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Estimation des Modeles Probit Polytomiques: Un Survol des Techniques

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  • Bolduc, D.
  • Kaci, M.
Abstract
The Multinomial Probit (MNP) model provides the most general framework to allow for interdependent alternatives in discrete choice analysis. The primary impediment to this methodology is related to the dimensionality of the response probabilities which are multifold normal integrals of about the size of the choice set. During the last two decades, numerous researches have been devoted to develop practical methodologies to replace these hard to compute choice probabilities in the estimation process. The main objective of this paper is to survey the major and the most important of these techniques. Parce qu’il admet des structures très générales d’interdépendance entre les modalités, le probit polytomique (MNP) fournit une des formes les plus intéressantes pour modéliser les choix discrets qui découlent d’une maximisation d’utilité aléatoire. L’obstacle majeur et bien connu dans l’estimation de ce type de modèle tient à la complexité que prennent les calculs lorsque le nombre de modalités considérées est élevé. Cette situation est due essentiellement à la présence d’intégrales normales multidimensionnelles qui définissent les probabilités de sélection. Au cours des deux dernières décennies, de nombreux efforts ont été effectués visant à produire des méthodes qui permettent de contourner les difficultés de calcul liées à l’estimation des modèles probit polytomiques. L’objectif de ce texte consiste à produire un survol critique des principales méthodes mises de l’avant jusqu’à maintenant pour rendre opérationnel le cadre MNP. Nous espérons qu’il éclairera les praticiens de ces modèles quant au choix de technique d’estimation à favoriser au cours des prochaines années.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Bolduc, D. & Kaci, M., 1991. "Estimation des Modeles Probit Polytomiques: Un Survol des Techniques," Papers 9127, Laval - Recherche en Energie.
    • Handle: RePEc:fth:lavaen:9127
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    References listed on IDEAS

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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. Vassilis A. Hajivassiliou & Daniel McFadden, 1990. "The Method of Simulated Scores for the Estimation of LDV Models with an Application to External Debt Crisis," Cowles Foundation Discussion Papers 967, Cowles Foundation for Research in Economics, Yale University.
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    8. Bolduc, D. & Kaci, M., 1991. "Multinomial Probit Models with Factor-Based Autoregressive Errors: A Computationally Efficient Estimation Approach," Papers 9118, Laval - Recherche en Energie.
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    2. Moussa Dieng & Martine Audibert & Jean-Yves Le Hesran & Anta Ta Dial, 2015. "Déterminants de la demande de soins en milieu péri-urbain dans un contexte de subvention à Pikine, Sénégal," CERDI Working papers halshs-01027504, HAL.
    3. Anta TA DIAL & Moussa DIENG & Martine AUDIBERT & Jean-Yves LE HESRAN, 2014. "Déterminants de la demande de soins en milieu péri-urbain dans un contexte de subvention à Pikine, Sénégal," Working Papers 201415, CERDI.

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