Chimera - regular vines R (4 to 7 nodes)
收藏4TU.ResearchData2023-04-28 更新2026-04-23 收录
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https://data.4tu.nl/datasets/108e6cfc-b1e7-458c-88f5-468da4323544/1
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资源简介:
Vine copulas have become the standard tool for modelling complex probabilistic dependence. It has been shown that thenumber of regular vines grows extremely quickly with the number of nodes. Chimera is the first attempt to map the vast space ofregular vines. No dataset containing all regular vines is available. The atlas of regular vines, Chimera, comprises all 24 4×4 matrices representing regular vineson 4 nodes, 480 5×5 matrices representing regular vines on 5 nodes, 23,040 6×6 matrices representing regular vines on 6nodes, 2,580,480 7×7 matrices representing regular vines on 7 nodes and 660,602,880 8×8 matrices representing regularvines on 8 nodes. Regular vines in Chimera are classified according to their tree-equivalence class. All regular vines were fitted to synthetic data to demonstrate the potential of Chimera. It provides thus a tool for researchers to navigate this vast space in an orderly fashion.This dataset contain vine matrices in for R <br>
藤copula(Vine copula)已成为建模复杂概率相依结构的标准工具。研究表明,正则藤(regular vine)的数量会随节点数的增加呈指数级快速增长。Chimera是首个用于系统绘制正则藤庞大空间分布的尝试。目前尚无包含全部正则藤的公开数据集。正则藤图集Chimera涵盖了各节点数对应的全部正则藤矩阵:4节点场景下含24个4×4正则藤矩阵、5节点场景下含480个5×5正则藤矩阵、6节点场景下含23040个6×6正则藤矩阵、7节点场景下含2580480个7×7正则藤矩阵,8节点场景下则含660602880个8×8正则藤矩阵。Chimera中的正则藤均按照树等价类进行分类。研究人员将所有正则藤拟合至合成数据集,以验证该图集的应用潜力。本图集为研究者提供了一套可有序探索该庞大空间的标准化工具。本数据集包含适用于R语言的藤矩阵。
提供机构:
Rajabi, Mojtaba; Torres Alves, Gina; Morales Napoles, Oswaldo; 't Hart, Marcel
创建时间:
2023-04-28



