Likelihood Ratio Tests for a Large Directed Acyclic Graph

• Published in: Journal of the American Statistical Association Vol. 115; no. 531; pp. 1304 - 1319
• Main Authors: Li, Chunlin, Shen, Xiaotong, Pan, Wei
• Format: Journal Article
• Language: English
• Published: United States Taylor & Francis 02.07.2020; Taylor & Francis Ltd
• Subjects: Alzheimer's disease; Asymptotic properties; Chi-square test; Computational geometry; Computer simulation; Convexity; data collection; Directed acyclic graph; Gene expression; Gene network; High-dimensional inference; Independent variables; Inference; L0-regularization; Likelihood ratio; Mathematical programming; Nonconvex minimization; Power structure; Probability distribution functions; Regression analysis; regulator genes; Statistical methods; Statistics; Directed acyclic graph; L0-regularization; high-dimensional inference; gene network; nonconvex minimization

Inference of directional pairwise relations between interacting units in a directed acyclic graph (DAG), such as a regulatory gene network, is common in practice, imposing challenges because of lack of inferential tools. For example, inferring a specific gene pathway of a regulatory gene network is...