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麦克斯韦分布最大值的高阶渐近展开 被引量:2

Higher-Order Asymptotic Expansions for Distributions of Maxima from Maxwell Distribution
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摘要 在最优赋范常数的条件下,研究了麦克斯韦分布规范化最大值分布的高阶渐近展开,得到了最大值分布的收敛到极值分布的逐点收敛速度. In this paper,with optimal normalizing constants,the higher-order expansion for a distribution of normalized partial maximum from the Maxwell distribution has beenderived,by which one deduces the associate point-wise convergence rate of the distribution of the extreme to the extreme value distribution.
出处 《西南师范大学学报(自然科学版)》 CAS 北大核心 2015年第9期1-4,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金项目(71461027) 贵州省科学技术科学基金项目(黔科合J字LKZS[2014]29号) 贵州省科技计划课题(黔科合LH字[2015]7001号 黔科合LH字[2015]7006号)
关键词 麦克斯韦分布 最大值 展开 Maxwell distribution maxima expansion
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参考文献6

  • 1LIAO Xin, PENG Zuo-xiang, NADARAJAH S, et al. Rates of Convergence of Extremes from Skew-normal Samples [J]. Statistics and Probability Letters, 2014, 84: 40-47.
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  • 3章毓波,彭作祥.t分布的极值分布渐近展开[J].西南大学学报(自然科学版),2014,36(3):67-70. 被引量:7
  • 4JIA Pu, LI Ting-ting. Higher-Order Expansions for Distributions of Extremes from General Error Distribution [J]. Journal of Inequalities and Applications, 2014, 213 : 1- 8.
  • 5刘豹,付颖.麦克斯韦分布的逐点收敛速度[J].西南大学学报(自然科学版),2013,35(5):80-83. 被引量:6
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二级参考文献10

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