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GraphicalModels : Table of Contents
GraphicalModels
-- a package for discrete and Gaussian statistical graphical models
bidirectedEdgesMatrix
-- matrix corresponding to the bidirected edges of a bigraph or a mixed graph
Coefficients
-- optional input to choose the base field
compU
-- key in hash table gaussianRingData: component of undirected edges in vertex set of a mixed graph
compW
-- key in hash table gaussianRingData: component of bidirected edges in vertex set of a mixed graph
conditionalIndependenceIdeal
-- ideal of a list of conditional independent statements
covarianceMatrix
-- covariance matrix of a Gaussian graphical model
directedEdgesMatrix
-- matrix corresponding to the directed edges of a digraph or a mixed graph
discreteVanishingIdeal
-- vanishing ideal of a discrete graphical model
gaussianMatrices
-- matrices whose minors generate the Gaussian conditional independence ideal
gaussianParametrization
-- parametrization of the covariance matrix in terms of treks
gaussianParametrization(...,SimpleTreks=>...)
-- optional input for gaussianParametrization
gaussianRing
-- ring of Gaussian correlations on n random variables or a graphical model
gaussianRing(...,kVariableName=>...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianRing(...,lVariableName=>...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianRing(...,pVariableName=>...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianRing(...,sVariableName=>...)
-- symbol used for indeterminates in a ring of Gaussian joint probability distributions
gaussianRing(Bigraph)
-- ring of Gaussian correlations of a graphical model coming from a bigraph
gaussianRing(Digraph)
-- ring of Gaussian correlations of a graphical model coming from a digraph
gaussianRing(Graph)
-- ring of Gaussian correlations of a graphical model coming from an undirected graph
gaussianRing(MixedGraph)
-- ring of Gaussian correlations of a graphical model coming from a mixed graph
gaussianRing(ZZ)
-- ring of Gaussian correlations on n random variables
gaussianRingData
-- hash table with main parameters of a gaussian ring
gaussianVanishingIdeal
-- vanishing ideal of a Gaussian graphical model
gaussianVanishingIdeal(...,OldVersion=>...)
-- optional argument in gaussianVanishingIdeal to use old method for gaussianRings coming from directed graphs
globalMarkov
-- global Markov statements for a graph or a directed graph
graphType
-- class of graph used to generate a gaussian ring
hiddenMap
-- linear map between the ring of a model with one hidden variable and the ring of the corresponding fully observed model
identifyParameters
-- solve the identifiability problem for Gaussian graphical models
inverseMarginMap
-- inverse of the marginMap
kVar
-- key in hash table gaussianRingData: labels of k variables
kVariableName
-- optional input to choose the variable names for concentration matrix in gaussianRing
localMarkov
-- local Markov statements for a graph or a directed graph
lVar
-- key in hash table gaussianRingData: labels of l variables
lVariableName
-- optional input to choose the variable names for the regression matrix
marginMap
-- linear map on joint distributions for discrete random variables replacing marginals for indeterminates
markovMatrices
-- matrices whose minors form the ideal of a list of independence statements
markovRing
-- ring of joint probability distributions on several discrete random variables
markovRing(...,Coefficients=>...)
-- optional input to choose the base field in markovRing or gaussianRing
markovRing(...,VariableName=>...)
-- symbol used for indeterminates in a ring of discrete joint probability distributions
nn
-- key in hash table gaussianRingData: total number of variables
OldVersion
-- optional argument in gaussianVanishingIdeal to use old method for gaussianRings coming from directed graphs
pairMarkov
-- pairwise Markov statements for a graph or a directed graph
pVar
-- key in hash table gaussianRingData: labels of p variables
pVariableName
-- optional input to choose the variable names for the covariance matrix of the error terms
SimpleTreks
-- optional input for gaussianParametrization
sVar
-- key in hash table gaussianRingData: labels of s variables
sVariableName
-- optional input to choose the variable names for the covariance matrix
trekIdeal
-- trek separation ideal of a mixed graph
trekSeparation
-- trek separation statements of a mixed graph
undirectedEdgesMatrix
-- matrix corresponding to the edges of an undirected graph
VariableName
-- optional input to choose indeterminate name in markovRing