Abstract
In chapter 4 of this book, the simple but general Theorem 4.5.1 was established and shown to have a variety of important applications in mathematical classification. In particular, it was seen to unify and generalise four bijections reported in the literature concerning dendrograms and generalised dendrograms, numerically stratified clusterings and residual maps
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Coppi, R., Bolasco, S. (1989), Multiway Data Analysis, North-Holland, Amsterdam.
Critchley, F. (1983), Ziggurats and dendrograms, Warwick Statistics Research Report n° 43, U.K.
Critchley, F., Van Cutsem, B. (1992), An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification — II, Joint Research Report, University of Warwick, U.K., and Université Joseph Fourier, Grenoble, France.
Critchley, F., Van Cutsem, B. (1994), An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification — I, In Van Cutsem, B., ed., Classification and Dissimilarity Analysis, Ch. 4, Lecture Notes in Statistics, Springer-Verlag, New York.
Jardine, N., Sibson, R. (1971), Mathematical Taxonomy, Wiley, London.
Van Cutsem, B. (1983a), Décomposition D’une ultramétrique: ultrametriques simples et semi-simples, Rapport de Recherche nº 388, Laboratoire IMAG, Grenoble, France
Van Cutsem, B. (1983b), Ultramétriques, distances, ø-distances maximum dominées par une dissimilarite donnee, Statist. Anal. Données, 8, pp. 42–63
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Critchley, F., Cutsem, B.V. (1994). An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification. II. 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_5
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2686-4_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94400-5
Online ISBN: 978-1-4612-2686-4
eBook Packages: Springer Book Archive