msep

<code>msep</code> determines whether two set of nodes are m-separated
by a third set of nodes.

graphs

mixed graph

m-separation

d-separation

Provides functions for defining
mixed graphs containing three types of edges, directed,
undirected and bi-directed, with possibly multiple edges.
These graphs are useful because they capture fundamental
independence structures in multivariate distributions
and in the induced distributions after marginalization
and conditioning.
The package is especially concerned with Gaussian graphical
models for
(i) ML estimation for directed acyclic graphs, undirected and
bi-directed graphs and ancestral graph models
(ii) testing several conditional independencies
(iii) checking global identification of DAG Gaussian models
with one latent variable
(iv) testing Markov equivalences and generating Markov
equivalent graphs of specific types.

Giovanni M Marchetti

Graphical Markov Models with Mixed Graphs

Giovanni M. Marchetti

Mathias Drton

Kayvan Sadeghi

msep function

<dl> <dt>a</dt>
<dd>An adjacency matrix, or a graph that can be a <code>graphNEL</code> or an <code>igraph</code> object
or a vector of length \(3e\), where \(e\) is the number of edges of the graph,
that is a sequence of triples (type, node1label, node2label). The type
of edge can be <code>"a"</code> (arrows from node1 to node2), <code>"b"</code> (arcs), and
<code>"l"</code> (lines).</dd> <dt>alpha</dt>
<dd>A subset of the node set of <code>a</code></dd> <dt>beta</dt>
<dd>Another disjoint subset of the node set of <code>a</code></dd> <dt>C</dt>
<dd>A third disjoint subset of the node set of <code>a</code></dd></dl>

Arguments

Author

The m-separation criterion — msep

<dl>

 <dt>a</dt>
<dd>An adjacency matrix, or a graph that can be a <code>graphNEL</code> or an <code>igraph</code> object
or a vector of length \(3e\), where \(e\) is the number of edges of the graph,
that is a sequence of triples (type, node1label, node2label). The type
of edge can be <code>"a"</code> (arrows from node1 to node2), <code>"b"</code> (arcs), and
<code>"l"</code> (lines).</dd>

 <dt>alpha</dt>
<dd>A subset of the node set of <code>a</code></dd>

 <dt>beta</dt>
<dd>Another disjoint subset of the node set of <code>a</code></dd>

 <dt>C</dt>
<dd>A third disjoint subset of the node set of <code>a</code></dd>

</dl>

msep: The m-separation criterion

Description

Usage

Value

Arguments

Author

References

See Also

Examples