Inequalities and Positive-Definite Functions Arising from a Problem in Multidimensional Scaling
We solve the following variational problem: Find the maximum of E|X - Y| subject to E|X|2≤ 1, where X and Y are i.i.d. random n-vectors, and |·| is the usual Euclidean norm on Rn. This problem arose from an investigation into multidimensional scaling, a data analytic method for visualizing proximity...
| Veröffentlicht in: | The Annals of Statistics. - Institute of Mathematical Statistics. - 22(1994), 1, Seite 406-438 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
1994
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| Zugriff auf das übergeordnete Werk: | The Annals of Statistics |
| Schlagworte: | Multidimensional scaling maximal expected distance potential theory inequalities positive-definite functions Wiener-Hopf technique Physical sciences Mathematics Information science Behavioral sciences |
| Online verfügbar |
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