论文标题

关于麦克斯韦分布的电力极端的分布扩展

On the distributional expansions of powered extremes from Maxwell distribution

论文作者

Huang, Jianwen, Liu, Xinling, Wang, Jianjun, Tan, Zhongquan, Hou, Jingyao, Pu, Hao

论文摘要

在本文中,考虑了Maxwell样品的渐近膨胀和密度的分布和密度。结果表明,归一化部分最大值的收敛速度取决于动力指数。此外,与先前的结果相比,从麦克斯韦样品中驱动的极端分布的收敛速率比其极端的收敛速度快。最后,进行数值分析以说明我们的发现。

In this paper, asymptotic expansions of the distributions and densities of powered extremes for Maxwell samples are considered. The results show that the convergence speeds of normalized partial maxima relies on the powered index. Additionally, compared with previous result, the convergence rate of the distribution of powered extreme from Maxwell samples is faster than that of its extreme. Finally, numerical analysis is conducted to illustrate our findings.

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