Abstract
This paper focuses on the problem of forecasting a classification given a panel data set formed by a (multiple) time series of partitions of a same set of units. As far as we know, in classification and time series analysis this is a completely new problem. A methodology based on a vector autoregressive model is here proposed to directly forecast a partition given a (multiple) time series of partitions with the same fixed number of classes for each time. Two real panel data have been analysed with this new procedure. Open problems are discussed in a final section.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bailar, A. B. (1989): Information needs, surverys and measurement errors, Panel surveys, D. Kasprzyk, G. J. Duncan, G. Kalton, M. P. Singh, Willey.
Ball, G.H., and Hall, D.J. (1967): A Clustering Technique for Summarizing Multivariate Data, Behavioral Science, 12, 153–155.
Barthélemy, J.P., and Monjardet, B. (1981): “The median procedure in cluster analysis and social choice theory,” Mathematical Social Sciences, 1, 235–267.
Calinski, T. & Harabasz J. (1974), A Dendride Method for Cluster Analysis, Communications in Statistics, 3, 1–27.
Cucumel, G. (1990): Construction d’une hiérarchie consensus à l’aide d’une ultrametrique centrale, in: Recuel des Textes des Présentations du Colloque sur les Méthodes et Domaines d’Application de la Statistique 1990, Bureau de la Statistique du Québec, Québec, 235–243.
Gordon, A. D., and Vichi, M. (1997): Partitions of Partitions, to appear on Journal of Classification.
Lütkepohl, H. (1991): Introduction to Multiple Time Series Analysis,Springer Verlag Berlin.
MacQueen, J. B. (1967): Some methods for classification and analysis of multivariate observations. In Proceeding of the 5th Berkeley Symposium in Mathematical Statistics and Probability, University of California Press, Berkeley, USA, 281–297.
Milligan, G. W. & Cooper, M (1985): An examination of procedures for determining the number of clusters in data set, in Psychometrika, vol. 50, n. 2, 157–179.
Rizzi, A. & Vichi, M. (1995): The Thee-way data set analysis. In Some relations between matrices and structures of multidimensional data analysis, Giardini Editori e Stampatori in Pisa, 93–166.
Vichi, M. (1993): Un algoritmo dei minimi quadrati per interpolare un insieme di classificazioni gerarchiche con una classificazione consenso, Metron, 51, 139–163.
Zani, S. (1981): Osservazioni sulle serie storiche multiple e 1’analisi dei gruppi. In Analisi Moderna delle Serie Storiche, Atti del Convegno nazionale, Napoli, 1922 maggio, Franco Angeli Editore, 263–274.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Iezzi, D.F., Vichi, M. (1999). Forecasting a Classification. In: Vichi, M., Opitz, O. (eds) Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60126-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-60126-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65633-3
Online ISBN: 978-3-642-60126-2
eBook Packages: Springer Book Archive