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Dissimilarities Between Trajectories of a Three-Way Longitudinal Data Set

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Advances in Data Science and Classification

Abstract

This paper deals with the problem of evaluating dissimilarities between trajectories in a three-way longitudinal data set (a set of multiple time series). The dissimilarity between trajectories is defined as a conic combination of the dissimilarities between trends, velocities and accelerations of the pair of trajectories. The coefficients of the linear combination are estimated maximizing its variance. The proposed methodology is applied on a real data set to classify trajectories of Italian regions by their employment dynamic.

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References

  • Carlier, A. (1986). Factor Analysis of Evolution and Cluster Methods on Trajectories, Proceedings of COMPSTAT’86, Physica-Verlag, Heidelberg Wien, 140–145.

    Google Scholar 

  • Calinski, R.B., Harabasz, J. (1974). A Dendrite Method for Cluster Analysis, Commun. Stat., 3, 1–27.

    Google Scholar 

  • Coppi R., Zannella F. (1978). L’Analisi Fattoriale di una Serie Temporale Multipla relativa alio stesso Insieme di Unità Statistiche, Proceedings of the Italian Statistical Society, Bologna, 61–9.

    Google Scholar 

  • ISTAT. Census of Agriculture and Census of Industry and Services (1951–1991).

    Google Scholar 

  • Kosmelj K. (1984). Means for Analysis of Space-Time Relationships, Proceedings of COMPSTAT’84, Physica-Verlag, Wien, 511–516.

    Google Scholar 

  • Milligan, G.W., Cooper, M.C. (1988). “A study of standardization of variable in cluster analysis”, Journal of Classification, 5, 181–204.

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© 1998 Springer-Verlag Berlin · Heidelberg

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D’Urso, P., Vichi, M. (1998). Dissimilarities Between Trajectories of a Three-Way Longitudinal Data Set. In: Rizzi, A., Vichi, M., Bock, HH. (eds) Advances in Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72253-0_80

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  • DOI: https://doi.org/10.1007/978-3-642-72253-0_80

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64641-9

  • Online ISBN: 978-3-642-72253-0

  • eBook Packages: Springer Book Archive

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