In this paper, three different proofs to a result of Wang, Peng and Yang (2013) which related to the joint mixability of elliptical distributions with the same characteristic generator are present. Moreover, we generalize this result to any distributions with finite second moments. An open problem proposed by Wang (2015) is solved by constructing a bimodal-symmetric distribution. The joint mixability of slash-elliptical distributions and skew-elliptical distributions is studied and the extension to multivariate distributions is also investigated.

翻译：本文提供了关于相同特征生成元的椭圆分布联合可混合性的Wang、Peng与Yang(2013)结果的三种不同证明。进一步地，我们将该结果推广至任意具有有限二阶矩的分布。通过构造双峰对称分布，解决了Wang(2015)提出的一个开放问题。研究了slash-椭圆分布与偏态-椭圆分布的联合可混合性，并探讨了向多元分布的扩展。