期刊文献+

幂赋范下二维正态向量的极大值分布

Maximum Value Distribution of Two-Dimensional Normal Vectors Under Power Normalization
下载PDF
导出
摘要 给出了幂赋范下独立同二维正态分布的三角阵列的极大值分布. In this paper ,we derive the limit distribution of maxima of a triangular array of independent identically distributed bivariate normal vectors under power normalization .
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第9期95-99,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11071199 11171275)
关键词 二维极大值 正态随机向量 相关系数 幂赋范最大稳定 two-dimensional maximum normal random vectors correlation coefficient p-max stable
  • 相关文献

参考文献8

  • 1HUSLER J, REISS R D. Maxima of Normal Random Vectors: Between Independence and Complete Dependence [J]. Statist Probab Lett, 1989, 7(4): 283-286.
  • 2DE HAAN L. On Regular Variation and Its Applications to the Weak Convergence of Sample Extremes [M]. Mathemati- cal Center Tract, 1970: 32.
  • 3LEADBETTER M R, LINDGREN G, ROOTZEN H. Extremes and Related Properties of Random Sequences and Processes [M]. New York Springer, 1983.
  • 4GALAMBOS J. The Asymptotic Theory of Extreme Order Statistics . New York: Wiley, 1978.
  • 5RESNICK S. Extreme Value, Regular Variation, and Point Processes EM3. New York: Springer, 1987.
  • 6PANCHEVA E. Limit Theorems for Extreme Order Statistics Under Nonlinear Normatization [J]. Lecture Notes in Mathematics, 1985(1155): 284-309.
  • 7MOHAN N R, RAVI S. Max Domains of Attraction of Univariate and Multivariate p-max Stable Laws [J]. Theory Probability and Its Applications, 1993, 37(4): 632-643.
  • 8CHEN Shou-quan, WANG Chao, ZHANG Geng. Rates of Convergence of Extreme for General Error Distribution Under Power Normalization [J]. Statist Probab Lett, 2012, 82(2) : 385-395.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部