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| HAL: hal-00458717, version 1 |
| DOI: 10.1016/j.laa.2005.11.026 |
| Detailed view |  Export this paper |
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| Linear Algebra and its Applications 416, 2-3 (2006) 365-372 |
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| A variance inequality ensuring that a predistance matrix is Euclidean |
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| Jacques Bénasséni 1, 2 |
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| (2006) |
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| We derive a variance inequality on the squares of the pre-distances between n objects ensuring that the corresponding pre-distance matrix is Euclidean. The result is discussed in relation with some transformations making a pre-distance matrix Euclidean. |
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| 1: | Université de Haute Bretagne - Rennes 2 (UHB) |
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Université de Rennes II - Haute Bretagne |
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| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Subject | : | Mathematics/Statistics Statistics/Statistics Theory |
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| Euclidean distance matrix – Variance inequality |
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| hal-00458717, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00458717 | |
| oai:hal.archives-ouvertes.fr:hal-00458717 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Monday, 22 February 2010 11:01:50 | |
| Updated on: Monday, 22 February 2010 11:01:50 | |
