Best-possible bounds on the set of copulas with a given value of Gini's gamma

In this note, pointwise best-possible (lower and upper) bounds on the set of copulas with a given value of the Gini’s gamma coefficient are established. It is shown that, unlike the best-possible bounds on the set of copulas with a given value of other known measures such as Kendall’s tau, Spearma...

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التفاصيل البيبلوغرافية
المؤلف الرئيسي: Úbeda Flores, Manuel
التنسيق: info:eu-repo/semantics/article
اللغة:English
منشور في: 2023
الموضوعات:
الوصول للمادة أونلاين:http://hdl.handle.net/10835/14925
الوصف
الملخص:In this note, pointwise best-possible (lower and upper) bounds on the set of copulas with a given value of the Gini’s gamma coefficient are established. It is shown that, unlike the best-possible bounds on the set of copulas with a given value of other known measures such as Kendall’s tau, Spearman’s rho or Blomqvist’s beta, the bounds found are not necessarily copulas, but proper quasi-copulas.