| 广义copula的存在理论 |
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| 引用本文： | 吕王勇,高仕龙,马洪. 广义copula的存在理论[J]. 四川师范大学学报(自然科学版), 2010, 33(2). DOI: 10.3969/j.issn.1001-8395.2010.02.005 |
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| 作者姓名： | 吕王勇 高仕龙 马洪 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066;四川大学,数学学院,四川,成都,610064;乐山师范学院,数学系,四川,乐山,614000;四川大学,数学学院,四川,成都,610064 |
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| 基金项目： | 四川省教育厅自然科学重点基金 |
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| 摘 要： | copula函数是把多维随机变量的联合分布用其一维边际分布连接起来的函数.基于著名的Sklar定理中联合分布函数与边际分布函数的关系,从图像重构的角度,提出广义copula的概念,并从理论上证明了它的存在性,给出了相关的性质,为广义copula的应用提供了相应的基础.
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| 关 键 词： | copula 垂直 广义copula |
The Existence Theory of Extended Copula |
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| LU Wang-yong,GAO Shi-long,MA Hong. The Existence Theory of Extended Copula[J]. Journal of Sichuan Normal University(Natural Science), 2010, 33(2). DOI: 10.3969/j.issn.1001-8395.2010.02.005 |
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| Authors: | LU Wang-yong GAO Shi-long MA Hong |
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| Affiliation: | LU Wang-yong1,2,GAO Shi-long3,MA Hong2(1.College of Mathematics , Software Science,Sichuan Normal University,Chengdu 610066,Sichuan,2.College of Mathematics,Sichuan University,Chengdu 610064,3.Deparment of Mathematics,Leshan Normal College,Leshan 614000,Sichuan) |
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| Abstract: | Copula is a function to link joint distribution functions and its margins.Based on the relationship between joint distribution functions and its margins stated by famous Sklar theorem,the present paper first gives the concept of extended copula from the view point of restructuring image and proves its existence and properties.It provides a basic theory for extended copula's application. |
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| Keywords: | copula copula vertical extended copula |
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