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Bayesian nonparametric mixed random utility models

Published: 01 June 2012 Publication History

Abstract

We propose a mixed multinomial logit model, with the mixing distribution assigned a general (nonparametric) stick-breaking prior. We present a Markov chain Monte Carlo (MCMC) algorithm to sample and estimate the posterior distribution of the model's parameters. The algorithm relies on a Gibbs (slice) sampler that is useful for Bayesian nonparametric (infinite-dimensional) models. The model and algorithm are illustrated through the analysis of real data involving 10 choice alternatives, and we prove the posterior consistency of the model.

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Published In

cover image Computational Statistics & Data Analysis
Computational Statistics & Data Analysis  Volume 56, Issue 6
June, 2012
888 pages

Publisher

Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 June 2012

Author Tags

  1. Bayesian nonparametrics
  2. Mixed multinomial logit model
  3. Stick-breaking priors

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