2009
DOI: 10.1016/j.aap.2009.04.005
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Collision prediction models using multivariate Poisson-lognormal regression

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Cited by 200 publications
(84 citation statements)
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“…A second common approach is to use a mixing structure, in which one or more (typically) normally distributed random terms are introduced in the parameterization of the expected value of the discrete distribution (so that the expected value is not only a function of exogenous variables, but also includes one or more additive random terms within the exponentiation). If the same error term enters in the means of multiple count variables, this generates correlation (see Chib and Winkelmann, 2001, Lee et al, 2006, Park and Lord, 2007, Aguero-Valverde and Jovanis, 2009, and El-Basyouny and Sayed, 2009 for examples of such an approach). A similar, but slightly different mixing approach, has been used recently by Chiou and Fu (2012), who developed a multinomial-generalized Poisson model for the joint analysis of crash frequency and injury severity.…”
Section: Modeling Count Data By Typementioning
confidence: 99%
“…A second common approach is to use a mixing structure, in which one or more (typically) normally distributed random terms are introduced in the parameterization of the expected value of the discrete distribution (so that the expected value is not only a function of exogenous variables, but also includes one or more additive random terms within the exponentiation). If the same error term enters in the means of multiple count variables, this generates correlation (see Chib and Winkelmann, 2001, Lee et al, 2006, Park and Lord, 2007, Aguero-Valverde and Jovanis, 2009, and El-Basyouny and Sayed, 2009 for examples of such an approach). A similar, but slightly different mixing approach, has been used recently by Chiou and Fu (2012), who developed a multinomial-generalized Poisson model for the joint analysis of crash frequency and injury severity.…”
Section: Modeling Count Data By Typementioning
confidence: 99%
“…Several multivariate models have been employed such as multivariate spatial models (Song, 2004;Song et al, 2006), multivariate Poisson (MVP) models (Ma and Kockelman, 2006), and multivariate Poisson-lognormal (MVPLN) models (Park and Lord, 2007;Ma et al, 2008;Aguero-Valverde and Jovanis, 2009;El-Basyouny and Sayed, 2009). Compared to the univariate modelling approach, the multivariate models (i.e.…”
Section: Introductionmentioning
confidence: 99%
“…Leaving out important explanatory variables can result in biased parameter estimates and incorrect inferences, especially if the omitted variable is correlated with variables included in the model, which is often the case [43] [44] [45] [46].…”
Section: Common Problems With Crash Datamentioning
confidence: 99%