Multivariate random parameters zero-inflated negative binomial regression for analyzing urban midblock crashes

Aguero-Valverde, 2010, Bayesian multivariate Poisson lognormal models for crash severity modeling and site ranking, Transportation Research Record, 2136, 82, 10.3141/2136-10 Alarifi, 2017, Crash modeling for intersections and segments along corridors: a Bayesian multilevel joint model with random parameters, Analytic Methods in Accident Research, 16, 48, 10.1016/j.amar.2017.08.002 Anastasopoulos, 2016, Random parameters multivariate tobit and zero-inflated count data models: addressing unobserved and zero-state heterogeneity in accident injury-severity rate and frequency analysis, Analytic Methods in Accident Research, 11, 17, 10.1016/j.amar.2016.06.001 Anastasopoulos, 2012, A multivariate tobit analysis of highway accident-injury-severity rates, Accident Analysis and Prevention, 45, 110, 10.1016/j.aap.2011.11.006 Anderson, 2017, Roadway classifications and the accident injury severities of heavy-vehicle drivers, Analytic Methods in Accident Research, 15, 17, 10.1016/j.amar.2017.04.002 Barua, 2014, A full Bayesian multivariate count data model of collision severity with spatial correlation, Analytic Methods in Accident Research, 3–4, 28, 10.1016/j.amar.2014.09.001 Barua, 2015, Effects of spatial correlation in random parameters collision count-data models, Analytic Methods in Accident Research, 5–6, 28, 10.1016/j.amar.2015.02.001 Barua, 2016, Multivariate random parameters collision count data models with spatial heterogeneity, Analytic Methods in Accident Research, 9, 1, 10.1016/j.amar.2015.11.002 Behnood, 2017, The effect of passengers on driver-injury severities in single-vehicle crashes: a random parameters heterogeneity-in-means approach, Analytic Methods in Accident Research, 14, 41, 10.1016/j.amar.2017.04.001 Behnood, 2017, Determinants of bicyclist injury severities in bicycle-vehicle crashes: a random parameters approach with heterogeneity in means and variances, Analytic Methods in Accident Research, 16, 35, 10.1016/j.amar.2017.08.001 Behnood, 2016, An empirical assessment of the effects of economic recessions on pedestrian-injury crashes using mixed and latent-class models, Analytic Methods in Accident Research, 12, 1, 10.1016/j.amar.2016.07.002 Bhat, 2017, A new spatial and flexible multivariate random-coefficients model for the analysis of pedestrian injury counts by severity level, Analytic Methods in Accident Research, 16, 1, 10.1016/j.amar.2017.05.001 Bonneson, 1997, Effect of median treatment on urban arterial safety an accident prediction model, Transportation Research Record, 1581, 27, 10.3141/1581-04 Boulieri, 2017, A space–time multivariate Bayesian model to analyse road traffic accidents by severity, Journal of the Royal Statistical Society Series A, 180, 119, 10.1111/rssa.12178 Chen, 2014, Modeling safety of highway work zones with random parameters and random effects models, Analytic Methods in Accident Research, 1, 86, 10.1016/j.amar.2013.10.003 Chen, 2017, Impact of road-surface condition on rural highway safety: a multivariate random parameters negative binomial approach, Analytic Methods in Accident Research, 16, 75, 10.1016/j.amar.2017.09.001 Coruh, 2015, Accident analysis with the random parameters negative binomial panel count data model, Analytic Methods in Accident Research, 7, 37, 10.1016/j.amar.2015.07.001 Denwood, 2016, Runjags: an R package providing interface utilities, model templates, parallel computing methods and additional distributions for MCMC models in JAGS, Journal of Statistical Software, 71, 1, 10.18637/jss.v071.i09 Dong, 2014, Multivariate random-parameters zero-inflated negative binomial regression model: an application to estimate crash frequencies at intersections, Accident Analysis and Prevention, 70, 320, 10.1016/j.aap.2014.04.018 Dong, 2014, Examining signalized intersection crash frequency using multivariate zero-inflated Poisson regression, Safety Science, 70, 63, 10.1016/j.ssci.2014.05.006 Dumbaugh, 2006, Design of safe urban roadsides: an empirical analysis, Transportation Research Record, 1961, 74, 10.3141/1961-09 El-Basyouny, 2009, Collision prediction models using multivariate Poisson-lognormal regression, Accident Analysis and Prevention, 41, 820, 10.1016/j.aap.2009.04.005 Elvik, 1999, Incomplete accident reporting: meta-analysis of studies made in 13 countries, Transportation Research Record, 1665, 133, 10.3141/1665-18 Federal Highway Administration, 2013. Highway functional classification concepts, criteria and procedures. FHWA-PL-12-026. Washington DC. Ferreira, 2015, A probabilistic approach towards a crash risk assessment of urban segments, Transportation Research Part C, 50, 97, 10.1016/j.trc.2014.09.012 Fountas, 2017, A random thresholds random parameters