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Generierung schiefer Verteilungen mittels Skalenparametersplittung

Martin Grottke

No 30/1999, Discussion Papers from Friedrich-Alexander University Erlangen-Nuremberg, Chair of Statistics and Econometrics

Abstract: 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-, Cauchyand Box-Tiao-distribution. They also allow a higher leptokurtosis, what makes them suitable for the estimation of financial data

Date: 1999
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