Arbeitspapier
The L-distribution and skew generalizations
Leptokurtic 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.
- Sprache
-
Englisch
- Erschienen in
-
Series: Diskussionspapier ; No. 75/2006
- Klassifikation
-
Wirtschaft
- Thema
-
Power kurtosis transformation
leptokurtosis
(skew) L-distribution
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Fischer, Matthias J.
- Ereignis
-
Veröffentlichung
- (wer)
-
Friedrich-Alexander-Universität Erlangen-Nürnburg, Lehrstuhl für Statistik und Ökonometrie
- (wo)
-
Nürnberg
- (wann)
-
2006
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Fischer, Matthias J.
- Friedrich-Alexander-Universität Erlangen-Nürnburg, Lehrstuhl für Statistik und Ökonometrie
Entstanden
- 2006
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