Use of skew-normal and skew-t distributions for mixture modeling of freeway speed data

Transportation Research Record

Volumn , Issue 2260, 2011, Pages 67-75

  Zou, Yajie ^a   Zhang, Yunlong ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HIGHER ORDER STATISTICS; MAXIMUM PRINCIPLE; MIXTURES; NORMAL DISTRIBUTION;

COMPONENT DENSITY; EXPECTATION MAXIMIZATION; FINITE MIXTURES; LOG-NORMAL; MIXTURE MODELING; MIXTURE-MODELLING; NORMAL MIXTURE MODELS; SKEW NORMALS; T DISTRIBUTION; T-MIXTURE MODELS;

SPEED;

EID: 84863035686     PISSN: 03611981     EISSN: None     Source Type: Journal    
DOI: 10.3141/2260-08     Document Type: Article

References (21)

1. Leong, H. J. W. The Distribution and Trend of Free Speeds on Two-Lane Two-Way Rural Highways in New South Wales. Proc., 4th Australian Road Research Board Conference, Part 1, Australian Road Research Board, Vermont South, Victoria, Australia, 1968, pp. 791-808.
2. McLean, J. R. Observed Speed Distributions and Rural Road Traffic Operations. Proc., 9th Australian Road Research Board ConferencePart 5, Australian Road Research Board, Vermont South, Victoria, Australia, 1978, pp. 235-244.
3. Haight, F. A., and W. W. Mosher. A Practical Method for Improving the Accuracy of Vehicular Speed Distribution Measurements. Bulletin 341, HRB, National Research Council, Washington, D.C., 1962, pp. 92-116.
4. Gerlough, D. L., and M. J. Huber. Special Report 165: Traffic Flow Theory. TRB, National Research Council, Washington, D.C., 1976.
5. Haight, F. A. Mathematical Theories of Traffic Flow. Academic Press, New York, 1963.
6. Soriguera, F., and F. Robusté. Estimation of Traffic Stream Space Mean Speed from Time Aggregations of Double Loop Detector Data. Transportation Research Part C, Vol. 19, No. 1, 2011, pp. 115-129.
7. May, A. D. Traffic Flow Fundamentals. Prentice-Hall, Englewood Cliffs, N.J., 1990.
8. Dey, P. P., S. Chandra, and S. Gangopadhaya. Speed Distribution Curves Under Mixed Traffic Conditions. Journal of Transportation Engineering, Vol. 132, No. 6, 2006, pp. 475-481. (Pubitemid 43733047)
9. Ko, J., and R. L. Guensler. Characterization of Congestion Based on Speed Distribution: Statistical Approach Using Gaussian Mixture Model. Presented at 84th Annual Meeting of the Transportation Research Board, Washington, D.C., 2005.
10. Park, B., Y. Zhang, and D. Lord. Bayesian Mixture Modeling Approach to Account for Heterogeneity in Speed Data. Transportation Research Part B, Vol. 44, No. 5, 2010, pp. 662-673.
11. Jun, J. Understanding the Variability of Speed Distributions Under Mixed Traffic Conditions Caused by Holiday Traffic. Transportation Research Part C, Vol. 18, No. 4, 2010, pp. 599-610.
12. Azzalini, A. A Class of Distributions Which Includes the Normal Ones. Scandinavian Journal of Statistics, Vol. 12, 1985, pp. 171-178.
13. Azzalini, A., and A. Capitanio. Distributions Generated by Perturbation of Symmetry with Emphasis on a Multivariate Skew t-Distribution. Journal of the Royal Statistical Society Series B, Vol. 65, 2003, pp. 367-389. (Pubitemid 36607794)
14. Frühwirth-Schnatter, S. Finite Mixture and Markov Switching Models. Springer-Verlag, Berlin, 2006.
15. Basso, R., V. H. Lachos, and C. R. B. Cabral. Robust Mixture Modeling Based on Scale Mixtures of Skew-Normal Distributions. Computational Statistics and Data Analysis, Vol. 54, No. 12, 2009, pp. 2926-2941.
16. Dempster, A. P., N. M. Laird, and D. B. Rubin. Maximum Likelihood from Incomplete Data via the EM Algorithm. Journal of the Royal Statistical Society Series B, Vol. 39, 1977, pp. 1-38.
17. McLachlan, G. J., and T. Krishnan. The EM Algorithm and Extensions, 2nd ed. John Wiley and Sons, New York, 2008.
18. Liu, C., and D. B. Rubin. The ECME Algorithm: A Simple Extension of EM and ECM with Faster Monotone Convergence. Biometrika, Vol. 81, 1994, pp. 633-648.
19. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, 2006.
20. Biernacki, C., G. Celeux, and G. Govaert. Assessing a Mixture Model for Clustering with the Integrated Completed Likelihood. IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 22, 2000, pp. 719-725.
21. Lin, T. I., J. C. Lee, and W. J. Hsieh. Robust Mixture Modeling Using the Skew t Distribution. Statistics and Computing, Vol. 17, 2007, pp. 81-92.