Skip to main content
Log in

Bayesian estimation of multinomial probit models of work trip choice

  • Published:
Transportation Aims and scope Submit manuscript

Abstract

In this paper, we estimate a multinomial probit model of work trip mode choice in Seoul, Korea, using the Bayesian approach with Gibbs sampling. This method constructs a Markov chain Gibbs sampler that can be used to draw directly from the exact posterior distribution and perform finite sample likelihood inference. We estimate direct and cross-elasticities with respect to travel cost and the value of time. Our results show that travel demands are more sensitive to travel time than travel cost. The cross-elasticity results show that the bus has a greater substitute relation to the subway than the auto (and vice versa) and that an increase in the cost of an auto will increase the demand for bus transport more so than that of the subway.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Albert J & Chib S (1993) Bayesian analysis of binary and polychotomous data. Journal of the American Statistical Association 88: 669–679.

    Google Scholar 

  • Bhat CR (1995) A heteroscedastic extreme value model of intercity travel mode choice. Transportation Research 29B: 471–483.

    Google Scholar 

  • Bhat CR & Castelar S (forthcoming) A unified mixed logit framework for modeling revealed and stated preferences: formulation and application to congestion pricing analysis in the San Francisco Bay Area. Transportation Research.

  • Bolduc D (1999) A practical technique to estimate multinomial probit models in transportation. Transportation Research 33B: 63–79.

    Google Scholar 

  • Brownstone D & Train K (1999) Forecasting new product penetration with flexible substitution patterns. Journal of Econometrics 89: 109–129.

    Google Scholar 

  • Green, W., (1997) Econometric Analysis. New Jersey: Prentice-Hall, Inc.

    Google Scholar 

  • Hajivassiliou V (1993) Simulation estimation methods for limited dependent variable models. In Maddala GS, Rao CR & Vinod HD (eds) Handbook of Statistics (pp. 519–543). Amsterdam: North Holland.

    Google Scholar 

  • Hajivassiliou V, McFadden D & Ruud P (1996) Simulation of multivariate normal rectangle probabilities and their derivatives: methods and programs. Journal of Econometrics 72: 85–134.

    Google Scholar 

  • Hensher D (2001) The valuation of commuter travel time savings for car drivers: evaluating alternative model specifications. Transportation 28: 101–118.

    Google Scholar 

  • Huber J & Train K (2001) On the similarity of Classical and Bayesian estimates of individual mean partworths. Marketing Letters 12: 257–267.

    Google Scholar 

  • McColluch R & Rossi PE (1994) An exact likelihood analysis of the multinomial probit model. Journal of Econometrics 64: 207–240.

    Google Scholar 

  • McColluch R, Polson NG & Rossi PE (2000) A Bayesian analysis of the multinomial probit model with fully identified parameters. Journal of Econometrics 99: 173–193.

    Google Scholar 

  • McFadden D (1989) A method of simulated moments for estimation of discrete response models without numerical integration. Econometrica 57: 995–1026.

    Google Scholar 

  • Sheffi Y, Hall R and Daganzo C (1982) On the estimation of the multinomial probit model. Transportation Research 16A: 447–456.

    Google Scholar 

  • Small KA (1992) Urban Transportation Economics. Melbourne: Harwood Academic Publisher.

    Google Scholar 

  • Train K (1986) Qualitative Choice Analysis: Theory, Econometrics and an Application to Automobile Demand. Cambridge, Massachusetts: The MIT Press.

    Google Scholar 

  • Train K (2001) A comparison of hierarchical Bayes and maximum simulated likelihood for mixed logit. Working paper. University of California, Berkeley.

    Google Scholar 

  • Thobani M (1984) A nested logit model of travel mode to work and auto ownership. Journal of Urban Economics 15: 287–301.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yeonbae Kim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, Y., Kim, TY. & Heo, E. Bayesian estimation of multinomial probit models of work trip choice. Transportation 30, 351–365 (2003). https://doi.org/10.1023/A:1023914313215

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023914313215

Navigation