期刊文献+

强相依非平稳序列位置和高度的联合极限分布 被引量:3

Joint Asymptotic Distribution of It's Location and Height of Strongly Dependent Non-stationary Sequences
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摘要 {ξ,i≥1}为标准化的正态序列,相关系数rij=Cov(ξi,ξj)。M(nk)是{ξ,i≥1}第k个最大值,L(nk)是其出现的位置,本文在条件:j-i→∞时rijlog(j-i)→γ∈(0,∞)下,得到了L(n2)和M(n2)的联合极限分布。 Let {ξ,i≥1} be a standard normal sequences with ry=Cov(ξi,ξj).Mn^(k)is the kth maximum which appear at Ln^(k).The paper obtained the joint asymptotic distributions of Ln^(2) and Mn(2) under the condition (rylog(j-i)→γ∈(0,∞).
作者 蔺富明
出处 《四川理工学院学报(自然科学版)》 CAS 2008年第6期26-28,共3页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
关键词 强相依非平稳序列 第2个最大值 联合极限分布 strong dependent non-stationary sequences 2th largest maximum joint asymptotic distribution
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参考文献4

  • 1Leadbetter M R, Lindgren G, Rootzen H. Extremes and Related Properties of StationarySequences and Processes [M]. New York: Springer-Verlag, 1983.
  • 2Anderson C W, Turkman K F. The Joint Limiting Distribution of Sums and Maxima of Stationary Sequences[J]. J. Appl. Probab, 1995,28: 33-44.
  • 3Hsing Tailen. A Note on the Asymptotic Independence of the Sum and Maximum of Strongly Mixing Stationary Random Variables[J].Ann. Probab, 1996, 23: 938-947.
  • 4蒋莹莹,蔺富明.强相依非平稳序列上超点过程的收敛性[J].四川理工学院学报(自然科学版),2008,21(4):26-28. 被引量:3

二级参考文献5

  • 1Leadbetter M R, Lindgren G, Rootzen H. Extremes and Related Properties of StationarySequences and Processes[M]. New York: Springer-Verlag, 1983.
  • 2Anderson C W, Turkman K F.The Joint Limiting Distribution of Sums and Maxima of Stationary Sequences[J]. J. Appl. Probab. 1995,(28):33-44.
  • 3Hsing Tailen., A Note on the Asymptotic Independence of the Sum and Maximum of Strongly Mixing Stationary Random Variables[J].Ann. Probab. 1996,(23): 938-947.
  • 4蔺富明,蒋莹莹.平稳高斯序列的联合渐近分布[J].四川理工学院学报(自然科学版),2007,20(5):58-62. 被引量:2
  • 5张玲.强相依高斯序列对高水平超过的弱收敛[J].应用数学学报,2003,26(1):56-61. 被引量:7

共引文献2

同被引文献13

  • 1Leadbetter M R,Lindgren G, Rootzen H.Extremes and Related Properties of StationarySequences and Processes [M].New York:Springer-Verlag,1983.
  • 2Anderson C W,Turtman K F.The Joint Limiting Distribution of Sums and Maxima of Stationary Sequences [J].J.Appl.Probab ,199528:33-44.
  • 3Hsing Tailen.,A Note on the Asymptotic Independence of the Sum and Maximum of Strongly Mixing Stationary Random Variables [J].Ann.Probab,1996,23:938-947.
  • 4Leadbetter M R,Lindgren G,Rootzen H.Extremes and related properties of stationary sequences and processes[M].New York:Springer-Verlag,1983.
  • 5Anderson C W,Turkman K F.The joint limiting distribution of sums and maxima of stationary sequences[J].J.Appl.Probab.,1995,28:33-44.
  • 6Hsing Tailen.A rote on the asymptotic independence of the sum and maximum of strongly mixing stationary random variables[J].Ann.Probab.,1996,23:938-947.
  • 7蔺富明.高斯序列超过数点过程与和的联合渐近分布[J].四川理工学院学报(自然科学版),2008,21(2):36-39. 被引量:1
  • 8蒋莹莹,蔺富明.强相依非平稳序列上超点过程的收敛性[J].四川理工学院学报(自然科学版),2008,21(4):26-28. 被引量:3
  • 9雷远明,刘自山.弹性动力学方程解的带权范数衰减估计[J].四川理工学院学报(自然科学版),2008,21(6):17-20. 被引量:1
  • 10李柳芬.度量空间中等距算子的延拓问题[J].四川理工学院学报(自然科学版),2008,21(6):21-22. 被引量:1

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