A Maximum Entropy Estimator for the Aggregate Hierarchical Logit Model

Author： Donoso Pedro de Grange Louis González Felipe

Publisher： MDPI

E-ISSN： 1099-4300|13|8|1425-1445

ISSN： 1099-4300

Source： Entropy, Vol.13, Iss.8, 2011-08, pp. : 1425-1445

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Abstract

A new approach for estimating the aggregate hierarchical logit model is presented. Though usually derived from random utility theory assuming correlated stochastic errors, the model can also be derived as a solution to a maximum entropy problem. Under the latter approach, the Lagrange multipliers of the optimization problem can be understood as parameter estimators of the model. Based on theoretical analysis and Monte Carlo simulations of a transportation demand model, it is demonstrated that the maximum entropy estimators have statistical properties that are superior to classical maximum likelihood estimators, particularly for small or medium-size samples. The simulations also generated reduced bias in the estimates of the subjective value of time and consumer surplus.