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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Tác giả chính: Úbeda Flores, Manuel
Định dạng: info:eu-repo/semantics/article
Ngôn ngữ:English
Được phát hành: 2023
Những chủ đề:
Truy cập trực tuyến:http://hdl.handle.net/10835/14925
Miêu tả
Tóm tắt: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.