Idempotence is a well-known property of functionals of location. It means that the value of the functional at a singular distribution must be identically to the mass point of this distribution. First, we explain the role of idempotence in the known axiomizations of location functionals. Then we...

There is no package in R to plot bivariate distributions for discrete variables or variables given by classes. Therefore, with the help of the already implemented R routine "persp" R functions will be proposed for 3-D plots of the bivariate distribution of discrete variables, the so-called...

There are several procedures to construct a skewed distribution. One of these procedures splits the value of a parameter of scale for the two halfs of a symmetric distribution. Fechner proposed this procedure in his famous book "Kollektivmaßlehre (1897), p. 295ff.". A similar proposal comes...

There are several procedures to construct a skewed distribution. One of these procedures is based on a symmetric distribution that will be distorted by a skewed distribution defined on (0; 1). This proposal stems from Arellano-Valle et al. and was refined by Ferreira & Steel. Up to now, it is an...

The serial dependency of multivariate nancial data will often be ltered by con-sidering the residuals of univariate GARCH models adapted to every single series.This is the correct ltering strategy if the multivariate process follows a so-calledcopula based multivariate dynamic model (CMD). These...

There are several possibilities to introduce skewness into a symmetric distribution. One ofthese procedures applies two di®erent parameters of scale { with possibly di®erent weights {to the positive and the negative part of a symmetric density. Within this work we show thatthis technique...