Discrete choice modeling with interdependencies : a spatial binary probit model with endogenous weight matrix

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Authors
Zhou, Yiwei
Issue Date
2015-05
Type
Electronic thesis
Thesis
Language
ENG
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Civil engineering
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Abstract
Many transportation phenomena involve making discrete choices with interdependencies. For example, a traveler may choose to make a trip or not (binary), travel frequency (ranked integers), and different travel modes (multi-categorical). The interdependencies refer to the situation where decision makers' behaviors influence each other. The interdependency may be caused by geographic proximity, economic interactions, or social connections between decision makers. A spatial econometric model can be established to address such interdependencies by using a weight matrix, where the element in the matrix is defined based on geographic distance or socioeconomic distance between pairs of decision makers. Traditionally, the weight matrix is treated as exogenous. This assumption is inappropriate in contexts where the interdependency structure is correlated with the final response variable. In reality, however, such correlation often occurs. For example, residents' decisions on residential locations may influence their social network in return. Carriers' travel behavior decisions may reshape their economic interactions with their peers. In such cases, the exogenous weight matrix assumption will lead to biased and inconsistent parameter estimates. Dealing with endogenous weight matrix in spatial models is an important problem in spatial econometrics. However, there has been limited work on spatial models with endogenous weight matrices, and no work has been done for discrete responses with endogenous weight matrix. The goal of this dissertation is to fill this gap.
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May 2015
School of Engineering
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Rensselaer Polytechnic Institute, Troy, NY
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