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麦克斯韦分布的逐点收敛速度 被引量:6

The Point-Wise Rate of Convergence of Maxwell Distribution
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摘要 主要研究了麦克斯韦分布的极值分布及逐点收敛速度. In this article, the point-wise rate of convergence of Maxwell distribution and its extreme value distribution are studied.
作者 刘豹 付颖
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第5期80-83,共4页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11171275) 重庆市自然科学基金资助项目(cstc2012jjA00029)
关键词 极值分布 麦克斯韦分布 逐点收敛速度 extreme value distribution Maxwell distribution rate of convergence
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参考文献8

  • 1HALL WJ, WELLNERJ A. The Rate of Convergence in Law of the Maximum of an Exponential Sample[J]. Statistica Neerlandica, 1979, 33(3): 151-154.
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同被引文献34

  • 1Hall P. On the Rate of Convergence of Normal Extremes[J]. Journal Applied Probability, 1979, 16(2): 433-439.
  • 2Lin Fu-ming, Zhang Xin-hua, Peng Zuo-xiang, et al. On the rate of convergence of STSD extremes[J]. Communications in Statistics-Theory and Methods, 2011, 40(10): 1795-1806.
  • 3Chen Shou-quan, Huang Jian-wen. Rates of Convergence of Extreme for Asymmetric Normal Distribution[J]. Statistics and Probability Letters, 2014, (84): 158-168.
  • 4Liao X,Peng Z. Convergence rates of limit distribution of ma- xima of lognormal samples[J]. Journal of Mathematical Ana- lysis and Applications, 2012, 395: 643-653.
  • 5Leadbetter M R, Lindgren G, Rootzen H. Extremes and Re lated Properties of Random Sequences and Processes[M]. New York: Springer, 1983.
  • 6Resnick S I. Extreme value, Regular Variation, and Point Pro cesses[M]. New York: Springer-Verlag, 1987.
  • 7LIAO 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.
  • 8LIAO Xin, PENG Zuo-xiang, NADARAJAH S. Tail Properties and Asymptotic Expansions for the Maximum of the Logarithmic Skew-normal Distribution [J]. Journal of Applied Probability, 2013, 50(3): 900-907.
  • 9JIA 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.
  • 10LIU Chuan di, LIU Bao. Convergence Rate of Extremes from Maxwell Sample [J]. Journal of Inequalities and Applica- tions, 2013, 477: 1-11.

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