Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/29578 
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dc.contributor.authorFischer, Matthias J.en
dc.date.accessioned2009-12-02-
dc.date.accessioned2010-01-13T14:06:19Z-
dc.date.available2010-01-13T14:06:19Z-
dc.date.issued2006-
dc.identifier.urihttp://hdl.handle.net/10419/29578-
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
dc.language.isoengen
dc.publisher|aFriedrich-Alexander-Universität Erlangen-Nürnburg, Lehrstuhl für Statistik und Ökonometrie |cNürnbergen
dc.relation.ispartofseries|aDiskussionspapier |x75/2006en
dc.subject.ddc330en
dc.subject.keywordPower kurtosis transformationen
dc.subject.keywordleptokurtosisen
dc.subject.keyword(skew) L-distributionen
dc.titleThe L-distribution and skew generalizations-
dc.type|aWorking Paperen
dc.identifier.ppn614055873en
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen
dc.identifier.repecRePEc:zbw:faucse:752006en

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