest' point in a given data cloud in R^d. Later, in measuring the depth of an arbitrary point z with respect to t…