| 多维指数分布 |
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| 引用本文： | 陈永义,刘晓明.多维指数分布[J].数学研究,1995,28(1):80-84. |
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| 作者姓名： | 陈永义 刘晓明 |
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| 作者单位： | 烟台大学数学系，湖南师范大学数学系 |
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| 摘 要： | 本文讨论了服从多维指数分布的随机向量的各分量间的独立性与相关性，证明了诸分量相互独立的充分必要条件是它们两两无关；并证明了多维指数分布类在弱收敛下的封闭性．
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| 关 键 词： | 多维指数分布，概率测度弱收敛 |
ON MULTIVARIATE EXPONENTIAL DISTRIBUTION |
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| Chen Yongyi.ON MULTIVARIATE EXPONENTIAL DISTRIBUTION[J].Journal of Mathematical Study,1995,28(1):80-84. |
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| Authors: | Chen Yongyi |
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| Abstract: | In this paper,we discussed the conelation and the independence of the components of a random vector with the multivariate exponential distribution and proved that the components are mutually independent if and only if they are pairwise uncorrelated. We also proved that the class of the multivariate exponential distribution is closed under weak convergence. |
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| Keywords: | Multivariate exponential distribution Weak convergence of probability measures |
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