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短尾对称分布的逐点收敛速度 被引量:1

The Point-wise Rate of Convergence for Short-tailed Symmetric Distribution
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摘要 短尾对称分布有着广泛的应用,Lin和Peng(2010)研究了短尾对称分布尾部特征.主要对短尾对称分布的逐点收敛速度进行了研究,得出在特定条件下,最大值的收敛速度为Δn(x)~Λ(x)e^(-x) The distribution of short-tailed symmetric distribution (STSD) has been widely used in various fields, the tail feature of STSD has been studied by Lin and Peng in 2010. In this article, the point-wise convergence rate of STSD distribution is studied and we obtain that, in a special condition, the convergence rate of maximal x value is
作者 刘豹 付颖
出处 《重庆工商大学学报(自然科学版)》 2012年第6期1-3,共3页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 国家自然科学基金(11171275)资助项目
关键词 短尾对称分布 最大值 收敛速度 short-tailed symmetric distributions maximum rate of convergence
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参考文献5

  • 1LIN F, PENG Z. Tail behavior and extremes of short-tailed symmetric distribution [ R ]. Communications in Statistics-Theory and Methods,2010,39:2811-2817.
  • 2LEADBETrER M R, LINDGREN G, ROOTZ H. Extremes and related properties of random sequences and processes [ M ]. Springer-Verlag, New York, 1983.
  • 3RESNICK S I. Extreme values, regular variation, and point processes [ M ]. Springer-Verlag, New York, 1987.
  • 4XIONG F, PENG Z X. The rate of convergence of extremes for the Erlang distribution [ J ]. Journal of Southwest University: Natural Science,2010,33 ( 3 ) : 5-8.
  • 5LIN F, ZHANG X, PENG Z, et al. On the rate of STSD extremes [ J ]. Communications in Statistics-Theory and methods,2011, 40 : 1795-1806.

同被引文献8

  • 1LIAO X,PENG Z X,NADARAJAH S.Tail Behavior and Limit Distribution of Maximum of Logarithmic General Error Distribution[R].United Kingdom:Manchester University,2012.
  • 2LIAO X,PENG Z X.Convergence Rates of Limit Distribution of Maxima of Lognormal Samples[J].Journal of Mathematical Analysis and Applications,2012 (395):643-653.
  • 3PENG Z X,LIN F M,NADARAJAH S.Convergence Rate of Extremes for the General Error Distribution[J].Journal of Applied Probability,2010(47):668-679.
  • 4LIN F M,ZHANG X H,PENG Z X,et al.On the Rate of Convergence of STSD Extremes[J].Communications in Statistics-Theory and Methods,2011,40(10):1795-1806.
  • 5CHEN S Q,HUANG J W.Rates of Convergence of Extreme for Asymmetric Normal Distribution[J].Statistics and Probability Letters,2014(84):158-168.
  • 6RESNICK S I.Extreme value,Regular Variation,and Point Processes[M].New York:Springer,1987.
  • 7LEADBETTER M R,LINDGREN G,ROOTZEN H.Extremes and Related Properties of Random Sequences and Processes[M].New York:Springer,1983.
  • 8黄建文,陈守全,李文兴.广义logistic分布的收敛速度(英文)[J].四川大学学报(自然科学版),2014,51(1):47-52. 被引量:5

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