Vine structures

A vine copula decomposes a multivariate copula density into bivariate pair-copula terms organized in trees. VineCopulas.jl implements three structure families.

• C-vine: each tree is organized around a root variable.

• D-vine: each tree follows a path structure.

• R-vine: the general regular-vine representation, including C- and D-vines as special cases.

For a -dimensional untruncated vine, tree contains   pair copulas. The density is the product of those pair-copula densities evaluated at recursively computed conditional arguments.

Use C- or D-vines when their structure is meaningful for the application. Use an R-vine when the dependence graph should be selected more flexibly from the data.