The paired combinatorial logit model: Properties, estimation and application

Transportation Research Part B: Methodological

Volumn 34, Issue 2, 2000, Pages 75-89

  Koppelman, Frank S ^a   Wen, Chieh Hua ^b  

^a Northwestern University   (United States)

^b NATIONAL PENGHU UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Discrete choice; Extreme value models; Intercity travel; Logit; Mode choice

Indexed keywords

CORRELATION METHODS; DECISION THEORY; ERROR ANALYSIS; MATHEMATICAL MODELS; OPERATIONS RESEARCH; PUBLIC POLICY;

EXTREME VALUE MODELS; MULTINOMIAL LOGIT (MNL) MODELS; NESTED LOGIT (NL) MODELS; PAIRED COMBINATORIAL LOGIT (PCL) MODELS;

TRANSPORTATION;

MODELING; TRANSPORTATION PLANNING;

EID: 0034008245     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-2615(99)00012-0     Document Type: Article

References (24)

1. Aptech Systems, 1995. GAUSS applications: constrained maximum likelihood. Aptech Systems, Inc., Maple Valley, WA.
2. Bhat C.R. A heteroscedastic extreme value model of intercity mode choice. Transportation Research B. 29:1995;471-483.
3. Börsch-Supan A., Hajivassiliou V.A. Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variable models. Journal of Econometrics. 58:1993;347-368.
4. Chu, C., 1989. A paired combinatorial logit model for travel demand analysis. Proceedings of the Fifth World Conference on Transportation Research, vol. 4, Ventura, CA, pp. 295-309.
5. Chu, C., 1981. Structural issues and sources of bias in residential location and travel mode choice models. Unpublished Ph.D. Dissertation. Department of Civil Engineering, Northwestern University, USA.
6. Daganzo, C., 1979. Multinomial Probit: The Theory and its Application to Demand Forecasting. Academic Press, New York.
7. Daganzo C., Kusnic M. Two properties of the nested logit model. Transportation Science. 27:1993;395-400.
8. Daly, A., Zachary, S., 1978. Improved multiple choice models. In: Hensher, D.A., Dalvi, M.Q. (Eds.), Determinants of Mode Choice. Saxon House, Sussex.
9. Gliebe, J.P., Koppelman, F.S., Ziliaskopoulos, A., 1999. Route choice using a paired combinatorial logit. Paper Presented at the 78th Transportation Research Board Annual Meeting, Washington, DC.
10. Hajivassiliou, V.H., McFadden, D., 1990. The method of simulated scores for the estimation of ldv models with an application to external debt crises. Cowles Foundation Discussion Paper 967. Yale University.
11. Horowitz J.H. Statistical comparison of non-nested probabilistic discrete choice models. Transportation Science. 17:1983;319-350.
12. Horowitz J.H. Reconsidering the multinomial probit model. Transportation Research B. 25:1991;433-438.
13. Johnson, N., Kotz, S., 1970. Distributions in Statistics: Continuous Univariate Distributions. Wiley, New York.
14. Keane M. A computational practical simulation estimator for panel data. Econometrica. 62:1994;95-116.
15. KPMG Peat Marwick, Koppelman, F.S., 1990. Analysis of the market demand for high speed rail in the Quebec-Ontario corridor. Report produced for Ontario/Quebec Rapid Train Task Force. KPMG Peat Marwick, Vienna, VA.
16. McFadden, D., 1973. Conditional logit analysis of qualitative choice behavior. In: Zaremmbka, P. (Ed.), Frontiers in Econometrics, Academic Press, New York.
17. McFadden, D., 1978. Modeling the choice of residential location. In Transportation Research Record 672. TRB, National Research Council, Washington, DC, pp. 72-77.
18. McFadden D. A method of simulated moments for estimation of discrete choice response models without numerical integration. Econometrica. 57:1989;995-1026.
19. McFadden, D., Train, K., 1996. Mixed MNL models for discrete response. Working paper. Department of Economics, University of California, Berkeley.
20. Recker W.W. Discrete Choice with an Oddball Alternative. Transportation Research B. 29:1995;201-211.
21. Small K. A discrete choice model for ordered alternatives. Econometrica. 55:1987;409-424.
22. Vovsha, P., 1997. The cross-nested logit model: application to mode choice in the Tel-Aviv metropolitan area. Presented at the 76th Transportation Research Board Annual Meeting, Washington, DC.
23. Williams H.C.W.L. On the formation of travel demand models and economic evaluation measures of user benefit. Environment and Planning A. 9:1977;285-344.
24. Yai T., Iwakura S., Morichi S. Multinomial probit with structured covariance for route choice behavior. Transportation Research B. 31:1997;195-207.