四川师范大学学报(自然科学版)
四川師範大學學報(自然科學版)
사천사범대학학보(자연과학판)
JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE)
2010年
2期
159-161
,共3页
copula%垂直%广义copula
copula%垂直%廣義copula
copula%수직%엄의copula
copula%vertical%extended copula
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.
copula函數是把多維隨機變量的聯閤分佈用其一維邊際分佈連接起來的函數.基于著名的Sklar定理中聯閤分佈函數與邊際分佈函數的關繫,從圖像重構的角度,提齣廣義copula的概唸,併從理論上證明瞭它的存在性,給齣瞭相關的性質,為廣義copula的應用提供瞭相應的基礎.
copula함수시파다유수궤변량적연합분포용기일유변제분포련접기래적함수.기우저명적Sklar정리중연합분포함수여변제분포함수적관계,종도상중구적각도,제출엄의copula적개념,병종이론상증명료타적존재성,급출료상관적성질,위엄의copula적응용제공료상응적기출.
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 copulas application.