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Bayesian Variable Selections for Probit Models with Componentwise Gibbs Samplers
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Bayesian Variable Selections for Probit Models with Componentwise Gibbs Samplers

Sheng-Mao Chang, Ray-Bing ChenYunchan Chi
Communications in Statistics: Simulation and Computation, 卷.45(8), 頁碼.2752-2766
09/2016

摘要

Batch mean standard error Bayesian Lasso Probit model Stochastic search variable selection Statistics and Probability Modeling and Simulation
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.

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