Copula的非可交换性与径向不对称性之间的关系
The relation between non-exchangeability and radial asymmetry of copulas
AI总结：
该研究探讨Copula的非可交换性与径向不对称性的关系，提出给定径向不对称度时非可交换性测度的取值范围问题，确定相关点集为非凸六边形。
摘要：
非可交换性和径向不对称性在文献中已受到大量关注，但两者之间的关系尚未得到研究。我们提出问题：若一个Copula具有给定程度的径向不对称性，其非可交换性测度的可能取值范围是什么。我们确定了所有点的集合，其中第一个坐标为Copula的径向不对称性，第二个坐标为其非可交换性，证明该集合是一个非凸六边形。
英文摘要：
Non-exchangeability and radial asymmetry have got substantial attention in the literature, but relation between the two has not been studied yet. We propose the question: if a copula has a given degree of radial asymmetry, what is the range of possible values of the measure of non-exhangeability. We determine the set of all points whose first coordinate is the radial asymmetry of a copula and the second coordinate is its non-exchangeability. We show that this set is a non-convex hexagon.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
