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dc.contributor.authorFischer, Matthias J.en_US
dc.description.abstractLeptokurtic or platykurtic distributions can, for example, be generated by applying certain non-linear transformations to a Gaussian random variable. Within this work we focus on the class of so-called power transformations which are determined by their generator function. Examples are the H-transformation of Tukey (1960), the J-transformation of Fischer and Klein (2004) and the L-transformation which is derived from Johnson's inverse hyperbolic sine transformation. It is shown that generator functions themselves which meet certain requirements can be used to construct both probability densities and cumulative distribution functions. For the J-transformation, we recover the logistic distribution. Using the L-transformation, a new class of densities is derived, discussed and generalized.en_US
dc.publisher|aUniversität Erlangen-Nürnberg, Lehrstuhl für Statistik und empirische Wirtschaftsforschung |cNürnbergen_US
dc.relation.ispartofseries|aDiskussionspapiere // Friedrich-Alexander-Universität Erlangen-Nürnberg, Lehrstuhl für Statistik und Ökonometrie |x75/2006en_US
dc.subject.keywordPower kurtosis transformationen_US
dc.subject.keyword(skew) L-distributionen_US
dc.titleThe L-distribution and skew generalizationsen_US
dc.type|aWorking Paperen_US

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