2010
DOI: 10.1016/j.trb.2009.12.019
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A Bayesian semi-parametric model to estimate relationships between crash counts and roadway characteristics

Abstract: The following paper is a pre-print and the final publication can be found in Transportation Research Part B 44 (5):699-715, 2010.Abstract: This paper uses a semi-parametric Poisson-gamma model to estimate the relationships between crash counts and various roadway characteristics, including curvature, traffic levels, speed limit and surface width. A Bayesian nonparametric estimation procedure is employed for the model's link function, substantially reducing the risk of a mis-specified model. It is shown via sim… Show more

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Cited by 32 publications
(16 citation statements)
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“…For the purpose of enriching the model flexibility and robustness and avoid mis-specifying parametric models, Bayesian semi-parametric or nonparametric models were introduced (Jara et al, 2011). Shively et al, (2010) adopted a Bayesian semi-parametric approach to analyze the relationships between crash counts and roadway characteristics. The nonparametric estimation procedure was employed for the model's link function and the results showed that the semi-parametric model was more robust compared to the standard parametric assumption.…”
Section: Bayesian Semi-parametric Modelsmentioning
confidence: 99%
“…For the purpose of enriching the model flexibility and robustness and avoid mis-specifying parametric models, Bayesian semi-parametric or nonparametric models were introduced (Jara et al, 2011). Shively et al, (2010) adopted a Bayesian semi-parametric approach to analyze the relationships between crash counts and roadway characteristics. The nonparametric estimation procedure was employed for the model's link function and the results showed that the semi-parametric model was more robust compared to the standard parametric assumption.…”
Section: Bayesian Semi-parametric Modelsmentioning
confidence: 99%
“…Poisson regression model was widely used in the past few decades as an introductory method of modeling the highway crash prediction because it can easily handle the nature of the crash frequency data counts, which are often described as random events, discrete, and non-negative integers, and often their distributions were found to be skewed, and close to the Poisson distribution rather than other distributions such as the normal distribution [2] [6] [29]. The Poisson model can be expressed as:…”
Section: -The Poisson Regression Modelmentioning
confidence: 99%
“…Multivariate regression techniques are often used to describe the dependence of a variable on explanatory variables, which include the parametric, nonparametric and semiparametric methods (Shively et al 2010;Shively, Sager 1999). The parametric approach assumes that response function could be expressed parametrically and is often used to describe the dependence of a variable on explanatory variables.…”
Section: An Overview Of Parametric Nonparametric and Semiparametric mentioning
confidence: 99%