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Journal of the American Statistical Association, ISSN 0162-1459, 01/2015, Volume 110, Issue 509, pp. 159 - 174
In this article, we propose a Bayesian approach to inference on multiple Gaussian graphical models. Specifically, we address the problem of inferring multiple... 
Protein network | G-Wishart prior | Markov random field | INVERSE COVARIANCE ESTIMATION | LASSO | GENE-EXPRESSION | STATISTICS & PROBABILITY | VARIABLE-SELECTION | protein network | Gaussian graphical model | Bayesian inference
Journal Article
Journal of the Royal Statistical Society. Series C, Applied statistics, ISSN 0035-9254, 08/2016, Volume 65, Issue 4, pp. 619 - 640
Clinical attachment level (CAL) is regarded as the most popular measure to assess periodontal disease (PD). These probed tooth-site level measures are usually... 
Multivariate ordinal | G-Wishart | Periodontal disease | Probit stick-breaking | Nonparametric Bayes | Spatial association
Journal Article
Bayesian analysis, ISSN 1931-6690, 10/2015, Volume 10, Issue 1, pp. 109 - 138
Decoding complex relationships among large numbers of variables with relatively few observations is one of the crucial issues in science. One approach to this... 
Bayesian model selection | G-Wishart | Sparse Gaussian graphical models | Non-decomposable graphs | Birth-death process | Markov chain Monte Carlo | STATISTICS & PROBABILITY | REVERSIBLE JUMP | INFERENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SAMPLER | SELECTION | LIKELIHOOD | Statistics - Methodology
Journal Article
JOURNAL OF STATISTICAL SOFTWARE, ISSN 1548-7660, 05/2019, Volume 89, Issue 3, pp. 1 - 30
Graphical models provide powerful tools to uncover complicated patterns in multivariate data and are commonly used in Bayesian statistics and machine learning.... 
covariance selection | G-Wishart | BDgraph | STATISTICS & PROBABILITY | birth-death process | INFERENCE | Gaussian copula | Gaussian graphical models | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Markov chain Monte Carlo | SELECTION | LIKELIHOOD | Bayesian structure learning
Journal Article
Journal of the Royal Statistical Society: Series B (Statistical Methodology), ISSN 1369-7412, 09/2018, Volume 80, Issue 4, pp. 727 - 747
Journal Article
Bayesian Analysis, ISSN 1936-0975, 12/2015, Volume 10, Issue 4, pp. 965 - 990
We present a Bayesian model for area-level count data that uses Gaussian random effects with a novel type of G-Wishart prior on the inverse variance-covariance... 
Disease mapping | spatial statistics | G-Wishart distribution | Markov chain Monte Carlo (MCMC) | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | CAR | CONDITIONAL AUTOREGRESSIVE MODEL | STATISTICS & PROBABILITY | disease mapping | BAYESIAN-INFERENCE | Statistics - Methodology
Journal Article
Canadian Journal of Statistics, ISSN 0319-5724, 03/2018, Volume 46, Issue 1, pp. 176 - 203
Journal Article
Electronic Journal of Statistics, ISSN 1935-7524, 2012, Volume 6, pp. 168 - 198
This paper proposes a new algorithm for Bayesian model de-termination in Gaussian graphical models under G-Wishart prior distributions. We first review recent... 
Gaussian graphical models | Gibbs sampler | Hyper-inverse wishart | Partial analytic structure | G-Wishart | Posterior simulation | Exchange algorithms | Non-decomposable graphs | posterior simulation | non-decomposable graphs | STATISTICS & PROBABILITY | partial analytic structure | SIMULATION | hyper-inverse Wishart | CHAIN MONTE-CARLO
Journal Article
Journal of the Royal Statistical Society: Series C (Applied Statistics), ISSN 0035-9254, 08/2016, Volume 65, Issue 4, pp. 619 - 640
Journal Article
IEEE Access, ISSN 2169-3536, 2018, Volume 6, pp. 34279 - 34287
Journal Article
Stat, ISSN 2049-1573, 2017, Volume 6, Issue 1, pp. 207 - 217
We study the posterior convergence behaviour of a precision matrix corresponding to a Gaussian graphical model in the high‐dimensional set‐up under sparsity... 
posterior convergence rate | G‐Wishart | precision matrix | graphical models | G-Wishart | Graphical models | Precision matrix | Posterior convergence rate | LASSO | STATISTICS & PROBABILITY | SELECTION | COVARIANCE ESTIMATION | Economic models | Decomposition | Banding | Sparsity | Convergence
Journal Article
Electronic Journal of Statistics, ISSN 1935-7524, 2014, Volume 8, Issue 1, pp. 2111 - 2137
We consider Bayesian estimation of a p x p precision matrix, when p can be much larger than the available sample size n. It is well known that consistent... 
Convergence rate | G-Wishart | Precision matrix | WISHART DISTRIBUTIONS | LARGE COVARIANCE MATRICES | LASSO | STATISTICS & PROBABILITY | convergence rate | SELECTION | LIKELIHOOD
Journal Article
Stat, ISSN 2049-1573, 2013, Volume 2, Issue 1, pp. 119 - 128
The G‐Wishart distribution is the conjugate prior for precision matrices that encode the conditional independence of a Gaussian graphical model. Although the... 
Gaussian graphical models | G‐Wishart distribution | double reversible jump | Double reversible jump | G-Wishart distribution | Samplers | Conjugates | Normalizing | Algorithms | Searching | Constants | Mathematical models | Gaussian
Journal Article
Electronic Journal of Statistics, ISSN 1935-7524, 2011, Volume 5, pp. 1935 - 7524
In Gaussian graphical models, the conjugate prior for the precision matrix K is called G-Wishart distribution, W-G(delta,D). In this paper we propose a new... 
Gaussian graphical models | Non-decomposable graphs | G-wishart distribu-tion | Metropolis-hastings algorithm | Deviance information criterion | PRIORS | Deviance Information Criterion | EXPONENTIAL-FAMILIES | G-Wishart distribution | non-decomposable graphs | STATISTICS & PROBABILITY | Metropolis-Hastings algorithm | SIMULATION
Journal Article
Electronic Journal of Statistics, ISSN 1935-7524, 2012, Volume 6, pp. 2309 - 2331
The Gaussian Graphical Model (GGM) is a popular tool for incorporating sparsity into joint multivariate distributions. The G-Wishart distribution, a conjugate... 
Gaussian graphical models | Exchange algorithms | Conditional Bayes factors | G-Wishart distribution | NON-DECOMPOSABLE GRAPHS | OUTPUT STATISTICS | conditional Bayes factors | WISHART DISTRIBUTIONS | exchange algorithms | STATISTICS & PROBABILITY | SAMPLER | COMPUTATION | COVARIANCE ESTIMATION | BAYESIAN-INFERENCE
Journal Article
Statistical Theory and Related Fields, ISSN 2475-4269, 07/2019, Volume 3, Issue 2, pp. 158 - 169
The conditional autoregressive model is a routinely used statistical model for areal data that arise from, for instances, epidemiological, socio-economic or... 
G-wishart distribution | reversible jump | Markov random field | Areal data | disease mapping | graphical model
Journal Article
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