Binary distributions of concentric rings

JOURNAL OF MULTIVARIATE ANALYSIS

卷:130

Article

Wermuth, Nanny^1,2  Marchetti, Giovanni M.³  Zwiernik, Piotr⁴ 

[1] Chalmers Univ Technol, Dept Math Sci, Gothenburg, Sweden

[2] Johannes Gutenberg Univ Mainz, Dept Med Psychol & Med Sociol, Mainz, Germany

[3] Univ Florence, Dipartimento Statist Infornat Applicazioni G Pare, I-50121 Florence, Italy

[4] Univ Calif, Dept Stat, Berkeley, CA USA

关键词: Conditional independence;    Graphical Markov models;    Jointly symmetric distributions;    Labeled trees;    Latent class models;    Phylogenetic trees;    Star graphs;    Symmetric variables;   

DOI  :  10.1016/j.jmva.2014.05.010

来源: Elsevier

【 摘 要 】

We introduce families of jointly symmetric, binary distributions that are generated over directed star graphs whose nodes represent variables and whose edges indicate positive dependences. The families are parametrized in terms of a single parameter. It is an outstanding feature of these distributions that joint probabilities relate to evenly spaced concentric rings. Kronecker product characterizations make them computationally attractive for a large number of variables. We study the behavior of different measures of dependence and derive maximum likelihood estimates when all nodes are observed and when the inner node is hidden. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free