2015
DOI: 10.1007/978-3-319-12529-9
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The Art of Regression Modeling in Road Safety

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Cited by 111 publications
(189 citation statements)
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“…The Poisson distribution has often been used to model the probability that an event occurs given a certain incident rate, 位. Several studies determined that the Poisson distribution can be used to approximate count incident generation when the incident rate is small (32)(33)(34)(35). However, the observed total runway incursions for this study showed that the sample mean was 3.8 and the variance 18.7 (variance greater than the mean).…”
Section: Model Developmentmentioning
confidence: 62%
See 1 more Smart Citation
“…The Poisson distribution has often been used to model the probability that an event occurs given a certain incident rate, 位. Several studies determined that the Poisson distribution can be used to approximate count incident generation when the incident rate is small (32)(33)(34)(35). However, the observed total runway incursions for this study showed that the sample mean was 3.8 and the variance 18.7 (variance greater than the mean).…”
Section: Model Developmentmentioning
confidence: 62%
“…Instead, the negative binomial distribution is used. Two fundamental assumptions are made in modeling with the negative binomial distribution: (a) runway incursions are Poisson distributed and (b) the populations of means are gamma distributed (35). However, for longitudinally clustered count data, such as the number of runway incursions from a set of airports, the observations from the same airports may not be mutually independent because some of the measured airport traits, such as the number of operations or weather, fluctuate over time.…”
Section: Model Developmentmentioning
confidence: 99%
“…The Poisson distribution has been used in accident modeling since the work of L. von Bortkiewitcz who, in 1989, undertook analyses of the number of deaths by horse-kicks over a period of 20 years (Hauer, 2015). Because of its practicality, research has commonly used this distribution to estimate the SPF (Bezerra, Silva, Bastos, & Ferraz, 2011;Caliendo, Guida, & Parisi, 2007;Jovanis & Chang, 1986;Miao, 1993).…”
Section: Crash Prediction Analysismentioning
confidence: 99%
“…Although it represents a good starting point to fit safety models, the simple application of the Poisson distribution has had some inconveniencies on real transportation systems due to the nature of the crash generation process (Hauer, 2015;Lord & Mannering, 2010). The Negative Binomial regression is largely used (Ackaah & Salifu, 2011;Cafiso, Di Graziano, Di Silvestro, La Cava, & Persaud, 2010;Harwood et al, 2000;Lord & Persaud, 2000;McCullagh & Nelder, 1989;Srinivasan & Bauer, 2013) because of the possibility of accounting for the overdispersion of crash frequency.…”
Section: Crash Prediction Modelsmentioning
confidence: 99%
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