In this paper we investigate a new class of central regions for probability distributions on Rd, called weighted-mean regions. Their restrictions to an empirical distribution are the weighted-mean trimmed regions investigated by Dyckerhoff and Mosler (2011) for d-variate data. Furthermore a new...

Funktionen -- Matrizen und Vektoren -- Folgen und Reihen -- Differenzierbare Funktionen einer Variablen -- Differenzierbare Funktionen mehrerer Variablen -- Optimierung von Funktionen mehrerer Variablen -- Integralrechnung -- Lineare Gleichungen -- Grundbegriffe der linearen Algebra --...

A new procedure, called D D α-procedure, is developed to solve the problem of classifying d-dimensional objects into q ≥ 2 classes. The procedure is nonparametric; it uses q-dimensional depth plots and a very efficient algorithm for discrimination analysis in the depth space [0,1]<Superscript> q </Superscript>....</superscript>

The paper investigates Lorenz dominance and generalized Lorenz dominance to compare distributions of economic status in one and several attributes. Restrictions of these dominance relations are developed that focus on central parts of the distributions and facilitate their comparison. Copyright...

The paper investigates Lorenz dominance and generalized Lorenz dominance to compare distributions of economic status in one and several attributes. Restrictions of these dominance relations are developed that focus on central parts of the distributions and facilitate their comparison. Copyright...