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

Lord, Dominique, Washington, Simon P., Ivan, John N.·2005·Accident Analysis & Prevention

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Research works printed but not linked: 40

  1. Abbess, 1981, Accidents at blackspots: estimating the effectiveness of remedial treatment, with special reference to the “regression-to-mean” effect, Traffic Eng.Cont., 22, 535
  2. Amoros, 2003, Comparison of road crashes incidence and severity between some French counties, Accid. Anal. Prev., 35, 349, 10.1016/S0001-4575(02)00031-3 · DOI
  3. Baker, 1994, The multinomial-Poisson transformation, The Statistician, 43, 495, 10.2307/2348134 · DOI
  4. Brown, B., Baass, K.A., 1995. Projet d’identification des sites dangereux sur les routes numérotées en Montérégie, vol. 1: Synthèse. Direction de la santé publique. St-Hubert, Quebec (in French).
  5. Cragg, 1971, Some statistical models for limited dependent variables with application to the demand for durable goods, Econometrica, 39, 829, 10.2307/1909582 · DOI · Paper page
  6. Dalal, 1990, Empirical bayes prediction for compound Poisson-multinomial process, Statistic Probability Lett., 9, 385, 10.1016/0167-7152(90)90029-7 · doi:10.1016/0167-7152(90)90029-7
  7. Drezner, 1993, A generalized binomial distribution, Comm. Statist.: Theory Methods, 22, 3051, 10.1080/03610929308831202 · doi:10.1080/03610929308831202
  8. Ghosh, 1998, Generalized linear models for small area estimation, J. Amer. Statistical Assoc., 93, 273, 10.1080/01621459.1998.10474108 · DOI · Paper page
  9. Gourieroux, 1986, A count data model with unobserved heterogeneity, J. Econometrics, 79, 247, 10.1016/S0304-4076(97)00022-5 · DOI
  10. Hauer, 2001, Overdispersion in modelling accidents on road sections and in empirical bayes estimation, Accid. Anal. Prev., 33, 799, 10.1016/S0001-4575(00)00094-4 · DOI · Paper page
  11. Hauer, 1988, Estimation of safety at signalized intersections, Transp. Res. Record, 1185, 48
  12. Heilbron, 1994, Zero-altered and other regression models for count data with added zeros, J. Biometrics, 5, 531, 10.1002/bimj.4710360505 · DOI · Paper page
  13. Ivan, 2000, Explaining two-lane highway crash rates using land use and hourly exposure, Accid. Anal. Prev., 32, 787, 10.1016/S0001-4575(99)00132-3 · doi:10.1016/s0001-4575(99)00132-3
  14. Kononov, 2002, Diagnostic methodology for detection of safety problems at intersections, Transp. Res. Record, 1784, 51, 10.3141/1784-07 · doi:10.3141/1784-07
  15. Kumara, 2003, Modeling accident occurrence at signalized tee intersections with special emphasis on excess zeros, Traffic Injury Prev., 3, 53, 10.1080/15389580309852 · DOI
  16. Land, 1996, A comparison of Poisson, negative binomial, semiparametric mixed Poisson regression models, with empirical applications to criminal careers data, Sociologic. Methods Res., 24, 387, 10.1177/0049124196024004001 · DOI · Paper page
  17. Lee, 2002, Impact of roadside features on the frequency and severity of run-off-road accidents: an empirical analysis, Accid. Anal. Prev., 34, 349, 10.1016/S0001-4575(01)00009-4 · DOI · Paper page
  18. Li, 1999, Multivariate zero-inflated Poisson models and their applications, Technometrics, 41, 29, 10.1080/00401706.1999.10485593 · DOI · Paper page
  19. Lord, D., 2000. The prediction of accidents on digital networks: characteristics and issues related to the application of accident prediction models. Ph.D. Dissertation, Department of Civil Engineering, University of Toronto, Toronto.
  20. Lord, 2003, Traffic safety diagnostic and application of countermeasures for rural roads in Burkina Faso, Transp. Res. Record, 1846, 39, 10.3141/1846-07 · doi:10.3141/1846-07
  21. Lord, 2000, Accident prediction models with and without trend: application of the generalized estimating equations procedure, Transp. Res. Record, 1717, 102, 10.3141/1717-13 · DOI
