Geodesic
A Bayesian estimate of the risk of tick-borne diseases
Applications of Mathematics, Tome 49 (2004) no. 5, pp. 389-404.

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The paper considers the problem of estimating the risk of a tick-borne disease in a given region. A large set of epidemiological data is evaluated, including the point pattern of collected cases, the population map and covariates, i.e. explanatory variables of geographical nature, obtained from GIS. The methodology covers the choice of those covariates which influence the risk of infection most. Generalized linear models are used and AIC criterion yields the decision. Further, an empirical Bayesian approach is used to estimate the parameters of the risk model. Statistical properties of the estimators are investigated. Finally, a comparison with earlier results is discussed from the point of view of statistical disease mapping.
DOI : 10.1023/B:APOM.0000048119.55855.65
Classification : 62C12, 62G05, 62J12, 62P10
Keywords: Bayesian estimation; generalized linear model; epidemiological data; statistical properties 
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     title = {A {Bayesian} estimate of the risk of tick-borne diseases},
     journal = {Applications of Mathematics},
     pages = {389--404},
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Jiruše, Marek; Machek, Josef; Beneš, Viktor; Zeman, Petr. A Bayesian estimate of the risk of tick-borne diseases. Applications of Mathematics, Tome 49 (2004) no. 5, pp. 389-404. doi : 10.1023/B:APOM.0000048119.55855.65. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000048119.55855.65/

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