Bayesian approach with the power prior for road safety analysis

References

• Berger , JO . 1985 . Statistical decision theory and Bayesian analysis. 2nd ed , New York : Springer Verlag .
   Google Scholar
• Chen , MH , Manatunga , AK and Williams , CJ . 1998 . Heritability estimates from human twin data by incorporating historical prior information . Biometrics , 54 ( 4 ) : 1348 – 1362 .
   PubMedGoogle Scholar
• Chen , MH and Ibrahim , JG . 2000 . Bayesian predictive inference for time series count data . Biometrics , 56 : 678 – 685 .
   PubMed Web of Science ®Google Scholar
• Choi , S , Kim , H and Kim , SW . 2004 . Propriety of the power prior for the weibull regression model . Far East Journal of Theoretical Statistics , 14 : 89 – 101 .
   Google Scholar
• Council , FM and Stewart , JR . 1999 . Safety effects of the conversion of rural two-lane to four-lane roadways based on cross-sectional models . Transportation Research Record , 1665 : 35 – 43 .
   Google Scholar
• Gelfand , AE and Smith , AFM . 1990 . Sampling based approaches to calculating marginal densities . Journal of American Statistical Association , 85 : 398 – 409 .
   Web of Science ®Google Scholar
• Geman , S and Geman , D . 1984 . Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images . IEEE Transaction on Pattern Analysis and Machine Intelligence , 6 : 721 – 741 .
   PubMed Web of Science ®Google Scholar
• Hauer , E . 1997 . Observational before-and-after studies in road safety, estimating the effect of highway and traffic engineering measures on road safety , UK : Elsevier Science Ltd. .
   Google Scholar
• Hauer , E , Harwood , DW Council , FM . 2002 . Estimating safety by the empirical Bayes method: a tutorial . Transportation Research Record , 1784 : 126 – 131 .
   Google Scholar
• Ibrahim , JG and Chen , MH . 2000 . Power distribution for regression models . Statistical Science , 15 ( 1 ) : 46 – 60 .
   Web of Science ®Google Scholar
• Ibrahim , JG , Chen , MH and Ryan , LM . 2000 . Bayesian variable selection for time series count data . Statistical Sinica , 10 : 971 – 987 .
   Web of Science ®Google Scholar
• Joshua , S and Garber , N . 1990 . Estimating truck accident rate and involvements using linear and Poisson regression models . Transportation planning and Technology , 15 : 47 – 58 .
   Google Scholar
• Metropolis , N , Rosenbluth , AW Rosenbluth , MN . 1953 . Equations of state calculations by fast computing machines . Journal of the Chemical Physics , 21 : 1087 – 1091 .
   Web of Science ®Google Scholar
• Miaou , SP and Lord , D . 2003 . Modeling traffic crash-flow relationships for intersections: dispersion parameter, functional form, and Bayes versus empirical Bayes methods . Transportation Research Record , 1840 : 31 – 40 .
   Google Scholar
• Miaou , SP and Lum , H . 1993 . Modeling vehicle accidents and highway geometric design relationship . Accident Analysis and Prevention , 25 ( 6 ) : 689 – 709 .
   PubMed Web of Science ®Google Scholar
• Milton , JC and Mannering , FL . 1998 . The relationship among highway geometrics, traffic-related elements and motor-vehicle accident frequencies . Transportation , 25 : 395 – 413 .
   Web of Science ®Google Scholar
• Park , K . 2006 . Evaluation of accident reduction effect of road safety features and development of estimation model for accident reduction factors , Unpublished Ph.D. Dissertation . University of Seoul
   Google Scholar
• Persaud , B . 2001 . “ Statistical methods in highway safety analysis: a synthesis of highway practice. NCHRP SYNTHESIS 295 ” . In Transportation Research Board , 73 – 74 . Washington, D. C : National Academy Press .
   Google Scholar
• Shankar , V , Mannering , FL and Barfield , W . 1995 . Effect of roadway geometrics and environmental factors on rural freeway accident frequencies . Accident Analysis and Prevention , 27 ( 3 ) : 371 – 389 .
   PubMed Web of Science ®Google Scholar
• Zeger , SL and Karlim , MR . 1991 . Generalized linear models with random effect: a Gibbs sampling . Journal of American Statistical Association , 86 : 79 – 86 .
   Web of Science ®Google Scholar