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

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  • Ke Wang
  • Xin Ye
  • Ram M Pendyala
  • Yajie Zou

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.

Suggested Citation

  • Ke Wang & Xin Ye & Ram M Pendyala & Yajie Zou, 2017. "On the development of a semi-nonparametric generalized multinomial logit model for travel-related choices," PLOS ONE, Public Library of Science, vol. 12(10), pages 1-19, October.
    • Handle: RePEc:plo:pone00:0186689
    DOI: 10.1371/journal.pone.0186689
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    References listed on IDEAS

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    Cited by:

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    2. Ke Wang & Xin Ye, 2021. "Development of alternative stochastic frontier models for estimating time-space prism vertices," Transportation, Springer, vol. 48(2), pages 773-807, April.
    3. Qian Duan & Xin Ye & Jian Li & Ke Wang, 2020. "Empirical Modeling Analysis of Potential Commute Demand for Carsharing in Shanghai, China," Sustainability, MDPI, vol. 12(2), pages 1-18, January.
    4. Saxena, Shobhit & Pinjari, Abdul Rawoof & Roy, Ananya & Paleti, Rajesh, 2021. "Multiple discrete-continuous choice models with bounds on consumptions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 149(C), pages 237-265.
    5. Ke Wang & Xin Ye & Jie Ma, 2018. "An empirical analysis of post-work grocery shopping activity duration using modified accelerated failure time model to differentiate time-dependent and time-independent covariates," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-17, November.

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