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Joint Mixability of Elliptical Distributions and Related Families
YIN Chuancun *,ZHU Dan
School of Statistics, Qufu Normal University, Qufu 273165
*Correspondence author
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Funding: Research Fund for the Doctoral Program of Higher Education of China （No.20133705110002）
Opened online:27 April 2017
Accepted by: none
Citation: YIN Chuancun,ZHU Dan.Joint Mixability of Elliptical Distributions and Related Families [OL]. [27 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4727543
 
 
In this paper, we further develop the theoryof complete mixability and joint mixability, we provided sufficient conditions for some univariate distributions with one-side unbounded support are not joint mixable; We present an alternative proof to a result of Wang and Wang (2016) which related to the joint mixability of ellipticaldistributions with the same characteristic generator. We also study the joint mixability of slash-elliptical distributions and skew-elliptical distributions. Further, in the multivariate ease, the complete mixability and joint mixability of multivariate elliptical distributions and multivariate slash-elliptical distributions are also investigated.
Keywords:Probability theory; joint mixability; multivariate dependence; elliptical distributions; slash/skew-elliptical distributions
 
 
 

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