Evaluating crash type covariances and roadway geometric marginal effects using the multivariate Poisson gamma mixture model

Analytic Methods in Accident Research

Volumn 9, Issue , 2016, Pages 16-26

  Mothafer, Ghasak I M A ^a   Yamamoto, Toshiyuki ^a   Shankar, Venkataraman N ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b The Pennsylvania State University   (United States)

Author keywords

Covariances; Crash types; Multivariate count data; Poisson gamma mixture

Indexed keywords

DISPERSIONS; MAXIMUM LIKELIHOOD; MIXTURES;

COUNT DATUM; COVARIANCES; CRASH TYPE; DISPERSION PARAMETERS; MAXIMUM LIKELIHOOD APPROACHES; MULTIVARIATE MODELING; POISSON GAMMAS; POSITIVE CORRELATIONS;

HIGHWAY ACCIDENTS;

EID: 84950105872     PISSN: 22136657     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amar.2015.11.001     Document Type: Article

References (32)

1. P.C. Anastasopoulos, V.N. Shankar, J.E. Haddock, and F.L. Mannering A multivariate tobit analysis of highway accident-injury-severity rates Accid. Anal. Prev. 45 2012 110 119
2. Aptech Gauss 3.5 Aptech Systems 1998 Maple Valley Washington
3. C.R. Bhat, K. Born, R. Sidharthan, and P.C. Bhat A count data model with endogenous covariates: formulation and application to roadway crash frequency at intersections Anal. Methods Accid. Res. 1 2014 53 71
4. C. Cameron, and P. Trivedi Econometric models based on count data: comparisons and applications of some estimators and tests J. Appl. Econ. 1 1 1986 29 53
5. M. Castro, R. Paleti, and C.R. Bhat A latent variable representation of count data models to accommodate spatial and temporal dependence: application to predicting crash frequency at intersections Transp. Res. Part B 46 1 2012 253 272
6. M. Castro, R. Paleti, and C.R. Bhat A spatial generalized ordered response model to examine highway crash injury severity Accid. Anal. Prev. 52 2013 188 203
7. Y.C. Chiou, and C. Fu Modeling crash frequency and severity using multinomial-generalized Poisson model with error components Accid. Anal. Prev. 50 2013 73 82
8. A. Das, and M.A. Abdel-Aty A combined frequency-severity approach for the analysis of rear-end crashes on urban arterials Saf. Sci. 49 8-9 2011 1156 1163
9. D.K. Dey, and Y. Chung Compound Poisson distributions: properties and estimation Commun. Stat. Theory Methods 21 1992 3097 3121
10. S. Dissanayake, and J. Lu Factors influential in making an injury severity difference to older drivers involved in fixed object-passenger car crashes Accid. Anal. Prev. 34 5 2002 609 618
11. C. Dong, D.B. Clarke, X. Yan, A. Khattak, and B. Huang Multivariate random-parameters zero-inflated negative binomial regression model: an application to estimate crash frequencies at intersections Accid. Anal. Prev. 70 2014 320 329
12. K. El-Basyouny, and T. Sayed Collision prediction models using multivariate Poisson-lognormal regression Accid. Anal. Prev. 41 4 2009 820 828
13. K. Gkritza, C.R. Kinzenbaw, S. Hallmark, and N. Hawkins An empirical analysis of farm vehicle crash injury severities on Iowa's public road system Accid. Anal. Prev. 42 4 2010 1392 1397
14. S. Gurmu, and J. Elder Generalized bivariate count data regression models Econ. Lett. 68 2000 31 36
15. J. Hausman, B.H. Hall, and Z. Griliches. Econometric models for count data with an application to the patents - R&D relationship Econometrica 52 1984 909 938
16. K.M. Kockelman A model for time- and budget- constrained activity demand analysis Transp. Res. Part B 35 2001 225 269
17. D. Lord, and F. Mannering The statistical analysis of crash-frequency data: a review and assessment of methodological alternatives Transp. Res. Part A 44 5 2010 291 305
18. D. Lord, S.P. Washington, and J.N. Ivan Poisson, Poisson-gamma and zero-inflated regression models for motor vehicle crashes: balancing statistical fit and theory Accid. Anal. Prev. 37 2005 35 46
19. J. Ma, K.M. Kockelman, and P. Damien A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods Accid. Anal. Prev. 40 3 2008 964 975
20. J. Ma, and K.M. Kockelman Bayesian multivariate Poisson regression for models of injury count by severity Transp. Res. Rec. 1950 2006 24 34
21. F.L. Mannering, and C.R. Bhat Analytic methods in accident research: methodological frontier and future directions Anal. Methods Accid. Res. 1 2014 1 22
22. D. Miles Joint purchasing decisions: a multivariate negative binomial approach Appl. Econ. 33 2001 937 946
23. E.S. Park, and D. Lord Multivariate Poisson-lognormal models for jointly modeling crash frequency by severity Transp. Res. Rec. 2019 2007 1 6
24. M.S.B. Shaheed, K. Gkritza, W. Zhang, and Z. Hans A mixed logit analysis of two-vehicle crash severities involving a motorcycle Accid. Anal. Prev. 61 2013 119 128
25. V. Shankar, J. Milton, and F. Mannering Modeling accident frequencies as zero-altered probability processes: an empirical inquiry Accid. Anal. Prev. 29 6 1997 829 837
26. V. Shankar, F. Mannering, and W. Barfield Statistical analysis of accident severity on rural freeways Accid. Anal. Prev. 28 3 1996 391 401
27. R. Winkelmann Econometric Analysis of Count Data fifth edition 2008 Springer-Verlag Berlin Heidelberg 333
28. X. Yan, M. Ma, H. Huang, M. Abdel-Aty, and C. Wu Motor vehicle-bicycle crashes in Beijing: irregular maneuvers, crash patterns, and injury severity Accid. Anal. Prev. 43 5 2011 1751 1758
29. Z. Yang, L. Zhibin, L. Pan, and Z. Liteng Exploring contributing factors to crash injury severity at freeway diverge areas using ordered probit model Procedia Eng. 21 2011 178 185
30. S. Yasmin, N. Eluru, C.R. Bhat, and R. Tay A latent segmentation based generalized ordered logit model to examine factors influencing driver injury severity Anal. Methods Accid. Res. 1 2014 23 38
31. X. Ye, R.M. Pendyala, V. Shankar, and K.C. Konduri A simultaneous equations model of crash frequency by severity level for freeway sections Accid. Anal. Prev. 57 2013 140 149
32. X. Ye, R.M. Pendyala, S.P. Washington, K. Konduri, and J. Oh A simultaneous equations model of crash frequency by collision type for rural intersections Saf. Sci. 47 3 2009 443 452