Abstract
Vine copulas have become the standard tool for modelling complex probabilistic dependence. It has been shown that the number of regular vines grows extremely quickly with the number of nodes. Chimera is the first attempt to map the vast space of regular vines. Software for operating with regular vines is available for R, matlab and Python. However, no dataset containing all regular vines is available. Our atlas of regular vines, Chimera, comprises all 24 4 × 4 matrices representing regular vines on 4 nodes, 480 5 × 5 matrices representing regular vines on 5 nodes, 23,040 6 × 6 matrices representing regular vines on 6 nodes, 2,580,480 7 × 7 matrices representing regular vines on 7 nodes and 660,602,880 8 × 8 matrices representing regular vines on 8 nodes. Regular vines in Chimera are classified according to their tree-equivalence class. We fit all regular vines to synthetic data to demonstrate the potential of Chimera. Chimera provides thus a tool for researchers to navigate this vast space in an orderly fashion.
Original language | English |
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Article number | 337 |
Number of pages | 10 |
Journal | Scientific Data |
Volume | 10 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2023 |
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Chimera: a database with regular vine matrices on 4 to 8 nodes
Morales Napoles, O. (Creator), Rajabi-Bahaabadi, M. (Creator), Torres Alves, G. A. (Creator) & 't Hart, C. M. P. (Creator), TU Delft - 4TU.ResearchData, 2 Jun 2023
DOI: 10.4121/C.6210346
Dataset/Software: Dataset