کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5077245 1374123 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Upper comonotonicity and convex upper bounds for sums of random variables
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Upper comonotonicity and convex upper bounds for sums of random variables
چکیده انگلیسی

It is well-known that if a random vector with given marginal distributions is comonotonic, it has the largest sum with respect to convex order. However, replacing the (unknown) copula by the comonotonic copula will in most cases not reflect reality well. For instance, in an insurance context we may have partial information about the dependence structure of different risks in the lower tail. In this paper, we extend the aforementioned result, using the concept of upper comonotonicity, to the case where the dependence structure of a random vector in the lower tail is already known. Since upper comonotonic random vectors have comonotonic behavior in the upper tail, we are able to extend several well-known results of comonotonicity to upper comonotonicity. As an application, we construct different increasing convex upper bounds for sums of random variables and compare these bounds in terms of increasing convex order.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Insurance: Mathematics and Economics - Volume 47, Issue 2, October 2010, Pages 159-166
نویسندگان
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