Arbeitspapier
Kurtosis transformation and kurtosis ordering
Leptokurtic distributions can be generated by applying certain non-linear transformations to a standard normal random variable. Within this work we derive general conditions for these transformations which guarantee that the generated distributions are ordered with respect to the partial ordering of van Zwet for symmetric distributions and the partial ordering of MacGillivray for arbitrary distributions. In addition, we propose a general power transformation which nests the H-, J- and K-transformations which have already been proposed in the literature. Within this class of power transformations the above mentioned condition can be easily verified and the power can be interpreted as parameter of leptokurtosis.
- Language
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Englisch
- Bibliographic citation
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Series: Diskussionspapier ; No. 53/2003
- Classification
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Wirtschaft
- Subject
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Power kurtosis transformation
leptokurtosis
kurtosis ordering
- Event
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Geistige Schöpfung
- (who)
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Klein, Ingo
Fischer, Matthias J.
- Event
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Veröffentlichung
- (who)
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Friedrich-Alexander-Universität Erlangen-Nürnburg, Lehrstuhl für Statistik und Ökonometrie
- (where)
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Nürnberg
- (when)
-
2003
- Handle
- Last update
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10.03.2025, 11:46 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Klein, Ingo
- Fischer, Matthias J.
- Friedrich-Alexander-Universität Erlangen-Nürnburg, Lehrstuhl für Statistik und Ökonometrie
Time of origin
- 2003
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