IDEAS home Printed from https://ideas.repec.org/a/inm/ormksc/v11y1992i4p372-385.html
   My bibliography  Save this article

Estimating Nonlinear Parameters in the Multinomial Logit Model

Author

Listed:
  • Peter S. Fader

    (University of Pennsylvania)

  • James M. Lattin

    (Stanford University)

  • John D. C. Little

    (Massachusetts Institute of Technology)

Abstract

Multinomial logit models, especially those calibrated on scanner data, often use explanatory variables that are nonlinear functions of the parameters to be estimated. A common example is the smoothing constant in an exponentially weighted brand loyalty variable. Such parameters cannot be estimated directly using commercially available logit packages. We provide a simple iterative method for estimating nonlinear parameters at the same time as the usual linear coefficients. The procedure uses standard multinomial logit software and, in experience to date, converges rapidly. We prove that, under suitable conditions, the resulting parameter values are maximum likelihood estimates and show how to calculate asymptotic standard errors from normal computer output. Three applications illustrate the method in practice.

Suggested Citation

  • Peter S. Fader & James M. Lattin & John D. C. Little, 1992. "Estimating Nonlinear Parameters in the Multinomial Logit Model," Marketing Science, INFORMS, vol. 11(4), pages 372-385.
    • Handle: RePEc:inm:ormksc:v:11:y:1992:i:4:p:372-385
    DOI: 10.1287/mksc.11.4.372
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mksc.11.4.372
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mksc.11.4.372?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
    ---><---

    Citations

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


    Cited by:

    1. Boztuğ, Yasemin & Hildebrandt, Lutz, 1998. "Nicht- und semiparametrische Markenwahlmodelle im Marketing," SFB 373 Discussion Papers 1998,99, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    2. Praveen K. Kopalle & Aradhna Krishna & João L. Assunção, 1999. "The role of market expansion on equilibrium bundling strategies," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 20(7), pages 365-377.
    3. Jürgen Strohhecker & Michael Hamann & Jörn-Henrik Thun, 2016. "Loading and sequencing heuristics for job scheduling on two unrelated parallel machines with long, sequence-dependent set-up times," International Journal of Production Research, Taylor & Francis Journals, vol. 54(22), pages 6747-6767, November.
    4. Roozbeh Irani-Kermani & Edward C. Jaenicke & Ardalan Mirshani, 2023. "Accommodating heterogeneity in brand loyalty estimation: application to the U.S. beer retail market," Journal of Marketing Analytics, Palgrave Macmillan, vol. 11(4), pages 820-835, December.
    5. Little, John D. C. & Anderson, Eric T., 1994. "A product choice model with marketing, filtering and purchase feedback," Working papers 3670-94., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    6. David R. Bell & James M. Lattin, 2000. "Looking for Loss Aversion in Scanner Panel Data: The Confounding Effect of Price Response Heterogeneity," Marketing Science, INFORMS, vol. 19(2), pages 185-200, May.
    7. Moon, Sangkil & Voss, Glenn, 2009. "How do price range shoppers differ from reference price point shoppers?," Journal of Business Research, Elsevier, vol. 62(1), pages 31-38, January.
    8. Sergio Brasini & Marzia Freo & Giorgio Tassinari, 2005. "The effects of marketing activities on fast moving consumer good purchases : the case of yoghurt Italian market," Quaderni di Dipartimento 2, Department of Statistics, University of Bologna.
    9. Praveen K. Kopalle & Carl F. Mela & Lawrence Marsh, 1999. "The Dynamic Effect of Discounting on Sales: Empirical Analysis and Normative Pricing Implications," Marketing Science, INFORMS, vol. 18(3), pages 317-332.
    10. Irani-Kermani, Roozbeh & Jaenicke, Edward C., 2018. "Generalizing Variety Seeking Measurement from Brand Space to Product Attribute Space," 2018 Annual Meeting, August 5-7, Washington, D.C. 273818, Agricultural and Applied Economics Association.
    11. Ngobo, Paul-Valentin & Legohérel, Patrick & Guéguen, Nicolas, 2010. "A cross-category investigation into the effects of nine-ending pricing on brand choice," Journal of Retailing and Consumer Services, Elsevier, vol. 17(5), pages 374-385.
    12. J. Miguel Villas-Boas & Russell S. Winer, 1999. "Endogeneity in Brand Choice Models," Management Science, INFORMS, vol. 45(10), pages 1324-1338, October.
    13. Chen, Bo & Saghaian, Sayed, 2017. "Does Consumers’ Preference for Organic Foods Affect Their Store Format Choices?," 2017 Annual Meeting, February 4-7, 2017, Mobile, Alabama 252827, Southern Agricultural Economics Association.
    14. Byun, Kyung-Ah (Kay) & Duhan, Dale F. & Dass, Mayukh, 2020. "The preservation of loyalty halo effects: An investigation of the post-product-recall behavior of loyal customers," Journal of Business Research, Elsevier, vol. 116(C), pages 163-175.
    15. Bernhard Baumgartner & Harald Hruschka, 2002. "Ein Discrete Choice-Modell zur Erklärung von Markentreue auf Grundlage von Theorien des Lernens und der wahrgenommenen Unsicherheit," Schmalenbach Journal of Business Research, Springer, vol. 54(4), pages 299-316, June.
    16. Irani-Kermani, Roozbeh & Jaenicke, Edward C., 2017. "Accommodating Heterogeneity in Brand Loyalty Estimation: Application to the U.S. Beer Retail," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258203, Agricultural and Applied Economics Association.
    17. Pierre Volle, 2001. "The Short-Term Effect of Store-Level Promotions on Store Choice and the Moderating Role of Individual Variables," Post-Print halshs-00164831, HAL.
    18. Volle, Pierre, 2001. "The short-term effect of store-level promotions on store choice, and the moderating role of individual variables," Journal of Business Research, Elsevier, vol. 53(2), pages 63-73, August.

    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:inm:ormksc:v:11:y:1992:i:4:p:372-385. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.