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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
机构地区 西南大学数学与统计学院
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
分类号 O211.4 [理学—概率论与数理统计]
  • 相关文献

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.
  • 2HALL P. On the Rate of Convergence of Normal Extremes[J].Journal of Applied Probability, 1979, 16 (2) : 433-439.
  • 3FALK A. Rate of Uniform Convergence of Extreme Order Statistics[J]. Annals of the Institute of Statistical Mathmat?ics , 1986, 38(A): 245-262.
  • 4LIN F, ZHANG X, PENG Z, et al. On the Rate of STSD Extremes[J]. Communications in Statistics-Theory and Methods, 2011, 40(10): 1795-1806.
  • 5MAXWELLJ C. Maxwell Distribution[EB/OL].[2012-4-20]. http://mathworld. wolfram. com/MaxweIlDistri?bution. html.
  • 6MILLSJ P. Tables of the Ratio: Area to Bounding Ordinate, for Any Portion of Normal Curve[J]' Biometrika, 1926, 18(3-4): 395-400.
  • 7RESNICK S 1. Extreme Values, Regular Variation, and Point Processes[M]. New York: Springer-Verlag, 1987: 26-67.
  • 8LEADBETTER M R, LINDGREN G, ROOTZEN H. Extremes and Related Properties of Random Sequences and Processes[M]. New York: Springer-Verlag, 1983: 5-7.

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.

引证文献6

二级引证文献5

西南大学学报（自然科学版）
2013年 第5期

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