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Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) >
Lehrstuhl für Statistik und Ökonometrie, Universität Erlangen-Nürnberg >
Diskussionspapiere des Lehrstuhls für Statistik und Ökonometrie, FAU Erlangen-Nürnberg >
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http://hdl.handle.net/10419/29566
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| Title: | | Einflusskurven höherer Verteilungsmaßzahlen  |
| Authors: | | Klein, Ingo |
| Issue Date: | | 1998 |
| Series/Report no.: | | Diskussionspapiere // Friedrich-Alexander-Universität Erlangen-Nürnberg, Lehrstuhl für Statistik und Ökonometrie 21/1998 |
| Abstract: | | In almost all studies concerned with the distribution of financial data skewness and leptokurtosis will be measured by the third and the fourth standardized moments. Additionally, there is the problem of some severe outliers in the data. Therefore, skewness and leptokurtosis will be overestimated because the standardized moments are very sensitive with respect to these outliers as the investigation of the influence function of higher order standardized moments shows. In the literature concerned with adaptive and robust statistical methods there are alternative proposals for measuring skewness and kurtosis. These measures depend on means only defined on a part of the support of the considered distribution or on quantiles. Also for these measures the influence functions will be derived to discuss the influence of isolated outliers |
| Document Type: | | Working Paper |
| Appears in Collections: | | Diskussionspapiere des Lehrstuhls für Statistik und Ökonometrie, FAU Erlangen-Nürnberg
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