We consider four orthant stochastic orderings between random vectors X and Y that have finitely discrete probability distributions in IRk. For each of the orderings conditions have been developed that are necessary and sufficient for dominance of Y over X. We present an algorithm that checks...

We consider four orthant stochastic orderings between random vectors X and Y that have finitely discrete probability distributions in IRk. For each of the orderings conditions have been developed that are necessary and sufficient for dominance of Y over X. We present an algorithm that checks...

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 --...

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...