The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Regression Analysis of Count Data
Cameron, A. C., & Trivedi, P. K. (2013) · doi:10.1017/cbo9781139013567 · Cited by 6,640
Zero-Inflated Poisson Regression, with an Application to Defects in Manufacturing
Lambert, D. (1992) · Technometrics · doi:10.2307/1269547 · Cited by 3,988
Aggregation, Variance and the Mean
TAYLOR, L. R. (1961) · Nature · doi:10.1038/189732a0 · Cited by 2,496
Research works printed but not linked: 40
- 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
- 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
- Baker, 1994, The multinomial-Poisson transformation, The Statistician, 43, 495, 10.2307/2348134 · DOI
- 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).
- 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
- 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
- Drezner, 1993, A generalized binomial distribution, Comm. Statist.: Theory Methods, 22, 3051, 10.1080/03610929308831202 · doi:10.1080/03610929308831202
- Ghosh, 1998, Generalized linear models for small area estimation, J. Amer. Statistical Assoc., 93, 273, 10.1080/01621459.1998.10474108 · DOI · Paper page
- Gourieroux, 1986, A count data model with unobserved heterogeneity, J. Econometrics, 79, 247, 10.1016/S0304-4076(97)00022-5 · DOI
- 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
- Hauer, 1988, Estimation of safety at signalized intersections, Transp. Res. Record, 1185, 48
- 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
- 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
- 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
- Kumara, 2003, Modeling accident occurrence at signalized tee intersections with special emphasis on excess zeros, Traffic Injury Prev., 3, 53, 10.1080/15389580309852 · DOI
- 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
- 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
- Li, 1999, Multivariate zero-inflated Poisson models and their applications, Technometrics, 41, 29, 10.1080/00401706.1999.10485593 · DOI · Paper page
- 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.
- 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
- 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
- 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
- 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
- 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
- Mitra, 2002, Study of intersection accident by maneuvre type, Transp. Res. Record, 1784, 43, 10.3141/1784-06 · DOI
- 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
- Neldelman, 1986, Bernoulli trials, Poisson trials, surprising variances, and Jensen's inequality, Amer. Statistician, 40, 286, 10.1080/00031305.1986.10475417 · DOI
- 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
- Persaud, 1993, Accident prediction models for freeways, Transp. Res. Record, 1401, 55
- 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
- Poormeta, 1999, On the modelling of overdispersion of counts, Statistica Neerlandica, 53, 5, 10.1111/1467-9574.00094 · DOI
- 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.
- 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
- 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
- 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
- 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
- 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
- Vellaisamy, 2001, On the nature of the binomial distribution, J. Appl. Probability, 38, 36, 10.1239/jap/996986641 · doi:10.1239/jap/996986641
- Vuong, 1989, Likelihood ratio tests for model selection and non-nested hypothesis, Econometrica, 57, 307, 10.2307/1912557 · DOI · Paper page
- Yoneda, 1962, Estimations in some modified Poisson distributions, Yokohama Mathematical J., 10, 73
Cited by
Quasi-Poisson vs. negative binomial regression: how should we model overdispersed count data?
Ver Hoef, J. M., & Boveng, P. L. (2007) · Ecology · doi:10.1890/07-0043.1 · Cited by 1,238
Predicting motor vehicle collisions using Bayesian neural network models: An empirical analysis
Xie, Y., Lord, D., & Zhang, Y. (2007) · Accident Analysis & Prevention · doi:10.1016/j.aap.2006.12.014 · Cited by 253
Self-citationvan Winkel, R. (2011) · Archives of General Psychiatry · doi:10.1001/archgenpsychiatry.2010.152 · Cited by 183
The Use of Telematics Devices to Improve Automobile Insurance Rates
Guillen, M., Nielsen, J. P., Ayuso, M., & Pérez‐Marín, A. M. (2019) · Risk Analysis · doi:10.1111/risa.13172 · Cited by 98
Kaufman, E. J., Morrison, C. N., Branas, C. C., & Wiebe, D. J. (2018) · JAMA Internal Medicine · doi:10.1001/jamainternmed.2018.0190 · Cited by 91
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)
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- 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
- The paper
- 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
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.