Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 384

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

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 dispersion parameter

Lord, Dominique·2006·Accident Analysis & Prevention
DOI 10.1016/j.aap.2006.02.001
Open this paper in CoChat — free account

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/j.aap.2006.02.001

Cites

2 of 2 references verified0 citation errors · 0 not checkable

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.

A few free checks a day · papers already verified open instantly · results are public

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

Show all 2 references

Research works printed but not linked: 51

  1. Abbess, 1981, Accidents at blackspots: estimating the effectiveness of remedial treatment. With special reference to the “regression-to-mean” effect, Traffic Eng. Control, 22, 535
  2. Abdel-Aty, 2004, Linking roadway geometrics and real-time traffic characteristics to model daytime freeway crashes: generalized estimating equations for correlated data, Transport. Res. Rec., 1897, 106, 10.3141/1897-14 · doi:10.3141/1897-14
  3. Anscombe, 1950, Sampling theory of the negative binomial and logarithmic series distributions, Biometrika, 36, 358, 10.1093/biomet/37.3-4.358 · DOI · Paper page
  4. Cameron, 1986, Econometric models based on count data: comparisons and applications of some estimators and tests, J. Appl. Econom., 1, 29, 10.1002/jae.3950010104 · DOI · Paper page
  5. Cameron, 1990, Regression-based tests for overdispersion in the Poisson model, J. Econom., 46, 347, 10.1016/0304-4076(90)90014-K · DOI · Paper page
  6. Clark, 1989, Estimation of the negative binomial parameter κ: by Maximum Quasi-Likelihood, Biometrics, 45, 309, 10.2307/2532055 · DOI
  7. Davidian, 1987, A note on extended Quasi-likelihood, J. Roy. Stat. Soc.: Ser. B, 82, 1079
  8. Dean, 1994, Modified pseudo-likelihood estimator of the overdispersion parameter in Poisson mixture models, J. Appl. Stat., 21, 523, 10.1080/757584213 · doi:10.1080/757584213
  9. Fisher, 1941, The negative binomial distribution, Ann. Eugenics, 11, 182, 10.1111/j.1469-1809.1941.tb02284.x · DOI
  10. Fletcher, 1970, A new approach to variable metric algorithms, Comput. J., 13, 317, 10.1093/comjnl/13.3.317 · DOI · Paper page
  11. Fridstrøm, 1995, Measuring the contribution of randomness, exposure, weather, and daylight to the variation in road accident counts, Accident Anal. Prev., 27, 1, 10.1016/0001-4575(94)E0023-E · doi:10.1016/0001-4575(94)e0023-e
  12. Gourieroux, 1984, Pseudo maximum likelihood methods: theory, Econometrika, 52, 681, 10.2307/1913471 · DOI · Paper page
  13. Gourieroux, 1984, Pseudo maximum likelihood methods: application, Econometrika, 52, 701, 10.2307/1913472 · DOI · Paper page
  14. Gourieroux, 1986, A count data model with unobserved heterogeneity, J. Econom., 79, 247, 10.1016/S0304-4076(97)00022-5 · DOI
  15. Hauer, 1996, Identification of sites with promise, Transport. Res. Rec., 1542, 54, 10.3141/1542-09 · doi:10.3141/1542-09
  16. Hauer, 1984, Problem of identifying hazardous locations using accident data, Transport. Res. Rec., 975, 36
  17. Hauer, 2004, Safety models for urban four-lane undivided road segments, Transport. Res. Rec., 1897, 96, 10.3141/1897-13 · doi:10.3141/1897-13
  18. Hauer, 1988, Estimation of safety at signalized intersections, Transport. Res. Rec., 1185, 48
  19. Heydecker, 2001, Identification of sites for road accident remedial work by Bayesian statistical methods: an example of uncertain inference, Adv. Eng. Softw., 32, 859, 10.1016/S0965-9978(01)00037-0 · doi:10.1016/s0965-9978(01)00037-0
  20. Ivan, 2000, Explaining two-lane highway crash rates using land use and hourly exposure, Accident Anal. Prev., 32, 787, 10.1016/S0001-4575(99)00132-3 · doi:10.1016/s0001-4575(99)00132-3
  21. Kononov, 2004, Explicit consideration of safety in transportation planning and project scoping, Transport. Res. Rec., 1897, 116, 10.3141/1897-15 · doi:10.3141/1897-15
  22. Kumara, 1897, Study of fatal traffic accidents in Asia Pacific countries, Transport. Res. Rec., 43
  23. Kumara, 2003, Identification of accident causal factors and prediction of hazardousness of intersection approaches, Transport. Res. Rec., 1840, 116, 10.3141/1840-13 · doi:10.3141/1840-13
  24. Lawless, 1987, Negative binomial and mixed Poisson regression, Can. J. Stat., 15, 209, 10.2307/3314912 · DOI · Paper page
  25. Lee, 1986, Specification test for Poisson regression models, Int. Econ. Rev., 27, 689, 10.2307/2526689 · DOI
  26. 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, Ontario.
  27. Lord, 2005, Calibration of predictive models for estimating the safety of ramp design configurations, Transport. Res. Rec., 1908, 88, 10.3141/1908-11 · doi:10.3141/1908-11
