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

机译：关于旅行相关选择的半非参数广义多项式logit模型的开发

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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.

机译：本文提出了一个半非参数化的广义多项式logit模型，该模型使用正交的Legendre多项式建立以扩展标准Gumbel分布。所得的半非参数函数可以表示大量多峰分布族的概率密度函数。该模型具有封闭形式的对数似然函数，可促进模型估计。所提出的方法被用于使用来自瑞士阿尔高的旅行行为数据在四种选择（自动，公交，自行车和步行）中对通勤模式选择进行建模。多项式logit模型与拟议的半非参数模型之间的比较表明，违反标准Gumbel分布假设会导致参数估计和模型推论中出现相当大的不一致。

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期刊名称 other
作者
Ke Wang; Xin Ye; Ram M. Pendyala; Yajie Zou;
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年(卷),期 -1(12),10
年度 -1
页码 e0186689
总页数 19
原文格式 PDF
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专利

1. On the development of a semi-nonparametric generalized multinomial logit model for travel-related choices [J] . Ke Wang, Xin Ye, Ram M. Pendyala, PLoS One . 2017,第10期

机译：关于旅行相关选择的半非参数广义多项式logit模型的开发
2. A comparison of generalized multinomial logit and latent class approaches to studying consumer heterogeneity with some extensions of the generalized multinomial logit model [J] . Joseph Pancras, Dipak K. Dey Applied stochastic models in business and industry . 2011,第6期

机译：广义多项式logit与潜在类方法研究消费者异质性的比较，以及广义多项式logit模型的一些扩展
3. Rejoinder to Fong (2011) and Lenk (2011)'s comments on 'A comparison of generalized multinomial logit and latent class approaches to studying consumer heterogeneity with some extensions of the generalized multinomial logit model' [J] . JOSEPH PANCRAS, DIPAK K. DEY Applied stochastic models in business and industry . 2011,第6期

机译：关于Fong（2011）和Lenk（2011）的评论：“广义多项式logit与潜在类方法比较研究消费者异质性以及广义多项式logit模型的一些扩展”
4. The Generalised Multinomial ial Logit model: Misinterpreting scale and preference heterogeneity in discrete choice models or untangling the un-untanglable? [C] . John Matthew Rose, Stephane Hess, William H. Greene, Transportation Research Board Annual meeting . 2013

机译：广义多项式Logit模型：在离散选择模型中错误地解释了规模和偏好异质性，或者使不可分的纠缠不清？
5. Generalized Partial Least Squares Approach for Nominal Multinomial Logit Regression Models with a Functional Covariate. [D] . Albaqshi, Amani Mohammed H. 2017

机译：具有函数协变量的名义多项式对数回归模型的广义偏最小二乘方法。
6. Generalized Self-Consistency: Multinomial logit model and Poisson likelihood [O] . Alex Tsodikov, Solomon Chefo -1

机译：广义自洽：多项式logit模型和泊松似然
7. On the development of a semi-nonparametric generalized multinomial logit model for travel-related choices. [O] . Ke Wang, Xin Ye, Ram M Pendyala, 2017

机译：关于旅行相关选择的半非参数广义多项Logit模型的开发。

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

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