IDEAS home Printed from https://ideas.repec.org/a/eee/eejocm/v21y2016icp30-35.html
   My bibliography  Save this article

Variance-component-based nested logit specifications: Improved formulation, and practical microsimulation of random disturbance terms

Author

Listed:
  • Bunch, David S.
  • Rocke, David M.

Abstract

The initial motivation leading to the results in this paper was a problem most choice modeling researchers may have not considered: how to simulate random disturbance terms from nested logit (NL) models. We develop an approach using results from Cardell (1997), who proved the existence of a probability distribution (C(λ)) that could be used to formulate NL models based on statistically independent variance components. These components can be interpreted as unobserved preference heterogeneity for the choice ‘dimensions’ used to define NL tree structures. Simulation aside, we consider this formulation to have other practical advantages for empirical work, but it does not appear to have penetrated the literature (possibly due to notational obstacles). We use notation from Daly (2001) to implement an equivalent representation, which also establishes mathematical equivalence between Cardell (1997) and other important results in the NL literature.

Suggested Citation

  • Bunch, David S. & Rocke, David M., 2016. "Variance-component-based nested logit specifications: Improved formulation, and practical microsimulation of random disturbance terms," Journal of choice modelling, Elsevier, vol. 21(C), pages 30-35.
    • Handle: RePEc:eee:eejocm:v:21:y:2016:i:c:p:30-35
    DOI: 10.1016/j.jocm.2016.04.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1755534515300853
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jocm.2016.04.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Daly, Andrew, 2001. "Alternative tree logit models: comments on a paper of Koppelman and Wen," Transportation Research Part B: Methodological, Elsevier, vol. 35(8), pages 717-724, September.
    2. Daly, Andrew & Bierlaire, Michel, 2006. "A general and operational representation of Generalised Extreme Value models," Transportation Research Part B: Methodological, Elsevier, vol. 40(4), pages 285-305, May.
    3. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, October.
    4. Juan Antonio Carrasco & Juan de Dios Ortúzar, 2002. "Review and assessment of the nested logit model," Transport Reviews, Taylor & Francis Journals, vol. 22(2), pages 197-218, January.
    5. Michel Bierlaire & Tsippy Lotan & Philippe Toint, 1997. "On The Overspecification of Multinomial and Nested Logit Models Due to Alternative Specific Constants," Transportation Science, INFORMS, vol. 31(4), pages 363-371, November.
    6. Hensher, David A. & Greene, William H., 2002. "Specification and estimation of the nested logit model: alternative normalisations," Transportation Research Part B: Methodological, Elsevier, vol. 36(1), pages 1-17, January.
    7. Cardell, N. Scott, 1997. "Variance Components Structures for the Extreme-Value and Logistic Distributions with Application to Models of Heterogeneity," Econometric Theory, Cambridge University Press, vol. 13(2), pages 185-213, April.
    8. Laurie Garrow & Tudor Bodea & Misuk Lee, 2010. "Generation of synthetic datasets for discrete choice analysis," Transportation, Springer, vol. 37(2), pages 183-202, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bertoli, Simone & Moraga, Jesús Fernández-Huertas & Guichard, Lucas, 2020. "Rational inattention and migration decisions," Journal of International Economics, Elsevier, vol. 126(C).
    2. Ramea, Kalai & Bunch, David S. & Yang, Christopher & Yeh, Sonia & Ogden, Joan M., 2018. "Integration of behavioral effects from vehicle choice models into long-term energy systems optimization models," Energy Economics, Elsevier, vol. 74(C), pages 663-676.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Allard, Ryan F. & Moura, Filipe, 2018. "Effect of transport transfer quality on intercity passenger mode choice," Transportation Research Part A: Policy and Practice, Elsevier, vol. 109(C), pages 89-107.
    2. Rinaldo Brau & Matteo Lippi Bruni, 2008. "Eliciting the demand for long‐term care coverage: a discrete choice modelling analysis," Health Economics, John Wiley & Sons, Ltd., vol. 17(3), pages 411-433, March.
