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Multinomial probit estimation without nuisance parameters

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  • Jon A. Breslaw

Abstract

A feasible multinomial estimation procedure is derived, which does not require parameterization of the elements in the covariance matrix. The estimation is carried out using a simulated expectation-maximization algorithm, where the covariance structure is evaluated based on a set of score functions, while the structural coefficients are derived using standard multinomial probit (MNP) conditional on the given covariance structure. This methodology is demonstrated using a Monte Carlo simulation on both rank-ordered and non-ranked data, and on a real data set involving the choice of local residential telephone service. For limited finite samples, the procedure is shown to be superior to conventional MNP since it is faster, involves fewer parameters, and generates estimates with smaller variances. Copyright Royal Economic Society, 2002

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  • Jon A. Breslaw, 2002. "Multinomial probit estimation without nuisance parameters," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 417-434, June.
    • Handle: RePEc:ect:emjrnl:v:5:y:2002:i:2:p:417-434
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    Cited by:

    1. B. Larivière & D. Van Den Poel, 2004. "Investigating the role of product features in preventing customer churn, by using survival analysis and choice modeling: The case of financial services," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 04/223, Ghent University, Faculty of Economics and Business Administration.
    2. Anna Gloria Billé & Samantha Leorato, 2017. "Quasi-ML estimation, Marginal Effects and Asymptotics for Spatial Autoregressive Nonlinear Models," BEMPS - Bozen Economics & Management Paper Series BEMPS44, Faculty of Economics and Management at the Free University of Bozen.
    3. Paudel, Krishna P. & Poudel, Biswo N. & Dunn, Michael A. & Pandit, Mahesh, 2009. "An Analysis of Rank Ordered Data," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49518, Agricultural and Applied Economics Association.

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