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Bayesian auxiliary variable models for binary and multinomial regression

Open access
Held, Leonhard, Holmes, Chris C.·2006·Bayesian Analysis

Abstract

In this paper we discuss auxiliary variable approaches to Bayesian binary and multinomial regression. These approaches are ideally suited to automated Markov chain Monte Carlo simulation. In the first part we describe a simple technique using joint updating that improves the performance of the conventional probit regression algorithm. In the second part we discuss auxiliary variable methods for inference in Bayesian logistic regression, including covariate set uncertainty. Finally, we show how the logistic method is easily extended to multinomial regression models. All of the algorithms are fully automatic with no user set parameters and no necessary Metropolis-Hastings accept/reject steps.

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Metadata

Authors
Held, L., & Holmes, C. C.
Venue
Bayesian Analysis
Published
2006-03-01
Volume
1
Issue
1
Pages
145-168
ISSN
  • 1931-6690 (ISSN-L)
  • 1936-0975
OpenAlex
W2051817458
Cited by
434
References
18
FWCI
15.25
Type
journal article
Language
en
Open access
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CoChat. (2026). Citation check: Bayesian auxiliary variable models for binary and multinomial regression. https://app.cochat.ai/papers/10.1214/06-ba105
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Held, L., & Holmes, C. C. (2006). Bayesian auxiliary variable models for binary and multinomial regression. Bayesian Analysis. https://doi.org/10.1214/06-ba105

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