Effects of low sample mean values and small sample size on the estimation of the fixed dispersion parameter of Poisson-gamma models for modeling motor vehicle …

D Lord, LF Miranda-Moreno - Safety Science, 2008 - Elsevier
There has been considerable research conducted on the development of statistical models
for predicting motor vehicle crashes on highway facilities. Over the last few years, there has …

Modeling motor vehicle crashes using Poisson-gamma models: Examining the effects of low sample mean values and small sample size on the estimation of the fixed …

D Lord - Accident Analysis & Prevention, 2006 - Elsevier
There has been considerable research conducted on the development of statistical models
for predicting crashes on highway facilities. Despite numerous advancements made for …

Investigating the effects of the fixed and varying dispersion parameters of Poisson-gamma models on empirical Bayes estimates

D Lord, PYJ Park - Accident Analysis & Prevention, 2008 - Elsevier
Traditionally, transportation safety analysts have used the empirical Bayes (EB) method to
improve the estimate of the long-term mean of individual sites; to correct for the regression-to …

Fast Bayesian inference for modeling multivariate crash counts

V Serhiyenko, SA Mamun, JN Ivan… - Analytic methods in …, 2016 - Elsevier
This paper investigates the multivariate Poisson Lognormal modeling of counts for different
types of crashes. This multivariate model can account for the overdispersion as well as …

Full Bayes Poisson gamma, Poisson lognormal, and zero inflated random effects models: Comparing the precision of crash frequency estimates

J Aguero-Valverde - Accident Analysis & Prevention, 2013 - Elsevier
In recent years, complex statistical modeling approaches have being proposed to handle the
unobserved heterogeneity and the excess of zeros frequently found in crash data, including …

Investigating the effect of modeling single-vehicle and multi-vehicle crashes separately on confidence intervals of Poisson–gamma models

SR Geedipally, D Lord - Accident Analysis & Prevention, 2010 - Elsevier
Crash prediction models still constitute one of the primary tools for estimating traffic safety.
These statistical models play a vital role in various types of safety studies. With a few …

A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods

J Ma, KM Kockelman, P Damien - Accident Analysis & Prevention, 2008 - Elsevier
Numerous efforts have been devoted to investigating crash occurrence as related to
roadway design features, environmental factors and traffic conditions. However, most of the …

Multi-level Bayesian analyses for single-and multi-vehicle freeway crashes

R Yu, M Abdel-Aty - Accident Analysis & Prevention, 2013 - Elsevier
This study presents multi-level analyses for single-and multi-vehicle crashes on a
mountainous freeway. Data from a 15-mile mountainous freeway section on I-70 were …

Bayesian multivariate Poisson lognormal models for crash severity modeling and site ranking

J Aguero-Valverde, PP Jovanis - Transportation research …, 2009 - journals.sagepub.com
Traditionally, highway safety analyses have used univariate Poisson or negative binomial
distributions to model crash counts for different levels of crash severity. Because …

Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory

D Lord, SP Washington, JN Ivan - Accident Analysis & Prevention, 2005 - Elsevier
There has been considerable research conducted over the last 20 years focused on
predicting motor vehicle crashes on transportation facilities. The range of statistical models …