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An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification. II

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Classification and Dissimilarity Analysis

Part of the book series: Lecture Notes in Statistics ((LNS,volume 93))

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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

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References

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  • 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.

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© 1994 Springer-Verlag New York, Inc.

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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

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  • 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

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