The `"UGgmm"`

class is the class of undirected Gaussian graphical
Markov models defined within the `qpgraph`

package to store
simulate and manipulate this type of graphical Markov models (GMMs).

An undirected Gaussian GMM is a family of multivariate normal distributions sharing a set of conditional independences encoded by means of an undirected graph. Further details can be found in the book of Lauritzen (1996).

Objects can be created by calls of the form `UGgmm(g, ...)`

corresponding
to constructor methods or `rUGgmm(n, g, ...)`

corresponding to random
simulation methods.

`p`

:Object of class

`"integer"`

storing the dimension of the undirected Gaussian GMM corresponding to the number of random variables.`g`

:Object of class

`graphBAM-class`

storing the associated undirected labeled graph.`mean`

:Object of class

`"numeric"`

storing the mean vector.`sigma`

:Object of class

`dspMatrix-class`

storing the covariance matrix.

`UGgmm(g)`

Constructor method where

`g`

can be either an adjacency matrix or a`graphBAM-class`

object.`rUGgmm(n, g)`

Constructor simulation method that allows one to simulate undirected Gaussian GMMs where

`n`

is the number of GMMs to simulate and`g`

can be either a graphParam object, an adjacency matrix or a`graphBAM-class`

object.`names(x)`

Accessor method to obtain the names of the elements in the object

`x`

that can be retrieved with the`$`

accessor operator.`$`

Accessor operator to retrieve elements of the object in an analogous way to a

`list`

.`dim(x)`

Dimension of the undirected Gaussian GMM corresponding to the total number of random variables.

`dimnames(x)`

Names of the random variables in the undirected Gaussian GMM.

`show(object)`

Method to display some bits of information about the input undirected Gaussian GMM specified in

`object`

.`summary(object)`

Method to display a sumamry of the main features of the input undirected Gaussian GMM specified in

`object`

.`plot(x, ...)`

Method to plot the undirected graph associated to the the input undirected Gaussian GMM specified in

`x`

. It uses the plotting capabilities from the`Rgraphviz`

library to which further arguments specified in`...`

are further passed.

R. Castelo

Lauritzen, S.L. *Graphical models*. Oxford University Press, 1996.

HMgmm

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