Bayesian analysis for zero-inflated regression models with the power prior: Applications to road safety countermeasures

Accident Analysis and Prevention

Volumn 42, Issue 2, 2010, Pages 540-547

  Jang, Hakjin ^a   Lee, Soobeom ^b   Kim, Seong W ^a  

^a Hanyang University   (South Korea)

^b University of Seoul   (South Korea)

Author keywords

Accident prediction model; Historical data; Metropolis Hastings algorithm; Power prior; Zero inflated regression model

Indexed keywords

ACCIDENT PREDICTION MODEL; BAYESIAN ANALYSIS; BAYESIAN INFERENCE; CURRENT DATA; EMPIRICAL RESULTS; FREQUENTIST; HISTORICAL DATA; INFORMATIVE PRIORS; LIKELIHOOD FUNCTIONS; MARKOV CHAIN; METROPOLIS-HASTINGS ALGORITHM; MONTE CARLO TECHNIQUES; NEGATIVE BINOMIAL REGRESSION MODEL; REGRESSION COEFFICIENT; REGRESSION MODEL; ROAD SAFETY; SAFETY COUNTERMEASURES;

ACCIDENTS; BAYESIAN NETWORKS; INFERENCE ENGINES; MARKOV PROCESSES; MATHEMATICAL MODELS; MONTE CARLO METHODS; ROADS AND STREETS;

REGRESSION ANALYSIS;

ARTICLE; BAYES THEOREM; HUMAN; REGRESSION ANALYSIS; STATISTICS; TRAFFIC ACCIDENT;

ACCIDENTS, TRAFFIC; BAYES THEOREM; HUMANS; REGRESSION ANALYSIS;

EID: 76049096986     PISSN: 00014575     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aap.2009.08.022     Document Type: Article

References (29)

1. Carson J., and Mannering F.L. The effect of ice warning signs on ice-accident frequencies and severities. Accident Analysis and Prevention 33 1 (2001) 99-109
2. Chen M.H., Manatunga A.K., and Williams C.J. Heritability estimates from human twin data by incorporating historical prior information. Biometrics 54 4 (1998) 1348-1362
3. Chen M.H., Dey D.K., and Sinha D. Bayesian analysis of multivariate mortality data with large families. Applied Statistics 49 1 (2000) 129-144
4. Chib S., and Greenberg E. Understanding the Metropolis-Hastings algorithm. Journal of the American Statistical Association 49 4 (1995) 327-335
5. Choi S., Kim H., and Kim S.W. Propriety of the power prior for the Weibull regression model. Far East Journal of Theoretical Statistics 14 (2004) 89-101
6. Gelman A., and Rubin D.B. Inference from iterative simulation using multiple sequences. Statistical Science 7 4 (1992) 457-472
7. Geman S., and Geman D. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence 6 6 (1984) 721-741
8. Ibrahim J.G., and Chen M.H. Power prior distributions for regression models. Statistical Science 15 1 (2000) 46-60
9. Ibrahim J.G., Chen M.H., and Ryan L.M. Bayesian variable selection for time series count data. Statistical Sinica 10 (2000) 971-987
10. Jansakul N., and Hinde J.P. Score tests for zero-inflated Poisson models. Computational Statistics and Data Analysis 40 1 (2002) 75-96
11. Jeffreys H. Theory of Probability. third ed. (1961), Oxford University Press
12. Joshua S.C., and Garber N.J. Estimating truck accident rate and involvement using linear and Poisson regression models. Transportation Planning and Technology 15 1 (1990) 41-58
13. Jovanis P.P., and Chang H.L. Modelling the relationship of accident to mile travelled. Transportation Research Record 1068 (1986) 42-51
14. Kadane J.B., and Wolfson L.J. Experiences in elicitation. The Statistician 47 1 (1998) 3-19
15. Kass R.E., and Raftery A.E. Bayes factors. Journal of the American Statistical Association 90 430 (1995) 773-795
16. Khoshgoftaar T.M., Munson J.C., Bhattacharya B.B., and Richardson G.D. Precictive modeling techniques of software quality from software measures. IEEE Transactions on Software Engineering 18 11 (1992) 979-987
17. Lee, S., Choi, J., Kim, S.W., 2010. Bayesian approach with the power prior for safety analysis. Transportmetrica 6 (1), 39-52.
18. Lee J., and Mannering F.L. Impact of roadside features on the frequency and severity of run-off-roadway accidents: an empirical analysis. Accident Analysis and Prevention 34 2 (2002) 149-161
19. Lord D., Washington S.P., and Ivan J.N. Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory. Accident Analysis and Prevention 37 1 (2005) 35-46
20. Lord D., Washington S.P., and Ivan J.N. Further notes on the application of zero-inflated models in highway safety. Accident Analysis and Prevention 39 1 (2007) 53-57
21. Malyshkina N.V., Mannering F.L., and Tarko A.P. Markov switching negative binomial models: an application to vehicle accident frequencies. Accident Analysis and Prevention 41 2 (2009) 217-226
22. Malyshkina, N.V., Mannering, F.L. Zero-state Markov switching count-data models: an empirical assessment. Accident Analysis and Prevention, in press.
23. Miaou S.P., and Lum H. Modelling vehicle accidents and highway geometric design relationships. Accident Analysis and Prevention 25 6 (1993) 689-709
24. Miaou S.P. The relationship between truck accidents and geometric design of road sections: Poisson versus negative binomial regressions. Accident Analysis and Prevention 26 4 (1994) 471-482
25. Milton J.C., and Mannering F.L. The relationship among highway geometrics, traffic-related elements and motor-vehicle accident frequencies. Transportation 25 4 (1998) 395-413
26. Shankar V., Mannering F.L., and Barfield W. Effect of roadway geometrics and environmental factors on rural freeway accident frequencies. Accident Analysis and Prevention 27 3 (1995) 371-389
27. Shankar V., Milton J.C., and Mannering F.L. Modeling accident frequencies as zero-altered probability process: an empirical inquiry. Accident Analysis and Prevention 29 6 (1997) 829-837
28. Szabo, R.M., Khoshgoftaar, T.M., 2000. Exploring a Poisson regression fault model: a comparative study. Technical Report TR-CSE-00-56. Florida Atlantic University.
29. Washington S.P., Karlaftis M.G., and Mannering F.L. Statistical and Econometric Methods for Transportation Data Analysis (2003), Chapman & Hall/CRC