hierarchical ordered probit analysis of highway accident injury-severities, Analytic Methods in Accident Research, 15, 1, 10.1016/j.amar.2017.03.002 Greibe, 2003, Accident prediction models for urban roads, Accident Analysis and Prevention, 35, 273, 10.1016/S0001-4575(02)00005-2 Harwood, 1990 Hauer, 1988, Extent and some implications of incomplete accident reporting, Transportation Research Record, 1185, 1 Huang, 2008, Severity of driver injury and vehicle damage in traffic crashes at intersections: a Bayesian hierarchical analysis, Accident Analysis and Prevention, 40, 45, 10.1016/j.aap.2007.04.002 Huang, 2017, A multivariate spatial model of crash frequency by transportation modes for urban intersections, Analytic Methods in Accident Research, 14, 10, 10.1016/j.amar.2017.01.001 Johnson, 1997 Lambert, 1992, Zero-inflated Poisson regression, with an application to defects in manufacturing, Technometrics, 34, 1, 10.2307/1269547 Lee, 2015, Development of crash modification factors for changing lane width on roadway segments using generalized nonlinear models, Accident Analysis and Prevention, 76, 83, 10.1016/j.aap.2015.01.007 Lee, 2011, Analysis of midblock crashes in an urban divided arterial road, Journal of Transportation Safety & Security, 4, 1, 10.1080/19439962.2011.607938 Li, 1999, Multivariate zero-inflated Poisson models and their applications, Technometrics, 41, 29, 10.1080/00401706.1999.10485593 Liu, C., Gyawali, S., Sharma, A., Smaglik, E., 2015. A methodological approach for spatial and temporal analysis of red light running citations and crashes: a case-study in Lincoln, Nebraska. Transportation Research Board 94th Annual Meeting, Washington, D.C., USA. Liu, 2017, Exploring spatio-temporal effects in traffic crash trend analysis, Analytic Methods in Accident Research, 16, 104, 10.1016/j.amar.2017.09.002 Liu, 2018, Using the multivariate spatio-temporal Bayesian model to analyze traffic crashes by severity, Analytic Methods in Accident Research, 17, 14, 10.1016/j.amar.2018.02.001 Lord, 2010, The statistical analysis of crash-frequency data: a review and assessment of methodological alternatives, Transportation Research Part A, 44, 291 Lord, 2005, Poisson, Poisson-Gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory, Accident Analysis and Prevention, 37, 35, 10.1016/j.aap.2004.02.004 Ma, 2006, Bayesian multivariate Poisson regression for models of injury count, by severity, Transportation Research Record, 1950, 24, 10.3141/1950-04 Ma, 2008, A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods, Accident Analysis and Prevention, 40, 964, 10.1016/j.aap.2007.11.002 Ma, 2017, Multivariate space-time modeling of crash frequencies by injury severity levels, Analytic Methods in Accident Research, 15, 29, 10.1016/j.amar.2017.06.001 Malyshkina, 2008, Effect of increases in speed limits on severities of injuries in accidents, Transportation Research Record, 2083, 122, 10.3141/2083-14 Malyshkina, 2010, Zero-state Markov switching count-data models: an empirical assessment, Accident Analysis and Prevention, 42, 122, 10.1016/j.aap.2009.07.012 Malyshkina, 2009, Markov switching negative binomial models: an application to vehicle accident frequencies, Accident Analysis and Prevention, 41, 217, 10.1016/j.aap.2008.11.001 Mannering, 2018, Temporal instability and the analysis of highway accident data, Analytic Methods in Accident Research, 17, 1, 10.1016/j.amar.2017.10.002 Mannering, 2016, Unobserved heterogeneity and the statistical analysis of highway accident data, Analytic Methods in Accident Research, 11, 1, 10.1016/j.amar.2016.04.001 Manuel, 2014, Investigating the safety effects of road width on urban collector roadways, Safety Science, 62, 305, 10.1016/j.ssci.2013.09.005 Miaou, 2003, Roadway traffic crash mapping a space-time modeling approach, Journal of Transportation and Statistics, 6, 33 Miaou, 2005, Bayesian ranking of sites for engineering safety improvements: decision parameter, treatability concept, statistical criterion, and spatial dependence, Accident Analysis and Prevention, 37, 699, 10.1016/j.aap.2005.03.012 MRC Biostatistics Unit, 2004. DIC: Deviance Information Criteria. https://www.mrc-bsu.cam.ac.uk/software/bugs/the-bugs-project-dic/ (accessed 8.23.17). Naik, 2016, Weather impacts on single-vehicle truck crash injury severity, Journal of Safety Research, 58, 57, 10.1016/j.jsr.2016.06.005 National Center for Statistics and Analysis, 2017 Osama, 2017, Investigating the effect of spatial and mode correlations on active transportation safety modeling, Analytic Methods in Accident Research, 16, 60, 10.1016/j.amar.2017.08.003 Pande, 2010, A classification tree based modeling approach for segment related crashes on multilane highways, Journal of Safety Research, 41, 391, 10.1016/j.jsr.2010.06.004 Park, 2016, Evaluation of safety