Abstract
AbstractVine 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.
Publisher
Springer Science and Business Media LLC
Subject
Library and Information Sciences,Statistics, Probability and Uncertainty,Computer Science Applications,Education,Information Systems,Statistics and Probability
Reference37 articles.
1. Joe, H. Multivariate extreme-value distributions with applications to environmental data. Canadian Journal of Statistics 22, 47–64, https://doi.org/10.2307/3315822 (1994).
2. Cooke, R. M. Markov and entropy properties of tree and vines-dependent variables. In Proceedings of the ASA Section of Bayesian Statistical Science (American Statistical Association, 1997).
3. Aas, K., Czado, C., Frigessi, A. & Bakken, H. Pair-copula constructions of multiple dependence. Insurance: Mathematics and Economics 44, 182–198, https://doi.org/10.1016/j.insmatheco.2007.02.001 (2009).
4. Eita, J. & Djemo, C. Quantifying foreign exchange risk in the selected listed sectors of the johannesburg stock exchange: An sv-evt pairwise copula approach. International Journal of Financial Studies 10, https://doi.org/10.3390/ijfs10020024 (2022).
5. Li, H., Liu, Z. & Wang, S. Vines climbing higher: Risk management for commodity futures markets using a regular vine copula approach. International Journal of Finance and Economics 27, 2438–2457, https://doi.org/10.1002/ijfe.2280 (2022).
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