Matrix and graph representations of vine copula structures. (arXiv:2205.04783v1 [stat.ML])

Vine copulas can efficiently model a large portion of probability
distributions. This paper focuses on a more thorough understanding of their
structures. We are building on well-known existing constructions to represent
vine copulas with graphs as well as matrices. The graph representations include
the regular, cherry and chordal graph sequence structures, which we show
equivalence between. Importantly we also show that when a perfect elimination
ordering of a vine structure is given, then it can always be uniquely
represented with …

arxiv copula graph ml