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具有分段线性水平截线的双参数Copula函数簇
引用本文:曾传华. 具有分段线性水平截线的双参数Copula函数簇[J]. 西南师范大学学报(自然科学版), 2011, 36(4)
作者姓名:曾传华
作者单位:安徽工业大学数理学院,安徽马鞍山,243024
基金项目:重庆市重点实验室开放基金资助项目
摘    要:构造了一类具有分段线性水平截线的双参数Copula函数簇,并讨论了这类Copula函数簇的绝对连续性和极限性质.

关 键 词:Copula函数  水平截线  分段线性

A Class of Two-Parameter Copulas with Piecewise Linear Horizontal Sections
ZENG Chuan-hua. A Class of Two-Parameter Copulas with Piecewise Linear Horizontal Sections[J]. Journal of southwest china normal university(natural science edition), 2011, 36(4)
Authors:ZENG Chuan-hua
Affiliation:ZENG Chuan-huaSchool of Mathematics and Physics,Anhui University of Technology,Ma'anshan Anhui 243024,China
Abstract:Copula constructing is a crucial problem in the theory of copulas.This paper constructs a class of two-parameter bivariate copulas with piecewise linear horizontal sections whose graph is composed of two segments.It is a wide class of copulas which contains some known copulas.Furthermore,several properties of the copulas in the new class concerning absolute continuity,singular components and limits are discussed.
Keywords:Copula function  horizontal sections  piecewise linear  
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