1. Bayesian Variable Selections for Probit Models with Componentwise Gibbs Samplers.
- Author
-
Chang, Sheng-Mao, Chen, Ray-Bing, and Chi, Yunchan
- Subjects
BAYESIAN analysis ,MATHEMATICAL variables ,PROBIT analysis ,GIBBS sampling ,STOCHASTIC models ,PARAMETERS (Statistics) - Abstract
This article considers Bayesian variable selection problems for binary responses via stochastic search variable selection and Bayesian Lasso. To avoid matrix inversion in the corresponding Markov chain Monte Carlo implementations, the componentwise Gibbs sampler (CGS) idea is adopted. Moreover, we also propose automatic hyperparameter tuning rules for the proposed approaches. Simulation studies and a real example are used to demonstrate the performances of the proposed approaches. These results show that CGS approaches do not only have good performances in variable selection but also have the lower batch mean standard error values than those of original methods, especially for large number of covariates. [ABSTRACT FROM PUBLISHER]
- Published
- 2016
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