Étude des puissances d'une distance
Statistique et analyse des données (1986)
- Volume: 11, Issue: 3, page 30-50
- ISSN: 0750-7364
Access Full Article
topHow to cite
topJoly, S., and Le Calve, G.. "Étude des puissances d'une distance." Statistique et analyse des données 11.3 (1986): 30-50. <http://eudml.org/doc/108942>.
@article{Joly1986,
author = {Joly, S., Le Calve, G.},
journal = {Statistique et analyse des données},
keywords = {similarity; dissimilarity; positive semidefinite quadratic forms; power of a distance; existence of a Euclidean representation; generalization of Schur's lemma; Hadamard product of matrices; data analysis},
language = {fre},
number = {3},
pages = {30-50},
publisher = {Association pour la statistique et ses illustrations},
title = {Étude des puissances d'une distance},
url = {http://eudml.org/doc/108942},
volume = {11},
year = {1986},
}
TY - JOUR
AU - Joly, S.
AU - Le Calve, G.
TI - Étude des puissances d'une distance
JO - Statistique et analyse des données
PY - 1986
PB - Association pour la statistique et ses illustrations
VL - 11
IS - 3
SP - 30
EP - 50
LA - fre
KW - similarity; dissimilarity; positive semidefinite quadratic forms; power of a distance; existence of a Euclidean representation; generalization of Schur's lemma; Hadamard product of matrices; data analysis
UR - http://eudml.org/doc/108942
ER -
References
top- [11] LEW, "Some counter examples in multidimensional scaling", Journal of Mathematical Psychology, 1978, 17, pp. 247-254. Zbl0404.92022MR500008
- [12] PATRINOS, HAKINI, "The distance matrice and its tree realisation", Quaterly of applied mathematics, 1972, Vol. 30, n° 3. Zbl0293.05103
- [13] SATTAH, TVERSKY, "Additive similarity trees", 1977, Psychometrika 42-3.
- [14] SCHOENBERG, "Remarks to Maurice Frechet's article", Annals of Mathematics, 1935, Vol. 36, pp. 724-732. Zbl0012.30703MR1503248JFM61.0435.04
- [15] SCHOENBERG, "On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space", Annals of Mathematics, 1937, Vol. 38, n° 4, pp. 787-793. Zbl0017.36101MR1503370
- [16] SCHUR, "Bemerkungen zur Theorie der beschrankter Bilinearformen mit unendlich vielen Veränderlichen", Journal fur die reine und angewandte, MATHEMATIK, 1911, 140, pp. 1-28. Zbl42.0367.01JFM42.0367.01
- [17] TORGERSON, "Theory and methods of scaling", New York, Wiley, 1958.
- [18] YOUNG, HOUSEHOLDER, "Discussion of a set of points in terms of their mutual distances", Psychometrika, 3, 1938, pp.19-22. Zbl64.1302.04JFM64.1302.04
- [19] ZEGERS, "Two classes of elementwise transformations preserving the PSD nature of coefficients matrices", J. Classification, 1986, Vol. 3, n° 1, pp. 49-54. Zbl0592.62049MR845456
- [1] BLUMENTAL, "New theorems and methods in determinant theory", Duke Math. J., 1936, Vol. 2, pp. 396-404. MR1545930JFM62.0053.03
- [2] BROSSIER, "Problèmes de représentation de données par des arbres", Thèse d'Etat, Université de RENNES 2, 1986.
- [3] BROSSIER, LE CALVE, "Analyse des dissimilarités sous l'éclairage √D. Application à la recherche d'arbres additifs optimaux", in : Data analysis and informatics IV Diday et al. North Holland, 1985. Zbl0635.62062
- [4] CAILLEZ, "The analytical solution of the additive constant problem", Psychometrika, 1983, Vol. 48, n° 2, pp. 305-308. Zbl0534.62079MR721286
- [5] FRECHET, "Sur la définition axiomatique d'une classe d'espaces vectoriels distanciés applicables vectoriellement sur l'espace de Hilbert", Ann. Math. 1935, 36, pp. 705-718. Zbl0012.30701JFM61.0435.03
- [6] FICHET, LE CALVE, "Structure géométrique des principaux indices de dissimilarité sur signes de présence absence", Statistiques et Analyse des données, 1984, Vol. y, n° 3, pp. 11-44. Zbl0579.62045MR920345
- [7] GOWER, "Measures of similarity, dissimilarity and distance", in Encyclopedia of statistical sciences, 1985, Vol. 5, Eds. S. Kotz, N.L. Johnson and C.B. Read. New York, John Wiley and sons, pp. 397-405. MR793593
- [8] HADAMARD, "Leçons de géométrie élémentaire", 1931, Vol. 1, Paris. JFM32.0513.13
- [9] HOLMAN, "The relation between hierarchical and euclidean models for psychological distances", Psychometrika, 37, n° 4, 1972. Zbl0273.92007MR321560
- [10] LE CALVE, "Distances à centre", Statistiques et analyse des données", 1985, Vol. 10, n° 2, pp. 29-44. MR920339
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.