decomposability and symmetric unimodal densities in one dimension
In this paper, we introduce the notion of - decomposability of probability density functions in one dimension. Using -decomposability, we derive an inequality that applies to all symmetric unimodal densities. Our inequality involves only the standard deviation of the densities concerned. The concept...
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| Veröffentlicht in: | Annals of the Institute of Statistical Mathematics 2009-06, Vol.61 (2), p.275-289 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we introduce the notion of
-
decomposability
of probability density functions in one dimension. Using
-decomposability, we derive an inequality that applies to all symmetric unimodal densities. Our inequality involves only the standard deviation of the densities concerned. The concept of
-decomposability can be used as a non-parametric criterion for mode-finding and cluster analysis. |
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| ISSN: | 0020-3157 1572-9052 |
| DOI: | 10.1007/s10463-007-0144-2 |