对数麦克斯韦分布的渐近性质
Asymptotic Properties of Logarithmic Maxwell Distribution
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摘要: 作为麦克斯韦分布的推广,提出了对数麦克斯韦分布.然后研究了它的Mills不等式和Mills率,得到了该分布的尾部表示和最大值分布的极限分布以及点点收敛速度.最后,研究了有限混合对数麦克斯韦分布的极限分布,得到了最大值分布的渐近分布和相应的规范化常数.Abstract: In this paper,the logarithmic Maxwell distribution,the extension of Maxwell distribution,has been proposed.Then,its Mills inequality and Mills type have been studied and the tail behavior of the distribution,the limit distribution of maximum and associated rate of convergence been obtained.At last,the limit distribution of finite mixed logarithmic Maxwell distribution is investigated and the asymptotic distribution of maxima distribution and the related normalized constants have been derived.
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