Conditioning trees

There are a series of different representations of .. _conditioning trees: http://cgroll.github.io/copula_theory/rvines/condTrees.html.

CTree types

Representation as array of individual paths to leaf nodes.

CTreePaths:

root:Int paths:Array{Array{Int, 1}, 1}

Parent reference notation, where entry ii denotes the single parent of node ii.

CTreeParRef:

tree:Array{Int, 1}

CTreeAdja

Tree dimensions

width(tr::CTree)

Number of paths / leaf nodes of tree.

maxDepth(tr::CTree)

Number of nodes of longest path.

getDepths(tr::CTree)

Length of each path to leaf nodes.

Tree entries

getindex()

Yet to be defined correctly! Differs for different implementations.

allNodes(tr::CTree)

Array{Int, 1} of all occurring nodes in sorted order.

allPathNodes(tr::CTree)

Array{Int, 1} of all occurring nodes except root in sorted order.