Bayesian Graphical Regression

• Published in: Journal of the American Statistical Association Vol. 114; no. 525; pp. 184 - 197
• Main Authors: Ni, Yang, Stingo, Francesco C., Baladandayuthapani, Veerabhadran
• Format: Journal Article
• Language: English
• Published: United States Taylor & Francis 02.01.2019; Taylor & Francis Group,LLC; Taylor & Francis Ltd
• Subjects: Bayesian analysis; Bayesian theory; Cancer; Computer simulation; Dependence; Directed acyclic graph; equations; gene regulatory networks; Genomics; Graph theory; Graphs; Modelling; Myeloma; Nonlocal prior; Precision medicine; Predictive network; Regression analysis; Simulation; Specification; Statistical methods; Statistics; Subject-specific graph; Theory and Methods; Varying graph structure; Predictive network; Directed acyclic graph; Varying graph structure; Subject-specific graph; Non-local prior

We consider the problem of modeling conditional independence structures in heterogenous data in the presence of additional subject-level covariates-termed graphical regression. We propose a novel specification of a conditional (in)dependence function of covariates-which allows the structure of a dir...