  28. Lord, 2005, Modeling crash-flow-density and crash-flow-V/C ratio for rural and urban freeway segments, Accident Anal. Prev., 37, 185, 10.1016/j.aap.2004.07.003 · DOI · Paper page
  29. Lord, 2000, Accident prediction models with and without trend: application of the generalized estimating equations procedure, Transport. Res. Rec., 1717, 102, 10.3141/1717-13 · DOI
  30. Lord, 2005, Poisson, Poisson-gamma and zero inflated regression models of motor vehicle crashes: balancing statistical fit and theory, Accident Anal. Prev., 37, 35, 10.1016/j.aap.2004.02.004 · DOI · Paper page
  31. Lyon, 2003, Empirical investigation of the IHSDM accident prediction algorithm for rural intersections, Transport. Res. Rec., 1840, 78, 10.3141/1840-09 · doi:10.3141/1840-09
  32. Maher, 1996, A comprehensive methodology for the fitting predictive accident models, Accident Anal. Prev., 28, 281, 10.1016/0001-4575(95)00059-3 · DOI · Paper page
  33. Miaou, 2003, Modeling traffic crash-flow relationships for intersections: dispersion parameter, functional form, and Bayes versus empirical Bayes, Transport. Res. Rec., 1840, 31, 10.3141/1840-04 · DOI
  34. Miaou, 2005, Bayesian ranking of sites for engineering safety improvements: Decision parameter, treatability concept, statistical criterion and spatial dependence, Accident Anal. Prev., 37, 699, 10.1016/j.aap.2005.03.012 · DOI · Paper page
  35. Noland, 2004, Analysis of pedestrian and bicycle casualties with regional panel data, Transport. Res. Rec., 1897, 43, 10.3141/1897-04 · doi:10.3141/1897-04
  36. Oh, 2003, Validation of the FHWA crash models for rural intersections: lessons learned, Transport. Res. Rec., 1840, 41, 10.3141/1840-05 · doi:10.3141/1840-05
  37. Persaud, 1993, Accident prediction models for freeways, Transport. Res. Rec., 1401, 55
  38. Persaud, 2004, Safety evaluation of permanent raised snow-plowable pavement markers, Transport. Res. Rec., 1897, 148, 10.3141/1897-19 · doi:10.3141/1897-19
  39. Persaud, 2002, Issues of calibration and transferability in developing accident prediction models for urban intersections, Transport. Res. Rec., 1784, 57, 10.3141/1784-08 · doi:10.3141/1784-08
  40. Piegorsch, 1990, Maximum likelihood estimation for the negative binomial dispersion parameter, Biometrics, 46, 863, 10.2307/2532104 · DOI · Paper page
  41. Pieters, 1977, Small-sample comparison of different estimators of negative binomial parameters, Biometrics, 33, 718, 10.2307/2529470 · DOI
  42. Poch, 1996, Negative binomial analysis of intersection-accident frequency, J. Transport. Eng., 122, 105, 10.1061/(ASCE)0733-947X(1996)122:2(105) · doi:10.1061/(asce)0733-947x(1996)122:2(105
  43. Qin, 2004, Selecting exposure measures in crash rate prediction for two-lane highway segments, Accident Anal. Prev., 36, 183, 10.1016/S0001-4575(02)00148-3 · DOI · Paper page
  44. Ross, 1985, The negative binomial distribution, The Statistician, 34, 323, 10.2307/2987659 · DOI
  45. Shenton, 1962, The bias of moment estimators with an application to the negative binomial, Biometrika, 193, 10.1093/biomet/49.1-2.193 · doi:10.1093/biomet/49.1-2.193
  46. Tarko, 2004, Effective and fair identification of hazardous locations, Transport. Res. Rec., 1897, 64, 10.3141/1897-09 · doi:10.3141/1897-09
  47. Toft, 2006, The Gamma-Poisson model as a statistical method to determine if micro-organisms are randomly distributed in a food matrix, Food Microbiol., 23, 90, 10.1016/j.fm.2005.01.014 · DOI
  48. Willson, 1984, Multistage estimation compared with sample-size estimation of the negative binomial κ, Biometrics, 40, 109, 10.2307/2530749 · doi:10.2307/2530749
  49. Willson, 1984, Complete sufficiency and maximum likelihood estimation for the two-parameter negative binomial distribution, Metrika, 33, 349, 10.1007/BF01894768 · DOI
  50. Wood, 2002, Generalised linear accident models and goodness of fit testing, Accident Anal. Prev., 34, 417, 10.1016/S0001-4575(01)00037-9 · doi:10.1016/s0001-4575(01)00037-9
  51. Wood, 2005, Confidence and prediction intervals for generalized linear accident models, Accident Anal. Prev., 37, 267, 10.1016/j.aap.2004.10.005 · doi:10.1016/j.aap.2004.10.005

Cited by

See all 384

Metadata

Authors
Lord, D.
Venue
Accident Analysis & Prevention
Publisher
Elsevier BV
Published
2006-07
Volume
38
Issue
4
Pages
751-766
ISSN
0001-4575 (ISSN-L)
DOI
10.1016/j.aap.2006.02.001
OpenAlex
W313178570
Cited by
384
References
2
FWCI
91.79
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: 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 dispersion parameter. https://app.cochat.ai/papers/10.1016/j.aap.2006.02.001
The paper
Lord, D. (2006). 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 dispersion parameter. Accident Analysis & Prevention. https://doi.org/10.1016/j.aap.2006.02.001

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.