On the development of a semi-nonparametric generalized multinomial logit model for travel-related choices

PLoS One

Ke Wang¹  Yajie Zou¹  Xin Ye¹  Ram M. Pendyala² 

[1] Key Laboratory of Road and Traffic Engineering of Ministry of Education, College of Transportation Engineering, Tongji University, Shanghai, China;School of Sustainable Engineering and the Built Environment, Arizona State University, Tempe, Arizona, United States of America

关键词: Human mobility;    Probability density;    Decision making;    Polynomials;    Probability distribution;    Normal distribution;    Transportation;    Statistical models;   

DOI  :  10.1371/journal.pone.0186689

学科分类：医学（综合）

来源: Public Library of Science

【 摘 要 】

A semi-nonparametric generalized multinomial logit model, formulated using orthonormal Legendre polynomials to extend the standard Gumbel distribution, is presented in this paper. The resulting semi-nonparametric function can represent a probability density function for a large family of multimodal distributions. The model has a closed-form log-likelihood function that facilitates model estimation. The proposed method is applied to model commute mode choice among four alternatives (auto, transit, bicycle and walk) using travel behavior data from Argau, Switzerland. Comparisons between the multinomial logit model and the proposed semi-nonparametric model show that violations of the standard Gumbel distribution assumption lead to considerable inconsistency in parameter estimates and model inferences.

【 授权许可】

CC BY