  22. Lyon, 2003, Empirical investigation of the IHSDM accident prediction algorithm for rural intersections, Transp. Res. Record, 1840, 78, 10.3141/1840-09 · doi:10.3141/1840-09
  23. Miaou, 1994, The relationship between truck accidents and geometric design of road sections: Poisson versus negative binomial regressions, Accid. Anal. Prev., 26, 471, 10.1016/0001-4575(94)90038-8 · DOI · Paper page
  24. Miaou, 2003, Modeling traffic crash-flow relationships for Intersections: dispersion parameter, functional form, and bayes versus empirical bayes, Transp. Res. Record, 1840, 31, 10.3141/1840-04 · DOI
  25. Mitra, 2002, Study of intersection accident by maneuvre type, Transp. Res. Record, 1784, 43, 10.3141/1784-06 · DOI
  26. Mullahy, 1986, Specification and testing of some modified count data models, J. Econometrics, 33, 341, 10.1016/0304-4076(86)90002-3 · DOI · Paper page
  27. Neldelman, 1986, Bernoulli trials, Poisson trials, surprising variances, and Jensen's inequality, Amer. Statistician, 40, 286, 10.1080/00031305.1986.10475417 · DOI
  28. Oh, 2003, Validation of the FHWA crash models for rural intersections: lessons learned, Transp. Res. Record, 1840, 41, 10.3141/1840-05 · doi:10.3141/1840-05
  29. Persaud, 1993, Accident prediction models for freeways, Transp. Res. Record, 1401, 55
  30. Poch, 1996, Negative binomial analysis of intersection-accident frequency, J. Transp. Eng., 122, 105, 10.1061/(ASCE)0733-947X(1996)122:2(105) · doi:10.1061/(asce)0733-947x(1996)122:2(105
  31. Poormeta, 1999, On the modelling of overdispersion of counts, Statistica Neerlandica, 53, 5, 10.1111/1467-9574.00094 · DOI
  32. Rider, P.R., 1961. Estimating the Parameters of Mixed Poisson, Binomial and Weibull Distributions by Method of Moments. Bulletin de l’Institut International de Statistiques 38, Part 2.
  33. Qin, 2004, Selecting exposure measures in crash rate prediction for two-lane highway segments, Accid. Anal. Prev., 36, 183, 10.1016/S0001-4575(02)00148-3 · DOI · Paper page
  34. Shankar, 1997, Modeling accident frequency as zero-altered probability processes: an empirical inquiry, Accid. Anal. Prev., 29, 829, 10.1016/S0001-4575(97)00052-3 · DOI · Paper page
  35. Shankar, 2003, Modeling crashes involving pedestrians and motorized traffic, Safety Sci., 41, 627, 10.1016/S0925-7535(02)00017-6 · doi:10.1016/s0925-7535(02)00017-6
  36. Schmidt, 1989, Predicting criminal recidivism using split-population survival time models, J. Econometrics, 40, 141, 10.1016/0304-4076(89)90034-1 · DOI · Paper page
  37. Terza, 1990, Analyzing frequencies of several types of events: a mixed multinomial-Poisson approach, Rev. Econ. Statist., 72, 108, 10.2307/2109745 · doi:10.2307/2109745
  38. Vellaisamy, 2001, On the nature of the binomial distribution, J. Appl. Probability, 38, 36, 10.1239/jap/996986641 · doi:10.1239/jap/996986641
  39. Vuong, 1989, Likelihood ratio tests for model selection and non-nested hypothesis, Econometrica, 57, 307, 10.2307/1912557 · DOI · Paper page
  40. Yoneda, 1962, Estimations in some modified Poisson distributions, Yokohama Mathematical J., 10, 73

Metadata

Authors
Lord, D., Washington, S. P., & Ivan, J. N.
Venue
Accident Analysis & Prevention
Publisher
Elsevier BV
Published
2005-01
Volume
37
Issue
1
Pages
35-46
ISSN
0001-4575 (ISSN-L)
OpenAlex
W2060817938
Cited by
870
References
3
FWCI
59.93
Type
journal article
Language
en
Open access
closed
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)

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CoChat. (2026). Citation check: Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory. https://app.cochat.ai/papers/10.1016/j.aap.2004.02.004
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Lord, D., Washington, S. P., & Ivan, J. N. (2005). Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory. Accident Analysis & Prevention. https://doi.org/10.1016/j.aap.2004.02.004

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