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Semiparametric approach to point source modelling in epidemiology and criminology

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  • Alexandre Rodrigues
  • Peter Diggle
  • Renato Assuncao

Abstract

Summary. By treating the conditional approach that was suggested by Diggle and Rowlingson as a generalized additive model, we provide a semiparametric method for point process modelling with point source interventions. We illustrate the flexibility of this approach with two applications. The first is a reanalysis of an epidemiological case–control data set in which we compare the semiparametric fit with a previously reported parametric model. The second is an application to a complex intervention in the Brazilian city of Belo Horizonte, in which we show how the installation of 60 closed‐circuit television cameras has changed the spatial distribution of crimes within an area of high criminal activity.

Suggested Citation

  • Alexandre Rodrigues & Peter Diggle & Renato Assuncao, 2010. "Semiparametric approach to point source modelling in epidemiology and criminology," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(3), pages 533-542, May.
    • Handle: RePEc:bla:jorssc:v:59:y:2010:i:3:p:533-542
    DOI: 10.1111/j.1467-9876.2009.00708.x
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    References listed on IDEAS

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    1. Peter J. Diggle, 1990. "A Point Process Modelling Approach to Raised Incidence of a Rare Phenomenon in the Vicinity of a Prespecified Point," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 153(3), pages 349-362, May.
    2. Crainiceanu, Ciprian M. & Ruppert, David & Wand, Matthew P., 2005. "Bayesian Analysis for Penalized Spline Regression Using WinBUGS," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 14(i14).
    3. Peter Diggle & Sara Morris & Paul Elliott & Gavin Shaddick, 1997. "Regression Modelling of Disease Risk in Relation to Point Sources," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 160(3), pages 491-505, September.
    4. Peter Diggle & Pingping Zheng & Peter Durr, 2005. "Nonparametric estimation of spatial segregation in a multivariate point process: bovine tuberculosis in Cornwall, UK," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(3), pages 645-658, June.
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    1. Álvaro Briz‐Redón & Jorge Mateu & Francisco Montes, 2022. "Identifying crime generators and spatially overlapping high‐risk areas through a nonlinear model: A comparison between three cities of the Valencian region (Spain)," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 76(1), pages 97-120, February.

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