Generierung schiefer Verteilungen mittels Skalenparametersplittung

There are several proposals of adding a skewness parameter into a symmetric distribution. Most of them are combined with a certain distribution. The following working paper will present an universal method of generating an asymmetric distribution.As an application this method is used to make the Generalized-t-distribution skewed – thus producing the Skewed-Generalized-t (SGT-), the SGT2- and the SGT3-distribution. These distributions include several well known distributions like the Normal-, Laplace-, t-, CauchyandBox-Tiao-distribution. They also allow a higher leptokurtosis, what makes them suitable for the estimation of financial data.