Journal
PLOS ONE
Volume 12, Issue 10, Pages -Publisher
PUBLIC LIBRARY SCIENCE
DOI: 10.1371/journal.pone.0186689
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Funding
- general project Study on the Mechanism of Travel Pattern Reconstruction in Mobile Internet Environment from the National Natural Science Foundation of China [71671129]
- key project Research on the Theories for Modernization of Urban Transport Governance from the National Natural Science Foundation of China [71734004]
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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.
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