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A New Measure of Dependence Between Continuous and Multinomial Random Variables
Lu Yang, Galin L. Jones
A novel measure of dependence between a continuous random variable and a multinomial random variable is introduced. The proposed measure is based on the Hellinger distance between…
A Bayesian Generalized Bridge Regression Approach to Covariance Estimation in the Presence of Covariates
Christina Zhao, Ding Xiang, Galin L. Jones +1
A hierarchical Bayesian approach that permits simultaneous inference for the regression coefficient matrix and the error precision (inverse covariance) matrix in the multivariate l…
Multivariate initial sequence estimators in Markov chain Monte Carlo
Ning Dai, Galin L. Jones
Markov chain Monte Carlo (MCMC) is a simulation method commonly used for estimating expectations with respect to a given distribution. We consider estimating the covariance matrix…
Fully Bayesian Penalized Regression with a Generalized Bridge Prior
Ding Xiang, Galin L. Jones
We consider penalized regression models under a unified framework where the particular method is determined by the form of the penalty term. We propose a fully Bayesian approach th…
Comment: Gibbs Sampling, Exponential Families, and Orthogonal Polynomials
Galin L. Jones, Alicia A. Johnson
Comment on ``Gibbs Sampling, Exponential Families, and Orthogonal Polynomials'' [arXiv:0808.3852]