Freeway safety estimation using extreme value theory approaches: A comparative study

Accident Analysis and Prevention

Volumn 62, Issue , 2014, Pages 32-41

  Zheng, Lai ^a,b   Ismail, Karim ^b   Meng, Xianghai ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b CARLETON UNIVERSITY   (Canada)

Author keywords

Block maxima; Extreme value theory; Freeway safety; Peak over threshold

Indexed keywords

BLOCK MAXIMA; COMPARATIVE STUDIES; DEVELOPMENT AND APPLICATIONS; EXTREME VALUE THEORY; FREEWAY SAFETIES; LANE CHANGE MANEUVERS; NON-STATIONARITIES; PEAK OVER THRESHOLD;

ACCIDENT PREVENTION; SAFETY ENGINEERING;

HIGHWAY ACCIDENTS;

ARTICLE; BLOCK MAXIMA; CAR DRIVING; COMPARATIVE STUDY; ENVIRONMENTAL PLANNING; EXTREME VALUE THEORY; FREEWAY SAFETY; HUMAN; PEAK OVER THRESHOLD; REPRODUCIBILITY; SAFETY; STATISTICAL MODEL; STATISTICS; TRAFFIC ACCIDENT;

BLOCK MAXIMA; EXTREME VALUE THEORY; FREEWAY SAFETY; PEAK OVER THRESHOLD;

ACCIDENTS, TRAFFIC; AUTOMOBILE DRIVING; ENVIRONMENT DESIGN; HUMANS; MODELS, STATISTICAL; REPRODUCIBILITY OF RESULTS; SAFETY;

EID: 84886385238     PISSN: 00014575     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aap.2013.09.006     Document Type: Article

References (32)

1. S. Ammoun, F. Nashashibi, and C. Laurgeau An analysis of the Lane Changing Manoeuvre on Roads: the contribution of inter-vehicle cooperation via communication Proceedings of the 2007 IEEE Intelligent Vehicles Symposium Istanbul, Turkey 2007
2. S. Caries A Comparative Simulation Study of the Annual Maxima and the Peaks-over-threshold Methods 2009 Delft University of Technology
3. S. Coles An Introduction to Statistical Modeling of Extreme Values 2001 Springer-Verlag London, UK
4. G.A. Davis, J. Hourdos, H. Xiong, and I. Chatterjee Outline for a causal model of traffic conflicts and crashes Accident Analysis and Prevention 43 2011 1907 1919
5. K. E.I-Basyouny, and T. Sayed Safety performance functions using traffic conflicts Safety Science 51 2013 160 164
6. W. Fernandes, M. Naghettini, and R. Loschi A Bayesian approach for estimating extreme flood probabilities with upper-bounded distribution functions Stochastic Environmental Research and Risk Assessment 24 2010 1127 1143
7. R.A. Fisher, and L.H.C. Tippett Limiting forms of the frequency distribution of the largest or smallest member of a sample Proceedings of the Cambridge Philosophical Society 24 1928 180 190
8. E. Gilleland, and R.W. Katz New software to analyze how extremes change over time Eos 92 2 2011 13 14
9. B.V. Gnedenko Sur la distribution limite du terme maximum d'une serie aleatoire Annals of Mathematics 44 1943 423 453
10. E.M. Gumbel Statistical Theory of Extreme Values and Some Practical Observations. National Bureau of Standards, Applied Mathematics Series 33 1954 U.S. Govt. Printing Office
11. E.M. Gumbel Statistics of Extremes 1958 Columbia University Press Columbia
12. E. Hauer, and P. Garder Research into validity of traffic conflicts technique Accident Analysis and Prevention 18 1986 471 481 (Pubitemid 17527184)
13. T. Hyde, and C.C. Wright Extreme value methods for estimating road traffic capacity Transportation Research Part B: Methodological 20 2 1986 125 138 (Pubitemid 16590914)
14. D. Jarušková, and M. Hanek Peaks over threshold method in comparison with block-maxima method for estimating high return levels of several northern moravia precipitation and discharges series Journal of Hydrology and Hydromechanics 54 4 2006 309 319
15. P. Jonathan, and K. Ewans Statistical modelling of extreme ocean environments for marine design: a review Ocean Engineering 62 2013 91 109
16. A. Laureshyn, A. Svensson, and C. Hydén Evaluation of traffic safety, based on micro-level behavioural data: theoretical framework and first implementation Accident Analysis and Prevention 42 2010 1637 1646
17. M.R. Leadbetter, G. Lindgren, and H. Rootzén Extremes and Related Properties of Random Sequences and Series 1983 Springer Verlag New York
18. D. Lord Analysis of pedestrian conflicts with left-turning traffic Transportation Research Record: Journal of the Transportation Research Board 1538 1996 61 67 (Pubitemid 126696845)
19. D. Lord, and F. Mannering The statistical analysis of crash-frequency data: a review and assessment of methodological alternatives Transportation Research Part A 44 2010 291 305
20. J. Pickands Statistical inference using extreme order statistics Annals of Statistics 3 1975 119 131
21. M. Racco Extreme Value Theory for Finance: A Survey 2011 Economic Research and International Relations Area Bank of Italy
22. N. Saunier, and T. Sayed Probabilistic framework for automated analysis of exposure to road collisions Transportation Research Record: Journal of the Transportation Research Board 2083 2008 96 104
23. T. Sayed, and S. Zein Traffic conflict standards for intersections Transportation Planning and Technology 22 4 1999 309 323 (Pubitemid 29509054)
24. P. Sharma, M. Khare, and S.P. Chakrabarti Application of extreme value theory for predicting violations of air quality standards for an urban road intersection Transportation Research Part D: Transport and Environment 4 3 1999 201 216 (Pubitemid 29324380)
25. R.L. Smith Maximum likelihood estimation in a class of nom-regular cases Biometrika 72 1985 67 90
26. P. Songchitruksa Innovative Non-crash-based Safety Estimation: an extreme value theory approach 2004 Purdue University West Lafayette, Indiana (PhD dissertation)
27. P. Songchitruksa, and A.P. Tarko The extreme value theory approach to safety estimation Accident Analysis and Prevention 38 2006 811 822 (Pubitemid 43668625)
28. Å. Svensson, and C. Hydén Estimating the severity of safety related behaviour Accident Analysis & Prevention 38 2 2006 379 385 (Pubitemid 43124052)
29. A.P. Tarko Use of crash surrogates and exceedance statistics to estimate road safety Accident Analysis and Prevention 45 2012 230 240
30. A.P. Tarko, G. Davis, N. Saunier, T. Sayed, and S. Washington Surrogate Measures of Safety - A White Paper 2009 Transportation Research Board Washington, DC
31. A. Tarko, and P. Songchitruksa Measuring Roadway Safety Proceedings of: Road Safety on Four Continents, Swedish National Road and Transport Research Institute Warsaw, Poland 2005
32. A. Torrielli, M.P. Repetto, and G. Solari Extreme wind speeds from long-term synthetic records Journal of Wind Engineering and Industrial Aerodynamics 115 2013 22 38