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A systematic comparison of continuous and discrete mixture models

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  • Hess, S.
  • Bierlaire, Michel
  • Polak, J.W.

Abstract

Modellers are increasingly relying on the use of continuous random coefficients models, such as Mixed Logit, for the representation of variations in tastes across individuals. In this paper, we provide an in-depth comparison of the performance of the Mixed Logit model with that of its far less commonly used discrete mixture counterpart, making use of a combination of real and simulated datasets. The results not only show significant computational advantages for the discrete mixture approach, but also highlight greater flexibility, and show that, across a host of scenarios, the discrete mixture models are able to offer comparable or indeed superior model performance.

Suggested Citation

  • Hess, S. & Bierlaire, Michel & Polak, J.W., 2007. "A systematic comparison of continuous and discrete mixture models," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 37, pages 35-61.
  • Handle: RePEc:sot:journl:y:2007:i:37:p:35-61
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    File URL: http://hdl.handle.net/10077/5957
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    References listed on IDEAS

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    1. Greene, William H. & Hensher, David A., 2003. "A latent class model for discrete choice analysis: contrasts with mixed logit," Transportation Research Part B: Methodological, Elsevier, vol. 37(8), pages 681-698, September.
    2. 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.
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    4. Fosgerau, Mogens & Bierlaire, Michel, 2007. "Circumventing the problem of the scale: discrete choice models with multiplicative error terms," MPRA Paper 3901, University Library of Munich, Germany.
    5. Hess, Stephane & Train, Kenneth E. & Polak, John W., 2006. "On the use of a Modified Latin Hypercube Sampling (MLHS) method in the estimation of a Mixed Logit Model for vehicle choice," Transportation Research Part B: Methodological, Elsevier, vol. 40(2), pages 147-163, February.
    6. 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.
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    Cited by:

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    3. Arentze, Theo A., 2015. "Individuals' social preferences in joint activity location choice: A negotiation model and empirical evidence," Journal of Transport Geography, Elsevier, vol. 48(C), pages 76-84.
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    5. Stephane Hess, 2014. "Latent class structures: taste heterogeneity and beyond," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 14, pages 311-330, Edward Elgar Publishing.
    6. Christian Pfarr & Andreas Schmid & Morten Raun Mørkbak, 2018. "Modelling Heterogeneous Preferences for Income Redistribution–An Application of Continuous and Discrete Distributions," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(2), pages 270-294, June.
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    9. Yuan, Yuan & You, Wen & Boyle, Kevin J., 2015. "A guide to heterogeneity features captured by parametric and nonparametric mixing distributions for the mixed logit model," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205733, Agricultural and Applied Economics Association.
    10. Erlend Dancke Sandorf & Danny Campbell & Nick Hanley, 2015. "Disentangling the Influence of Knowledge on Processing Strategies in Choice Modelling," Discussion Papers in Environment and Development Economics 2015-02, University of St. Andrews, School of Geography and Sustainable Development.
    11. Sagebiel, Julian, 2017. "Preference heterogeneity in energy discrete choice experiments: A review on methods for model selection," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 804-811.
    12. Tinessa, Fiore & Marzano, Vittorio & Papola, Andrea, 2020. "Mixing distributions of tastes with a Combination of Nested Logit (CoNL) kernel: Formulation and performance analysis," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 1-23.
    13. Stephane Hess & Denis Bolduc & John Polak, 2010. "Random covariance heterogeneity in discrete choice models," Transportation, Springer, vol. 37(3), pages 391-411, May.
    14. Doherty, Edel & Campbell, Danny & Hynes, Stephen, 2012. "Exploring cost heterogeneity in recreational demand," Working Papers 148832, National University of Ireland, Galway, Socio-Economic Marine Research Unit.
    15. Jensen, Jørgen Dejgaard & Mørkbak, Morten Raun & Nordström, Jonas, 2012. "Economic Costs and Benefits of Promoting Healthy Takeaway Meals at Workplace Canteens," Journal of Benefit-Cost Analysis, Cambridge University Press, vol. 3(4), pages 1-27, December.
    16. Pfarr, Christian & Schmid, Andreas & Mørkbak, Morten Raun, 2015. "Latent characteristics and preferences for income redistribution," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113001, Verein für Socialpolitik / German Economic Association.
    17. José Grisolía & Kenneth Willis, 2012. "A latent class model of theatre demand," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 36(2), pages 113-139, May.
    18. Varela, Elsa & Jacobsen, Jette Bredahl & Soliño, Mario, 2014. "Understanding the heterogeneity of social preferences for fire prevention management," Ecological Economics, Elsevier, vol. 106(C), pages 91-104.
    19. Legrand D. F, Saint-Cyr, 2017. "Farm heterogeneity and agricultural policy impacts on size dynamics: evidence from France," Working Papers SMART 17-04, INRAE UMR SMART.
    20. Zhao, Xiaoli & Cai, Qiong & Li, Shujie & Ma, Chunbo, 2018. "Public preferences for biomass electricity in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 95(C), pages 242-253.
    21. Andrew Daly & Stephane Hess & Kenneth Train, 2012. "Assuring finite moments for willingness to pay in random coefficient models," Transportation, Springer, vol. 39(1), pages 19-31, January.
    22. Pfarr, Christian & Schmid, Andreas & Mørkbak, Morten Raun, 2014. "Identifying latent interest-groups: An analysis of heterogeneous preferences for income-redistribution," MPRA Paper 58823, University Library of Munich, Germany.
    23. Elsa Varela & Zein Kallas, 2022. "Societal preferences for the conservation of traditional pig breeds and their agroecosystems: Addressing preference heterogeneity and protest responses through deterministic allocation and scale‐exten," Journal of Agricultural Economics, Wiley Blackwell, vol. 73(3), pages 761-788, September.

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