Date of Award

Summer 2016

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics & Statistics

Committee Director

N. Rao Chaganty

Committee Member

Norou Diawara

Committee Member

Kayoung Park

Committee Member

Rajesh Paleti

Abstract

A popular tool for analyzing product choices of consumers is the well-known conditional logit discrete choice model. Originally publicized by McFadden (1974), this model assumes that the random components of the underlying latent utility functions of the consumers follow independent Gumbel distributions. However, in practice the independence assumption may be violated and a more reasonable model should account for the dependence of the utilities. In this dissertation we use the Gaussian copula with compound symmetric and autoregressive of order one correlation matrices to construct a general multivariate model for the joint distribution of the utilities. The induced correlations on the utilities and the choice probabilities are studied using analytic expressions and simulations. For regression with consumer and product specic covariates, we derive expressions for the likelihood function and the score functions. We use numerical methods and computer code to obtain the maximum likelihood estimates of the regression and correlation parameters. The standard errors of the estimates were obtained using bootstrap. Comparison of our model with other competing methods and practical applicability is illustrated using both real world consumer preference and simulated data.

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DOI

10.25777/bkg8-cn18

ISBN

9781369170535

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