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Statistical Modelling pp 157–164Cite as

Modelling Transition Probabilities in the Analysis of Aggregated Data

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Part of the book series: Lecture Notes in Statistics ((LNS,volume 57))

Summary

Models for transition probabilities introduced by Brown and Payne (1986) are reconsidered within the framework of correlated generalized linear models. In this environment, effects of factors and covariates on overdispersion (as well as on transition probabilities) can be investi-gated in a flexible manner. An application to Italian electoral data is discussed in some detail and the main features of a maximization routine based on the Fisher scoring algorithm are also outlined.

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References

  • Beale, E. M. L. (1988) Introduction to optimization. New York: Wiley.

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  • Brown, P. J. and Payne, C. D. (1986) Aggregate data, ecological regression and voting transitions.Journ. Amer. Statist. Ass., 81, 452–460.

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  • Firth, D. (1982) Estimation of voter transition matrices from election data. PhD thesis, Imperial College (London SW7), Dept. of Mathematics.

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  • MacRae, E. C. (1977) Estimation of time varying Markov processes with aggregate data.Econometrica, 45, 183–198.

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  • Mosimann, J. E. (1962) On the compound multinomial distribution, the multivariateß-distribution and correlations among proportions.Biometrika, 49, 65–82.

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Author information

Authors and Affiliations

  1. University of Perugia, Italy

    A. Forcina

  2. University of Parma, Italy

    G. M. Marchetti

Authors
  1. A. Forcina
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  2. G. M. Marchetti
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Editor information

Editors and Affiliations

  1. Istituto di Biometria e Statistica Medica, Via Venezian, 1, 20133, Milano, Italy

    Adriano Decarli

  2. Centre for Applied Statistics, Fylde College, Lancaster University, LA1 4YF, Lancaster, UK

    Brian J. Francis

  3. Polytechnic of North London, Holloway Road, N7 8DB, London, UK

    Robert Gilchrist

  4. Insitut für Statistik, Universität Innsbruck, Innrain 52, 6020, Innsbruck, Austria

    Gilg U. H. Seeber

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© 1989 Springer-Verlag Berlin Heidelberg

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Cite this paper

Forcina, A., Marchetti, G.M. (1989). Modelling Transition Probabilities in the Analysis of Aggregated Data. In: Decarli, A., Francis, B.J., Gilchrist, R., Seeber, G.U.H. (eds) Statistical Modelling. Lecture Notes in Statistics, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3680-1_18

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  • DOI: https://doi.org/10.1007/978-1-4612-3680-1_18

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97097-4

  • Online ISBN: 978-1-4612-3680-1

  • eBook Packages: Springer Book Archive

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