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Directed Cyclic Graphical Representations of Feedback Peter Spirtes

Summary: 1
Directed Cyclic Graphical Representations of Feedback
Models 1
Peter Spirtes
1. Introduction
The introduction of statistical models represented by directed acyclic
graphs (DAGs) has proved fruitful in the construction of expert systems,
in allowing efficient updating algorithms that take advantage of
conditional independence relations (Pearl, 1988, Lauritzen et. al., 1993),
and in inferring causal structure from conditional independence relations
(Spirtes and Glymour, 1991, Spirtes, Glymour and Scheines, 1993, Pearl
and Verma, 1991, Cooper, 1992). As a framework for representing the
combination of causal and statistical hypotheses, DAG models have shed
light on a number of issues in statistics ranging from Simpson's Paradox to
experimental design (Spirtes, Glymour and Scheines, 1993). The relations
of DAGs with statistical constraints, and the equivalence and
distinguishability properties of DAG models, are now well understood,
and their characterization and computation involves three properties
connecting graphical structure and probability distributions: (i) a local


Source: Andrews, Peter B. - Department of Mathematical Sciences, Carnegie Mellon University


Collections: Mathematics