JSM 2011 Online Program

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Abstract Details

Activity Number: 224
Type: Topic Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and Marketing
Abstract - #301595
Title: Binary Quantile Regression: A Bayesian Approach Based on the Asymmetric Laplace Distribution
Author(s): Dries F. Benoit*+ and Dirk Van den Poel
Companies: Ghent University and Ghent University
Address: Tweekerkenstraat 2, Gent, 9000, Belgium
Keywords: quantile regression ; asymmetric laplace distribution ; bayesian ; dichotomous response data
Abstract:

This paper develops a Bayesian method for quantile regression for dichotomous response data. The frequentist approach to this type of regression has proven problematic in both optimizing the objective function and making inference on the parameters. By accepting additional distributional assumptions on the error terms, the Bayesian method proposed sets the problem in a parametric framework in which these problems are avoided. To test the applicability of the method, we ran two Monte-Carlo experiments and applied it to Horowitz' (1993) often studied work-trip mode choice dataset. Compared to previous estimates for the latter dataset, the method proposed leads to a different economic interpretation.


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