IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v38y2004i9p833-851.html
   My bibliography  Save this article

Some developments on the cross-nested logit model

Author

Listed:
  • Papola, Andrea

Abstract

In this paper the cross-nested logit (CNL) model is reformulated as a generalization of the two levels hierarchical logit model. The proposed analytical formulation is derived from the GEV model. Moreover, a general expression of the covariance matrix of the CNL model presenting interesting empirical evidence is proposed. It will be also demonstrated that it is generally possible to specify the model so that this general expression reproduces any given hypothetical homoscedastic covariance matrix. Hence, from the latter, not just probit or mixed multinomial logit choice probabilities (through some simulation methods, e.g. Montecarlo) but also CNL choice probabilities (with a closed analytical form) could be derived. Moreover, comparisons among CNL and probit choice probabilities are presented and the resulting similarity indicates that the CNL is a very interesting closed form alternative to the more flexible non-closed form models.

Suggested Citation

  • Papola, Andrea, 2004. "Some developments on the cross-nested logit model," Transportation Research Part B: Methodological, Elsevier, vol. 38(9), pages 833-851, November.
    • Handle: RePEc:eee:transb:v:38:y:2004:i:9:p:833-851
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191-2615(04)00004-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Wen, Chieh-Hua & Koppelman, Frank S., 2001. "The generalized nested logit model," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 627-641, August.
    2. Cascetta, Ennio & Papola, Andrea, 2003. "A joint mode-transit service choice model incorporating the effect of regional transport service timetables," Transportation Research Part B: Methodological, Elsevier, vol. 37(7), pages 595-614, August.
    3. H C W L Williams, 1977. "On the Formation of Travel Demand Models and Economic Evaluation Measures of User Benefit," Environment and Planning A, , vol. 9(3), pages 285-344, March.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    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. Lemp, Jason D. & Kockelman, Kara M., 2012. "Strategic sampling for large choice sets in estimation and application," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(3), pages 602-613.
    2. Stephane Hess & Denis Bolduc & John Polak, 2010. "Random covariance heterogeneity in discrete choice models," Transportation, Springer, vol. 37(3), pages 391-411, May.
    3. Bhat, Chandra R. & Guo, Jessica, 2004. "A mixed spatially correlated logit model: formulation and application to residential choice modeling," Transportation Research Part B: Methodological, Elsevier, vol. 38(2), pages 147-168, February.
    4. Stephane Hess & Mark Fowler & Thomas Adler & Aniss Bahreinian, 2012. "A joint model for vehicle type and fuel type choice: evidence from a cross-nested logit study," Transportation, Springer, vol. 39(3), pages 593-625, May.
    5. Paleti, Rajesh, 2018. "Generalized multinomial probit Model: Accommodating constrained random parameters," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 248-262.
    6. 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.
    7. Florian Heiss & Stephan Hetzenecker & Maximilian Osterhaus, 2019. "Nonparametric Estimation of the Random Coefficients Model: An Elastic Net Approach," Papers 1909.08434, arXiv.org, revised Sep 2019.
    8. de Jong, Gerard & Daly, Andrew & Pieters, Marits & van der Hoorn, Toon, 2007. "The logsum as an evaluation measure: Review of the literature and new results," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(9), pages 874-889, November.
    9. Laurie Garrow & Tudor Bodea & Misuk Lee, 2010. "Generation of synthetic datasets for discrete choice analysis," Transportation, Springer, vol. 37(2), pages 183-202, March.
    10. Na Zhang & Zijia Wang & Feng Chen & Jingni Song & Jianpo Wang & Yu Li, 2020. "Low-Carbon Impact of Urban Rail Transit Based on Passenger Demand Forecast in Baoji," Energies, MDPI, vol. 13(4), pages 1-18, February.
    11. Fosgerau, Mogens & McFadden, Daniel & Bierlaire, Michel, 2010. "Choice probability generating functions," MPRA Paper 24214, University Library of Munich, Germany.
    12. 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.
    13. Eran Ben-Elia & Ido Erev & Yoram Shiftan, 2008. "The combined effect of information and experience on drivers’ route-choice behavior," Transportation, Springer, vol. 35(2), pages 165-177, March.
    14. 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.
    15. Chiou, Yu-Chiun & Wen, Chieh-Hua & Tsai, Shih-Hsun & Wang, Wei-Ying, 2009. "Integrated modeling of car/motorcycle ownership, type and usage for estimating energy consumption and emissions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(7), pages 665-684, August.
    16. José-Benito Pérez-López & Margarita Novales & Francisco-Alberto Varela-García & Alfonso Orro, 2020. "Residential Location Econometric Choice Modeling with Irregular Zoning: Common Border Spatial Correlation Metric," Networks and Spatial Economics, Springer, vol. 20(3), pages 785-802, September.
    17. 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.
    18. Bhat, Chandra & Lockwood, Allison, 2004. "On distinguishing between physically active and physically passive episodes and between travel and activity episodes: an analysis of weekend recreational participation in the San Francisco Bay area," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(8), pages 573-592, October.
    19. Andrew Daly & Stephane Hess & Geoff Hyman & John Polak & Charlene Rohr, 2005. "Modelling departure time and mode choice," ERSA conference papers ersa05p688, European Regional Science Association.
    20. Chenfeng Xiong & Lei Zhang, 2017. "Dynamic travel mode searching and switching analysis considering hidden model preference and behavioral decision processes," Transportation, Springer, vol. 44(3), pages 511-532, May.

    More about this item

    Statistics

    Access and download statistics

    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:transb:v:38:y:2004:i:9:p:833-851. 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.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    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.