| 多元拟连接函数的刻画 |
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| 引用本文： | 沈银芳.多元拟连接函数的刻画[J].浙江大学学报(理学版),2007,34(2):143-147. |
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| 作者姓名： | 沈银芳 |
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| 作者单位： | 华东师范大学,统计系,上海,200062;浙江财经学院,数学与统计学院,浙江,杭州,310018 |
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| 基金项目： | 国家自然科学基金资助项目（101016）. |
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| 摘 要： | CENEST等曾给出二元拟连接函数的两个等价刻画，同时提出一问题：引理可否推广到高维？本文回答了这一问题，证明了引理在高维时也是成立的；并指出其中一个刻画可以推广到多元，作为多元拟连接函数的刻画，而另一个刻画在高维时不成立；最后进一步得到多元线性拟连接函数概念，它是多元拟连接函数的推广．
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| 关 键 词： | 连接函数 拟连接函数 线性拟连接函数 利普希兹条件 |
| 文章编号： | 1008-9497(2007)02-143-05 |
| 修稿时间： | 2005-06-10 |
Characterizations of multivariate quasi-copulas |
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| SHEN Yin-fang.Characterizations of multivariate quasi-copulas[J].Journal of Zhejiang University(Sciences Edition),2007,34(2):143-147. |
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| Authors: | SHEN Yin-fang |
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| Institution: | 1. Department of Statistics, East China Normal University, Shanghai 200062, China ; 2. Institute of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, China |
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| Abstract: | Genest et al gave two characterizations of 2quasi-copulas,and there is an open problem that how the proof of lemma could be generalized to characterize quasi-copulas in high dimensions.The proof of lemma in high dimensions is given and one characterization of 2-quasi-copulas can be generalized to high dimensions.That's to say,it may be used as a characterization of m-quasi-copulas,however,the other characterization does not hold true in the multivariate case.Futhermore,the concept of multivariate linear quasi-copulas is produced,which is the generalization of m-quasi-copulas. |
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| Keywords: | copulas quasi-copulas linear quasi-copulas Lipschitz condition |
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