Valuing travel time variability: Characteristics of the travel time distribution on an urban road

Transportation Research Part C: Emerging Technologies

Volumn 24, Issue , 2012, Pages 83-101

  Fosgerau, Mogens ^a,b   Fukuda, Daisuke ^c  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^c TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Nonparametrics; Stable distributions; Travel time distribution; Value of travel time variability

Indexed keywords

ROADS AND STREETS;

EMPIRICAL INVESTIGATION; NONPARAMETRICS; STABILITY PARAMETERS; STABLE DISTRIBUTIONS; STATISTICAL TECHNIQUES; TRAVEL TIME DISTRIBUTIONS; TRAVEL TIME VARIABILITIES; VALUE OF TRAVEL TIME VARIABILITIES;

TRAVEL TIME;

DISTRIBUTION SYSTEM; NUMERICAL MODEL; PARAMETERIZATION; STATISTICAL ANALYSIS; TRAVEL TIME; URBAN TRANSPORT;

EID: 84858304479     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2012.02.008     Document Type: Article

References (32)

1. Bates J., Polak J., Jones P., Cook A. The valuation of reliability for personal travel. Transportation Research Part E: Logistics and Transportation Review 2001, 37(2-3):191-229.
2. Brownstone D., Small K. Valuing time and reliability: assessing the evidence from road pricing demonstrations. Transportation Research Part A: Policy and Practice 2005, 39(4):279-293.
3. Doornik, J.A., 2001. Ox: An Object-Oriented Matrix Language, London.
4. Fosgerau M. On the relation between the mean and variance of delay in dynamic queues with random capacity and demand. Journal of Economic Dynamics and Control 2010, 34(4):598-603.
5. Fosgerau M., Engelson L. The value of travel time variance. Transportation Research Part B: Methodological 2011, 45(1):1-8.
6. Fosgerau M., Karlström A. The value of reliability. Transportation Research Part B: Methodological 2010, 43(8-9):813-820.
7. Gnedenko B.V., Kolmogorov A.N. Limit Distributions for Sums of Independent Random Variables 1954, Addison-Wesley.
8. Gretton A., Györfi L. Consistent nonparametric tests of independence. Journal of Machine Learning Research 2010, 99:1391-1423.
9. Hall P., Racine J., Li Q. Cross-validation and the estimation of conditional probability densities. Journal of the American Statistical Association 2004, 99(468):1015-1027.
10. Härdle W. Applied Nonparametric Regression. Econometric Society Monograph Series 1990, Cambridge University Press.
11. Ichimura T., Fukuda D. A fast algorithm for computing least-squares cross-validations for nonparametric conditional kernel density functions. Computational Statistics & Data Analysis 2010, 54(12):3404-3410.
12. Lam T.C., Small K. The value of time and reliability: measurement from a value pricing experiment. Transportation Research Part E: Logistics and Transportation Review 2001, 37(2-3):231-251.
13. Li Q., Racine J. Nonparametric Econometrics: Theory and Practice 2007, Princeton University Press.
14. Michael J.R. The stabilized probability plot. Biometrika 1983, 70(1):11-17.
15. Nolan J.P. Numerical calculation of stable densities and distribution functions. Stochastic Models 1997, 13(4):759-774.
16. Nolan J.P. Maximum likelihood estimation of stable parameters. Lévy Process: Theory and Applications 2001, 379-400. Birkhäuser, Boston. O.E. Barndorff-Nielsen, T. Mikosch, S.I. Resnick (Eds.).
17. Nolan, J.P., in press. Stable Distributions - Models for Heavy Tailed Data, Birkhäuser, Boston.
18. Noland R.B. Commuter responses to travel time uncertainty under congested conditions: expected costs and the provision of information. Journal of Urban Economics 1997, 41(3):377-406.
19. Noland R.B., Polak J.W. Travel time variability: a review of theoretical and empirical issues. Transport Reviews 2002, 22(1):39-54.
20. Noland R.B., Small K.A. Travel-time uncertainty, departure time choice, and the cost of morning commutes. Transportation Research Record 1995, 1493:150-158.
21. Noland R.B., Small K.A., Koskenoja P.M., Chu X. Simulating travel reliability. Regional Science and Urban Economics 1998, 28(5):535-564.
22. Pagan A., Ullah A. Nonparametric Econometrics 1999, Cambridge University Press.
23. R Development Core Team, 2007. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.
24. Racine J. Nonparametric econometrics: a primer. Foundations and Trends ® in Econometrics 2008, 3(1):1-88.
25. Robust Analysis, Inc., 2006. User Manual for STABLE 4.0 S-Plus/R Version.
26. Scott D.W. On optimal and data-based histograms. Biometrika 1979, 66(3):605-610.
27. Small K.A. The scheduling of consumer activities: work trips. American Economic Review 1982, 72(3):467-479.
28. Small K.A., Winston C., Yan J. Uncovering the distribution of motorists' preferences for travel time and reliability. Econometrica 2005, 73(4):1367-1382.
29. Su L., White H. A consistent characteristic function-based test for conditional independence. Journal of Econometrics 2007, 141(1):807-834.
30. Vickrey W.S. Pricing, metering, and efficiency using urban transportation facilities. Highway Research Record 1973, 476:36-48.
31. Wadsworth H. Handbook of Statistical Methods for Engineers and Scientists 1998, McGraw-Hill Professional.
32. Zolotarev V. One-Dimensional Stable Distributions 1986, American Mathematical Society.