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Unifying Markov properties for graphical models (2016).

Estimation of means in graphical Gaussian models with symmetries, Annals of Statistics, 40, 2423-2436, 2012.

We then present a method for directly computing the marginal likelihood of every DAG model given a random sample with no missing observations.

We apply this methodology to Gaussian DAG models which consist of a recursive set of linear regression models.

Restricted concentration models - graphical Gaussian models with concentration parameters restricted to being equal.

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@ARTICLE{Geiger99parameterpriors, author = {Dan Geiger and David Heckerman}, title = {Parameter Priors for Directed Acyclic Graphical Models and the Characterization of Several Probability Distributions}, journal = {Annals of Statistics}, year = {1999}, volume = {30}, pages = {2002}} We develop simple methods for constructing parameter priors for model choice among Directed Acyclic Graphical (DAG) models.In particular, we introduce several assumptions that permit the construction of parameter priors for a large number of DAG models from a small set of assessments.



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