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Mixed Logit Estimation of the Value of Travel Time

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Author Info

  • Algers, Staffan

    (Royal Institute of Technology)

  • Bergström, Pål

    (Trade och Capital Markets)

  • Dahlberg, Matz

    ()
    (Department of Economics)

  • Lindqvist Dillén, Johanna

    ()
    (Royal Institute of Technology, Stockholm)

Abstract

In this paper we use mixed logit specifications to allow parameters to vary in the population when estimating the value of time for long-distance car travel. Our main conclusion is that the estimated value of time is very sensitive to how the model is specified: we find that it is significantly lower when the coefficients are assumed to be normally distributed in the population, as compared to the traditional case when they are treated as fixed. In our most richly parameterised model, we find a median value of time of 57 SEK per hour, with the major part of the mass of the value of time distribution closely centred around the median value. The corresponding figure when the parameters are treated as fixed is 89 SEK per hour. Furthermore, our finding that the ratio of coefficients in a mixed logit specification differ significantly from the ones in a traditional logit specification is contrary to the results obtained by Brownstone & Train (1996) and Train (1997). Whether the ratios will differ or not depends on the model and the data generating process at hand.

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Bibliographic Info

Paper provided by Uppsala University, Department of Economics in its series Working Paper Series with number 1998:15.

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Length: 33 pages
Date of creation: 07 Aug 1998
Date of revision:
Handle: RePEc:hhs:uunewp:1998_015

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Postal: Department of Economics, Uppsala University, P. O. Box 513, SE-751 20 Uppsala, Sweden
Phone: + 46 18 471 25 00
Fax: + 46 18 471 14 78
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Web page: http://www.nek.uu.se/
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Keywords: Mixed Logit; Simulation Estimation; Value of Time;

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References

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  1. Axel Borsch-Supan & Vassilis Hajivassiliou & Laurence J. Kotlikoff, 1992. "Health, Children, and Elderly Living Arrangements: A Multiperiod-Multinomial Probit Model with Unobserved Heterogeneity and Autocorrelated Errors," NBER Chapters, in: Topics in the Economics of Aging, pages 79-108 National Bureau of Economic Research, Inc.
  2. Hajivassiliou, Vassilis A & Ruud, Paul A., 1993. "Classical Estimation Methods for LDV Models Using Simulation," Department of Economics, Working Paper Series qt3cg196fr, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  3. Keane, Michael P, 1994. "A Computationally Practical Simulation Estimator for Panel Data," Econometrica, Econometric Society, vol. 62(1), pages 95-116, January.
  4. Brownstone, David & Train, Kenneth, 1999. "Forecasting new product penetration with flexible substitution patterns," University of California Transportation Center, Working Papers qt1j6814b3, University of California Transportation Center.
  5. Daniel McFadden & Kenneth Train, 2000. "Mixed MNL models for discrete response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 447-470.
  6. Vassilis A. Hajivassiliou & Daniel L. McFadden & Paul Ruud, 1993. "Simulation of Multivariate Normal Rectangle Probabilities and their Derivatives: Theoretical and Computational Results," Working Papers _024, Yale University.
  7. Ben-Akiva, M. & Bolduc, D. & Bradley, M., 1993. "Estimation of Travel Choice Models with Randomly Distributed Values of Time," Papers 9303, Laval - Recherche en Energie.
  8. Vassilis A. Hajivassiliou & Axel Borsch-Supan, 1990. "Smooth Unbiased Multivariate Probability Simulators for Maximum Likelihood Estimation of Limited Dependent Variable Models," Cowles Foundation Discussion Papers 960, Cowles Foundation for Research in Economics, Yale University.
  9. Daniel McFadden, 1977. "Modelling the Choice of Residential Location," Cowles Foundation Discussion Papers 477, Cowles Foundation for Research in Economics, Yale University.
  10. McFadden, Daniel & Ruud, Paul A, 1994. "Estimation by Simulation," The Review of Economics and Statistics, MIT Press, vol. 76(4), pages 591-608, November.
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Cited by:
  1. Carlsson, Fredrik, 1999. "The Demand for Intercity Public Transport: The Case of Business Passengers," Working Papers in Economics 12, University of Gothenburg, Department of Economics.
  2. Francisco Javier Amador Morera & Rosa Marina González Marrero, 2005. "Value of Travel Time Savings for University Students and Preference Heterogeneity," Hacienda Pública Española, IEF, vol. 174(3), pages 25-41, September.
  3. David Revelt & Kenneth Train, 2001. "Customer-Specific Taste Parameters and Mixed Logit: Households' Choice of Electricity Supplier," Econometrics 0012001, EconWPA.
  4. Kjartan Sælensminde, 2001. "Inconsistent choices in Stated Choice data;Use of the logit scaling approach to handle resulting variance increases," Transportation, Springer, vol. 28(3), pages 269-296, August.
  5. Achtnicht, Martin, 2012. "German car buyers' willingness to pay to reduce CO2 emissions," ZEW Discussion Papers 09-058 [rev.], ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  6. Fosgerau, Mogens & Bierlaire, Michel, 2007. "A practical test for the choice of mixing distribution in discrete choice models," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 784-794, August.
  7. Carlsson, Fredrik, 2002. "Airport Marginal Cost Pricing: Discussion and an Application to Swedish Airports," Working Papers in Economics 85, University of Gothenburg, Department of Economics.
  8. Stephane Hess & John W. Polak, 2004. "An analysis of parking behaviour using discrete choice models calibrated on SP datasets," ERSA conference papers ersa04p60, European Regional Science Association.
  9. Francisco Amador & Rosa González & Juan Ortúzar, 2005. "Preference Heterogeneity and Willingness to Pay for Travel Time Savings," Transportation, Springer, vol. 32(6), pages 627-647, November.
  10. Caussade, Sebastián & Ortúzar, Juan de Dios & Rizzi, Luis I. & Hensher, David A., 2005. "Assessing the influence of design dimensions on stated choice experiment estimates," Transportation Research Part B: Methodological, Elsevier, vol. 39(7), pages 621-640, August.
  11. Hiselius, Lena Winslott, 2004. "Using Choice Experiments to Assess Peoples' Preferences for Railway Transports of Hazardous Materials," Working Papers 2004:6, Lund University, Department of Economics.
  12. Cirillo, C. & Axhausen, K.W., 2006. "Evidence on the distribution of values of travel time savings from a six-week diary," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(5), pages 444-457, June.
  13. A. de Palma & C. Fontan, 2001. "Choix modal et valeur du temps en Ile-de-France," THEMA Working Papers 2001-20, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  14. Ozbay, Kaan & Yanmaz-Tuzel, Ozlem, 2008. "Valuation of travel time and departure time choice in the presence of time-of-day pricing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(4), pages 577-590, May.
  15. Francisco Javier Amador & Rosa Marina González & Juan de Dios Ortúzar, 2004. "Preference heterogeneity and willingness to pay for travel time," Documentos de trabajo conjunto ULL-ULPGC 2004-12, Facultad de Ciencias Económicas de la ULPGC.
  16. Hess, Stephane & Bierlaire, Michel & Polak, John W., 2005. "Estimation of value of travel-time savings using mixed logit models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(2-3), pages 221-236.
  17. Daziano, Ricardo A. & Achtnicht, Martin, 2013. "Accounting for uncertainty in willingness to pay for environmental benefits," ZEW Discussion Papers 13-059, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.

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