期刊文献+

一类平稳高斯序列超过数点过程与部分和的联合极限分布 被引量:2

The Joint Limiting Distribution of Exceedances Point Process and Partial Sum of a Kind of Stationary Gaussian Sequences
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摘要 主要讨论了一类平稳高斯序列的超过数点过程与部分和的联合极限分布,同时说明了极值与部分和是渐近独立的。 The joint limiting distribution of exceedances point process and partial sum of a kind of stationary Gaussian sequence is discussed, and the asymptotic independence of extreme value and partial sum is also proved in this paper.
出处 《工程数学学报》 CSCD 北大核心 2005年第3期481-486,共6页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(6037402560328306)四川大学青年科学基金(校200458)博士点基金(20030610018).
关键词 平稳高斯序列 极值 超过数点过程 部分和 stationary gaussian sequence extreme value exceedances point process partial sum
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参考文献8

  • 1Berman S M. Sojourns and Extremes of Stochastic Processes[M]. California: Wadsworth Inc,1992
  • 2Leadbetter M R, Lindgren G, Rootzen H. Extremes and Related Properties of Stationary Sequences and Processes[M]. New York:Springer, 1983
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  • 7何腊梅.平稳正态序列超过数点过程与部分和的渐近联合分布[J].应用数学学报,2004,27(1):81-88. 被引量:3
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二级参考文献7

  • 1Anderson C W, Turkman K F. The Joint Limiting Distribution of Sums and Maxima of Stationary Sequences. J. Appl. Prob., 1991, 28:33-44.
  • 2Anderson C W, Turkman K F. Sums and Maxima in Stationary Sequences. J. Appl. Prob., 1991,28:715-716.
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  • 7彭作祥.强相依高斯序列超过数点过程与部分和的联合渐近分布[J].应用数学学报,1999,22(3):362-367. 被引量:11

共引文献2

同被引文献6

  • 1杨春华,彭作祥.非平稳可微高斯过程的上穿过点过程的渐近分布[J].应用数学学报,2006,29(5):848-855. 被引量:3
  • 2Leadbetter M R, Lindgren G, Rootzen H. Extremes and Related Properties of Stationary Sequences and Processes. New York: Springer-Verlag, 1983.
  • 3Ho H C, Hsing T. On the Asymptotic Joint Distribution of the Sum and Maximum of Stationary Normal Random Variables. J. Applied Probability, 1996, 33:138-145.
  • 4Peng Z, Nadarajah S. On the Joint limiting Distribution of Sums and Maxima of Stationary Normal Sequence. Theory Probab. Appl., 2002, 47(4): 706-708.
  • 5Li W V, Shao Q M. A Normal Comparison Inequality and its Applications. Probab. Theory Relat. Fields, 2002, 122, 494-508.
  • 6彭作祥.强相依高斯序列超过数点过程与部分和的联合渐近分布[J].应用数学学报,1999,22(3):362-367. 被引量:11

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