A Bayesian semi-parametric model to estimate relationships between crash counts and roadway characteristics

Transportation Research Part B: Methodological

Volumn 44, Issue 5, 2010, Pages 699-715

  Shively, Thomas S ^a   Kockelman, Kara ^b   Damien, Paul ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b The University of Texas at Austin   (United States)

Author keywords

Forecasting; Markov chain Monte Carlo; Monotonicity constraints; Poisson gamma model; Regression splines

Indexed keywords

FORECASTING; MARKOV PROCESSES;

MARKOV CHAIN MONTE-CARLO; MONOTONICITY CONSTRAINT; NON-PARAMETRIC ESTIMATIONS; POISSON GAMMAS; REGRESSION SPLINES; ROAD CLASSIFICATIONS; ROADWAY CHARACTERISTICS; SEMI-PARAMETRIC MODELING;

RISK PERCEPTION;

BAYESIAN ANALYSIS; ESTIMATION METHOD; FORECASTING METHOD; MARKOV CHAIN; MONTE CARLO ANALYSIS; ROAD; TRAFFIC CONGESTION;

EID: 77952953742     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trb.2009.12.019     Document Type: Article

References (35)

1. Abdel-Aty M.A., Radwan A.E. Modeling traffic accident occurrence and involvement. Accident Analysis and Prevention 2000, 32(5):633-642.
2. Bernardo J., Smith A.F.M. Bayesian Theory 1994, John Wiley and Sons, London, England.
3. Biller C. Adaptive Bayesian regression splines in semiparametric generalized linear model. Journal of Graphical and Computational Statistics 2000, 9(1):122-140.
4. Biller C., Fahrmeir L. Bayesian varying-coefficient models using adaptive regression splines. Statistical Modeling 2001, 1(3):195-211.
5. Casella G., George E.I. Explaining the Gibbs sampler. American Statistician 1992, 46(3):167-174.
6. Chin H.C.C., Quddus M.A. Applying the random effect negative binomial model to examine traffic accident occurrence at signalized intersections. Accident Analysis and Prevention 2003, 35(2):253-259.
7. Dumbaugh E. Safe streets, livable streets. Journal of the American Planning Association 2005, 71(3):283-300.
8. Dunson D.B. Bayesian semiparametric isotonic regression for count data. Journal of the American Statistical Association 2005, 100(470):618-627.
9. Fahrmeir, L., Osuna, L., 2007. Structured count data regression. Working paper, Department of Statistics, Ludwig Maximilian Universitt Munchen.
10. Friedman J., Tibshirani R. The monotone smoothing of scatterplots. Technometrics 1984, 26(3):243-250.
11. Gelfand A.E., Smith A.F.M. Sampling-based approaches to calculating marginal densities. Journal of the American Statistical Association 1990, 85(410):398-409.
12. Gurmu S., Rilstone P., Stern S. Semiparametric estimation of count regression models. Journal of Econometrics 1999, 88(1):123-150.
13. Kockelman, K., Bottom, J., Kweon, Y., Ma, J., Wang, X., 2006. Safety Impacts and Other Implications of Raised Speed Limits on High-Speed Roads. Final Report for National Cooperative Highway Research Program Project #17-23. Digest 303. http://www.ce.utexas.edu/prof/kockelman/public_html/NCHRPSpeedLimits17-23.pdf.
14. Kumara S.P., Chin H.C. Modeling accident occurrence at signalized T intersections with special emphasis on excess zeros. Traffic Injury Prevention 2003, 4(1):53-57.
15. Kweon Y.J., Kockelman K. The safety effects of speed limit changes: use of panel models, including speed, use, and design variables. Transportation Research Record 2005, 1908:148-158.
16. Lord D., Washington S.P., Ivan J.N. Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory. Accident Analysis and Prevention 2005, 37(1):35-46.
17. Lord D., Manar A., Vizioli A. Modeling crash-flow-density and crash-flow-V/C ratio for rural and urban freeway segments. Accident Analysis and Prevention 2005, 37(1):185-199.
18. Ma J., Kockelman K., Damien P. A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods. Accident Analysis and Prevention 2008, 40(3):964-975.
19. Maddala G.S. Econometrics 1977, McGraw Hill, New York.
20. Mahamassani H.S., Baaj M.H., Tong C.C. Characterization and evolution of spatial density patterns in urban areas. Transportation 1988, 15(3):233-256.
21. Maher M.J. A bivariate negative binomial model to explain traffic accident migration. Accident Analysis and Prevention 1990, 22(5):487-498.
22. Mammen E. Estimating a smooth monotone regression function. Annals of Statistics 1991, 19(2):724-740.
23. Miaou S.P. The relationship between truck accidents and geometric design of road sections: Poisson versus negative binomial regressions. Accident Analysis and Prevention 1994, 26(4):471-482.
24. Neelon B., Dunson D.B. Bayesian isotonic regression and trend analysis. Biometrics 2004, 60(2):398-406.
25. Park E.S., Lord D. Multivariate Poisson-lognormal models for jointly modeling crash frequency by severity. Transportation Research Record 2007, 2019:1-6.
26. Ramsay J.O. Estimating smooth monotone functions. Journal of the Royal Statistical Society, Series B 1998, 60(2):365-375.
27. Schipper M., Taylor J.M.G., Lin X. Bayesian generalized monotonic functional mixed models for the effects of radiation dose histograms on normal tissue complications. Statistics in Medicine 2007, 26(25):4643-4656.
28. Shively T.S., Sager T.W., Walker S.G. A Bayesian approach to nonparametric monotone function estimation. Journal of the Royal Statistical Society, Series B 2009, 71(1):159-175.
29. Shively, T.S., Walker, S.G., Damien, P., 2010. Monotone nonparametric function estimation in non-Gaussian models. Journal of Econometrics, submitted for publication.
30. Smith M., Kohn R. Nonparametric regression using Bayesian variable selection. Journal of Econometrics 1996, 75(2):317-343.
31. Ulfarsson G.F., Shankar V.N. Accident count model based on multiyear cross-sectional roadway data with serial correlation. Transportation Research Record 2003, 1840:193-197.
32. Wahba G. Improper priors, spline smoothing and the problem of guarding against model errors in regression. Journal of the Royal Statistical Society, Series B 1978, 40(3):364-372.
33. Wong C., Kohn R. A Bayesian approach to additive semiparametric regression. Journal of Econometrics 1996, 74(2):209-235.
34. Wright I., Wegman E. Isotonic, convex, and related splines. Annals of Statistics 1980, 8(5):1023-1035.
35. Xie Y., Zhang Y. Crash frequency analysis with generalized additive models. Transportation Research Record 2008, 2061:39-45.