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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/10419/56059
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| Title: | | Robustness properties of quasi-linear means with application to the Laspeyres and Paasche indices  |
| Authors: | | Klein, Ingo Ardelean, Vlad |
| Issue Date: | | 2012 |
| Series/Report no.: | | Diskussionspapiere, Friedrich-Alexander-Universität Erlangen-Nürnberg, Lehrstuhl für Statistik und Ökonometrie 88/2010 |
| Abstract: | | Li, Fang & Tian (1994) assert that special quasi-linear means should be preferred to the simple arithmetic mean for robustness properties. The strategy that is used to show robustness is completely detached from the concepts wellknown from the theory of robust statistics. Robustness of estimators can be verified with tools from robust statistics, e.g. the influence function or the breakdown point. On the other hand it seems that robust statistics is not interested in quasi-linear means. Therefore, we compute influence functions and breakdown points for quasi-linear means and show that these means are not robust in the sense of robust statistics if the generator is unbounded. As special cases we consider the Laspeyres, the Paasche and the Fisher indices. |
| Subjects: | | quasi-linear mean robustness influence function breakdown point Laspeyres index Paasche index Fisher index |
| Document Type: | | Working Paper |
| Appears in Collections: | | Diskussionspapiere des Lehrstuhls für Statistik und Ökonometrie, FAU Erlangen-Nürnberg
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