Abstract
The basic tool, in Statistics like in many branches of experimental sciences concerned with the study of information expressed in observations, is comparison analysis: in the field of statistical modelling, comparison to a theoretical model, in exploratory data analysis (EDA), comparison between data.
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References
Al Ayoubi, B. (1991), Analyse des donnees de type M 1, These, Universite de Haute Bretagne, Rennes, France
Beninel, F. (1987), Problemes de representations spheriques des tableaux de dissimi- larite, These de 3eme cycle, Universite de Haute Bretagne, Rennes, France
Fichet, B., Le Calve, G. (1984), Structure geometrique des principaux indices de dis- similarite sur signes de presence-absence, Statist. Anal. Donnees, 9 (3), pp. 11–44
Frechet, M. (1935), Sur la definition axiomatique d’une classe d’espaces vectoriels dis- tances applicables vectoriellement sur l’espace de Hilbert, Ann. of Math., 36, pp. 705–718
Gower, J.C., Legendre, R (1986), Metric and Euclidean properties of dissimilarity co- efficients, J. Classification, 3, pp. 5-48. [3]
Joly, S., Le Calve, G. (1986), Metric and Euclidean properties of dissimilarity coeffi- cients, Statist. Anal. Donnees, 11, pp. 30–50
Joly, S., Le Calve, G. (1992), Realisable 0-1 matrices and city-block distance, Rapport de recherche 92-1, Laboratoire Analyse des Donnees, Universite de Haute Bretagne, Rennes, France
Kelly, J.B. (1968), Products of zero-one matrices, Canad. J. Math., 20, pp. 298–329
Kelly, J.B. (1972), Hypermetric spaces and metric transforms, In: Shisha, O., ed, Inequalities III, Academic Press, New York, pp. 149–158
Le Calve, G. (1987), L 1-embeddings of a data structure I,D, In: Dodge, Y., ed., Sta- tistical Data Analysis based on the L\-norm and Related Methods, North-Holland, Amsterdam, pp. 195–202
Le Calve, G. (1988), Similarities functions, In: Edwards, D., Raum, N.E., eds., Proceedings of COMPSTAT 88, Physica Verlag, Heidelberg, pp. 341–347
Schoenberg, I.J. (1937), On certain metric spaces arising from Euclidean spaces by a change of metric and their imbedding in Hilbert space, Ann. of Math 38, pp. 787–793
Schoenberg, I.J. (1938), Metric spaces and positive definite functions, Trans. Amer. Math. Soc., 44, pp. 522–536
Schur, J. (1911), Bemerkungen zur Theorie der beschrankter Bilinearformen mit un- endlich vielen Veranderlichen, J. Reine Angew. Math., 140, pp. 1–28
Torgerson, W.S. (1958), Theory and methods of scaling. Wiley, New York
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© 1994 Springer-Verlag New York, Inc.
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Joly, S., Le Calvé, G. (1994). Similarity functions. In: Van Cutsem, B. (eds) Classification and Dissimilarity Analysis. Lecture Notes in Statistics, vol 93. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2686-4_3
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DOI: https://doi.org/10.1007/978-1-4612-2686-4_3
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