Binary distributions of concentric rings

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Conditional independence

Graphical Markov models

Jointly symmetric distributions

Labeled trees

CONTINGENCY-TABLES

MODELS

COLLAPSIBILITY

ASSOCIATION

VARIABLES

SYSTEMS

MPSTER AP

1977

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL

V39

SYSTEMS

Publikations- och innehållstyp

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