    3. Bliemer, Michiel C.J. & Rose, John M. & Hensher, David A., 2009. "Efficient stated choice experiments for estimating nested logit models," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 19-35, January.
    4. Haghani, Milad & Sarvi, Majid & Shahhoseini, Zahra, 2015. "Accommodating taste heterogeneity and desired substitution pattern in exit choices of pedestrian crowd evacuees using a mixed nested logit model," Journal of choice modelling, Elsevier, vol. 16(C), pages 58-68.
    5. Batley, Richard & Hess, Stephane, 2016. "Testing for regularity and stochastic transitivity using the structural parameter of nested logit," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 355-376.
    6. Birolini, Sebastian & Cattaneo, Mattia & Malighetti, Paolo & Morlotti, Chiara, 2020. "Integrated origin-based demand modeling for air transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    7. Han, Yan & Zhang, Tiantian & Wang, Meng, 2020. "Holiday travel behavior analysis and empirical study with Integrated Travel Reservation Information usage," Transportation Research Part A: Policy and Practice, Elsevier, vol. 134(C), pages 130-151.
    8. Dam, Tien Thanh & Ta, Thuy Anh & Mai, Tien, 2022. "Submodularity and local search approaches for maximum capture problems under generalized extreme value models," European Journal of Operational Research, Elsevier, vol. 300(3), pages 953-965.
    9. Yan, Zhen & Zhou, Jie-hong, 2015. "Measuring consumer heterogeneous preferences for pork traits under media reports: choice experiment in sixteen traceability pilot cities, China," 2015 Conference, August 9-14, 2015, Milan, Italy 212609, International Association of Agricultural Economists.
    10. Brücker, Herbert & Bertoli, Simone & Fernández-Huertas Moraga, Jesús, 2013. "The European Crisis and Migration to Germany: Expectations and the Diversion of Migration Flows," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79693, Verein für Socialpolitik / German Economic Association.
    11. Honora Smith & Christine Currie & Pornpimol Chaiwuttisak & Andreas Kyprianou, 2018. "Patient choice modelling: how do patients choose their hospitals?," Health Care Management Science, Springer, vol. 21(2), pages 259-268, June.
    12. Peter Berck & Sofia Tano & Olle Westerlund, 2016. "Regional Sorting of Human Capital: The Choice of Location among Young Adults in Sweden," Regional Studies, Taylor & Francis Journals, vol. 50(5), pages 757-770, May.
    13. Guang Li & Paat Rusmevichientong & Huseyin Topaloglu, 2015. "The d -Level Nested Logit Model: Assortment and Price Optimization Problems," Operations Research, INFORMS, vol. 63(2), pages 325-342, April.
    14. Roberto Basile & Davide Castellani & Antonello Zanfei, 2009. "National boundaries and the location of multinational firms in Europe," Papers in Regional Science, Wiley Blackwell, vol. 88(4), pages 733-748, November.
    15. Peter Davis & Pasquale Schiraldi, 2014. "The flexible coefficient multinomial logit (FC-MNL) model of demand for differentiated products," RAND Journal of Economics, RAND Corporation, vol. 45(1), pages 32-63, March.
    16. Melanie Arntz, 2010. "What Attracts Human Capital? Understanding the Skill Composition of Interregional Job Matches in Germany," Regional Studies, Taylor & Francis Journals, vol. 44(4), pages 423-441.
    17. Sener, Ipek N. & Pendyala, Ram M. & Bhat, Chandra R., 2011. "Accommodating spatial correlation across choice alternatives in discrete choice models: an application to modeling residential location choice behavior," Journal of Transport Geography, Elsevier, vol. 19(2), pages 294-303.
    18. Laura Grigolon, 2021. "Blurred boundaries: A flexible approach for segmentation applied to the car market," Quantitative Economics, Econometric Society, vol. 12(4), pages 1273-1305, November.
    19. Judith Yates & Daniel F. Mackay, 2006. "Discrete Choice Modelling of Urban Housing Markets: A Critical Review and an Application," Urban Studies, Urban Studies Journal Limited, vol. 43(3), pages 559-581, March.
    20. Simone Bertoli & Jesus Fernández-Huertas Moraga, 2012. "Visa Policies, Networks and the Cliff at the Border," Working Papers 2012-12, FEDEA.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:eejocm:v:21:y:2016:i:c:p:30-35. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/journal-of-choice-modelling .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.