Abstract
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.
| Original language | English (US) |
|---|---|
| Article number | e0186689 |
| Journal | PLoS One |
| Volume | 12 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 1 2017 |
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ASJC Scopus subject areas
- Biochemistry, Genetics and Molecular Biology(all)
- Agricultural and Biological Sciences(all)
Cite this
On the development of a semi-nonparametric generalized multinomial logit model for travel-related choices. / Wang, Ke; Ye, Xin; Pendyala, Ram; Zou, Yajie.
In: PLoS One, Vol. 12, No. 10, e0186689, 01.10.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the development of a semi-nonparametric generalized multinomial logit model for travel-related choices
AU - Wang, Ke
AU - Ye, Xin
AU - Pendyala, Ram
AU - Zou, Yajie
PY - 2017/10/1
Y1 - 2017/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85032456336&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85032456336&partnerID=8YFLogxK
U2 - 10.1371/journal.pone.0186689
DO - 10.1371/journal.pone.0186689
M3 - Article
VL - 12
JO - PLoS One
JF - PLoS One
SN - 1932-6203
IS - 10
M1 - e0186689
ER -