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Bayesian multivariate spatial models for roadway traffic crash mapping


  • Song, J.J.
  • Ghosh, M.
  • Miaou, S.
  • Mallick, B.


We consider several Bayesian multivariate spatial models for estimating the crash rates from different kinds of crashes. Multivariate conditional autoregressive (CAR) models are considered to account for the spatial effect. The models considered are fully Bayesian. A general theorem for each case is proved to ensure posterior propriety under noninformative priors. The different models are compared according to some Bayesian criterion. Markov chain Monte Carlo (MCMC) is used for computation. We illustrate these methods with Texas Crash Data.

Suggested Citation

  • Song, J.J. & Ghosh, M. & Miaou, S. & Mallick, B., 2006. "Bayesian multivariate spatial models for roadway traffic crash mapping," Journal of Multivariate Analysis, Elsevier, vol. 97(1), pages 246-273, January.
  • Handle: RePEc:eee:jmvana:v:97:y:2006:i:1:p:246-273

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    References listed on IDEAS

    1. Mardia, K. V., 1988. "Multi-dimensional multivariate Gaussian Markov random fields with application to image processing," Journal of Multivariate Analysis, Elsevier, vol. 24(2), pages 265-284, February.
    2. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika van der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639.
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    Cited by:

    1. Ricardo A. Daziano & Luis Miranda-Moreno & Shahram Heydari, 2013. "Computational Bayesian Statistics in Transportation Modeling: From Road Safety Analysis to Discrete Choice," Transport Reviews, Taylor & Francis Journals, vol. 33(5), pages 570-592, September.
    2. Lord, Dominique & Mannering, Fred, 2010. "The statistical analysis of crash-frequency data: A review and assessment of methodological alternatives," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(5), pages 291-305, June.
    3. repec:eee:reensy:v:94:y:2009:i:4:p:855-860 is not listed on IDEAS
    4. repec:bla:jorssa:v:180:y:2017:i:1:p:119-139 is not listed on IDEAS
    5. Peter Congdon, 2008. "The need for psychiatric care in England: a spatial factor methodology," Journal of Geographical Systems, Springer, vol. 10(3), pages 217-239, September.


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