کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1145743 1489670 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multivariate copulas with hairpin support
ترجمه فارسی عنوان
مخروط چندگانه با پشتیبانی از ناخن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
چکیده انگلیسی
The notion of a two-dimensional hairpin allows for two different extensions to the general multivariate setting-that of a sub-hairpin and that of a super-hairpin. We study existence and uniqueness of ρ-dimensional copulas whose support is contained in a sub- (or super-) hairpin and extend various results about doubly stochastic measures to the general multivariate setting. In particular, we show that each copula with hairpin support is necessarily an extreme point of the convex set of all ρ-dimensional copulas. Additionally, we calculate the corresponding Markov kernels and, using a simple analytic expression for sub- (or super-) hairpin copulas, analyze the strong interrelation with copulas having a fixed diagonal section. Several examples and graphics illustrate both the chosen approach and the main results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 130, September 2014, Pages 323-334
نویسندگان
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