was refined by Ferreira and Steel. Up to now, it is an open question whether the famous skewness ordering of van Zwet will … be preserved for this proposal. There is a general condition under which the van Zwets skewness ordering will be …. Therefore, for the skewness mechanism we choose a special beta distribution with only one parameter. Then, we get three results …

incorporates a well-defined parameter of skewness. It is well-defined in the sense that the parameter of skewness is compatible … a measure of skewness in the sense of Oja (1981). In the special case considered by Fechner (1897) this measure and the … skewness parameter coincide. …

There are several possibilities to introduce skewness into a symmetric distribution. One of these procedures applies … density. Within this work we show that this technique incorporates a well-defined parameter of skewness, i.e. that the … generated distributions are skewed to the right (left) if the parameter of skewness takes values less (greater) than one …

A generalization of the hyperbolic secant distribution which allows both for skewness and for leptokurtosis was given … which has a lot of nice properties but is not able to allow for skewness. For this reason, Fischer and Vaughan (2002 …) additionally introduced a skewness parameter by means of splitting the scale parameter and showed that most of the nice properties …

A generalization of the hyperbolic secant distribution which allows both for skewness and for leptokurtosis was given … which has a lot of nice properties but is not able to allow for skewness. For that reason, we additionally introduce a … skewness parameter by means of splitting the scale parameter and show that most of the nice properties are preserved. Finally …

take skewness into account by means of certain transformations, several generalizations and extensions (HQ …

generalize the notion of GARCH processes in an information-theoretic sense and are able to capture skewness and kurtosis better …