6533b861fe1ef96bd12c5727

RESEARCH PRODUCT

Binary distributions of concentric rings

Piotr ZwiernikGiovanni M. MarchettiNanny WermuthNanny Wermuth

subject

Statistics and ProbabilityContingency tableKronecker productDiscrete mathematicsNumerical AnalysisBinary numberStar (graph theory)Combinatoricssymbols.namesakeConditional independenceJoint probability distributionsymbolsFeature (machine learning)Node (circuits)Statistics Probability and UncertaintyMathematics

description

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.

yearjournalcountryeditionlanguage
2014-09-01Journal of Multivariate Analysis
https://doi.org/10.1016/j.jmva.2014.05.010