|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|389313||661127||2016||6 صفحه PDF||ندارد||دانلود کنید|
Considering two different metrics on the space of two-dimensional copulas CC we prove some Baire category results for important subclasses of copulas, including the families of exchangeable, associative, and Archimedean copulas. From the point of view of Baire categories, with respect to the uniform metric d∞d∞, a typical copula is not symmetric and a typical symmetric copula is not associative, whereas a typical associative copula is Archimedean and a typical Archimedean copula is strict. The results in particular answer the open question posed in  whether the family of associative copulas is of first category in (C,d∞)(C,d∞).
Journal: Fuzzy Sets and Systems - Volume 284, 1 February 2016, Pages 146–151