Abstract
In this paper a finite mixture model with a specific weights for each observation is introduced. The logistic transformation of these weights is modelled through a markovian field, with space autocorrelations of Gaussian type. This specification is particularly useful for desease mapping issues: some implementation difficulties are shortly discussed, together with the problem of the choice of the mixture’s components number.
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BESAG, J. and KOOPERBERG, C. (1995): On Conditional and Intrinsic Autore-gression, Biometrics, 82, 733–746.
BESAG, J. YORK, J. and MOLLIÈ A. (1991): Bayesian Image Restoration with Two Application in Spatial Statistics, Annals of the Institute of Statistical Mathematics, 43, 1–59.
BILANCIA. M. and POLLICE, A. (2000): A Multivariate Hierarchical Bayes GLM for Spatial Ecological Analysis. In: M. Bilancia, B. Cafarelli, F. Campobasso, A. Pollice: Alcuni Contributi Teorici ed Applicativi in tema di Statistica Spaziale. Quaderno n. 1/2000 del Dipartimento di Scienze Statistiche, Università degli Studi di Bari, 5–35.
BRESLOW, N.E. and CLAYTON, D. (1993): Approximate Inference in Generalised Linear Mixed Models. Journal of the American Statistical Association, 88, 9–25.
DELLAPORTAS, P., KARLIS, D. and XELALAKI, E. (1997): Bayesian Analysis of Finite Poisson Mixtures. Manuscript, Department of Statistics, Athens University of Economics and Business.
FERNANDEZ, C. and GREEN, P.J. (2000): Modelling Spatially Correlated Data Via Mixtures: a Bayesian Approach. Manuscript, University of Bristol.
GREEN, P.J. and RICHARDSON, S. (2000): Spatially Correlated Allocation Models for Count Data. Manuscipt, University of Bristol.
KNORR-HELD, L. and RASSER, G. (2000): Bayesian Detection of Cluster and Discontinuities in Disease Maps. Biometrics, 56, 13–21.
POLLICE, A. and BILANCIA, M. (2000): A Hierarchical Finite Mixture Model for Bayesian Classification in the Presence of Auxiliary Information. Metron, 58/3-4, 109–131.
SPIEGELHALTER, D.J., THOMAS, A., BEST, N. (2000): Winbugs Version 1.3 User manual, MRC Biostatistics Unit, University of Cambridge.
SPIEGELHALTER, D.J., BEST, N.G, CARLIN, B.P. and VAN DER LINDE, A. (2001): Bayesian Measures of Model Complexity and Fit. Technical Report 01/13, Division of Biostatistics, School of Public Health, University of Minnesota.
VIALLEFONT, V., RICHARDSON, S. and GREEN, P.J. (2000): Bayesian Analysis of Poisson Mixtures. Manuscript, Department of Statistics, University of Bristol.
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Bilancia, M., Pollice, A. (2004). A Spatial Clustering Hierarchical Model for Disease Mapping. In: Bock, HH., Chiodi, M., Mineo, A. (eds) Advances in Multivariate Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17111-6_17
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DOI: https://doi.org/10.1007/978-3-642-17111-6_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20889-1
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