effectiveness of multiple cross sectional features on urban arterials, Accident Analysis and Prevention, 92, 245, 10.1016/j.aap.2016.04.017 Plummer, 2002, Discussion of the paper by Spiegelhalter et al., Journal of the Royal Statistical Society Series B, 64, 620 Plummer, M., 2003. JAGS: a program for analysis of Bayesian graphical models using Gibbs sampling. Proceedings of the 3rd International Workshop on Distributed Statistical Computing (DSC 2003), Technische Universitat Wien, Vienna, Austria. Potts, 2007, Relationship of lane width to safety on urban and suburban arterials, Transportation Research Record, 2023, 63, 10.3141/2023-08 R Core Team, 2016 Renski, 1999, Effect of speed limit increases on crash injury severity: analysis of single-vehicle crashes on North Carolina interstate highways, Transportation Research Record, 1665, 100, 10.3141/1665-14 Rista, 2017, Examining the safety impacts of narrow lane widths on urban/suburban arterials: estimation of a panel data random parameters negative binomial model, Journal of Transportation Safety & Security, 1 Russo, 2014, Comparison of factors affecting injury severity in angle collisions by fault status using a random parameters bivariate ordered probit model, Analytic Methods in Accident Research, 2, 21, 10.1016/j.amar.2014.03.001 Sarwar, 2017, Grouped random parameters bivariate probit analysis of perceived and observed aggressive driving behavior: a driving simulation study, Analytic Methods in Accident Research, 13, 52, 10.1016/j.amar.2016.12.001 Sawalha, 2001, Evaluating safety of urban arterial roadways, Journal of Transportation Engineering, 127, 151, 10.1061/(ASCE)0733-947X(2001)127:2(151) Seraneeprakarn, 2017, Occupant injury severities in hybrid-vehicle involved crashes: a random parameters approach with heterogeneity in means and variances, Analytic Methods in Accident Research, 15, 41, 10.1016/j.amar.2017.05.003 Serhiyenko, 2016, Fast Bayesian inference for modeling multivariate crash counts, Analytic Methods in Accident Research, 9, 44, 10.1016/j.amar.2016.02.002 Sharma, A., Li, W., Zhao, M., Rilett, L.R., 2015. Safety and operational analysis of lane widths in mid-block segments and intersection approaches in the urban environment in Nebraska, Report No. SPR-P1(13) M327. Nebraska Department of Roads, Lincoln, NE. Spiegelhalter, 2002, Bayesian measures of model complexity and fit, Journal of the Royal Statistical Society Series B, 64, 583, 10.1111/1467-9868.00353 Usman, 2010, Quantifying safety benefit of winter road maintenance: accident frequency modeling, Accident Analysis and Prevention, 42, 1878, 10.1016/j.aap.2010.05.008 Venkataraman, 2014, A heterogeneity-in-means count model for evaluating the effects of interchange type on heterogeneous influences of interstate geometrics on crash frequencies, Analytic Methods in Accident Research, 2, 12, 10.1016/j.amar.2014.01.001 Wang, K., Zhao, S., Jackson, E., 2018. Multivariate Poisson lognormal modeling of weather related crashes on freeways. Transportation Research Record (Accepted). Wu, 2013, Safety impacts of signal-warning flashers and speed control at high-speed signalized intersections, Accident Analysis and Prevention, 54, 90, 10.1016/j.aap.2013.01.016 Xiong, 2014, The analysis of vehicle crash injury-severity data: a Markov switching approach with road-segment heterogeneity, Transportation Research Part B, 67, 109, 10.1016/j.trb.2014.04.007 Yamamoto, 2008, Underreporting in traffic accident data, bias in parameters and the structure of injury severity models, Accident Analysis and Prevention, 40, 1320, 10.1016/j.aap.2007.10.016 Yannis, 2014, Modeling road accident injury under-reporting in Europe, European Transport Research Review, 6, 425, 10.1007/s12544-014-0142-4 Zeng, 2014, Bayesian spatial joint modeling of traffic crashes on an urban road network, Accident Analysis and Prevention, 67, 105, 10.1016/j.aap.2014.02.018 Zhan, 2015, An efficient parallel sampling technique for multivariate Poisson-lognormal model: analysis with two crash count datasets, Analytic Methods in Accident Research, 8, 45, 10.1016/j.amar.2015.10.002 Zhang, 2012, Crash frequency analysis of different types of urban roadway segments using generalized additive model, Journal of Safety Research, 43, 107, 10.1016/j.jsr.2012.01.003 Zhao, 2017, Multivariate Poisson-lognormal model for analysis of crashes on urban signalized intersections approach, Journal of Transportation Safety & Security, 1, 10.1080/19439962.2017.1323061 Zhao, 2015, Motor vehicle drivers’ injuries in train–motor vehicle crashes, Accident Analysis and Prevention, 74, 162, 10.1016/j.aap.2014.10.022 Zhao, 2017, Injury severity in crashes reported in proximity of rail crossings: the role of driver inattention, Journal of Transportation Safety & Security, 1, 10.1080/19439962.2017.1323061