期刊文献+

大维随机矩阵的渐进特征 被引量:4

The asymptotic properties of the large dimension random matrix
下载PDF
导出
摘要 阐述了样本维数与样本量成比例趋于无穷时,大维随机矩阵特征向量子空间的极限特征.指出当随机矩阵列的谱具有谱分离的特征时,其特征向量子空间具有一定的渐进特征. This paper introduces the limiting behavior of the subspace of eigenvectors as p goes to infinity with sample size n proportionally.This paper establishes the asymptotic properties of the subspace of eigenvectors when the support to limiting spectral distribution is separate.
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2014年第4期1-8,共8页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11171057 11171059) 吉林省自然科学基金资助项目(201215113) 吉林省教育厅课题(2010第160号) 吉林省教育厅课题([吉教科合字]2014第272号)
关键词 随机矩阵 谱分布 特征向量 random matrix theory spectral distribution eigenvectors
  • 相关文献

参考文献14

  • 1BAI Z D.SILVERSTEIN J W. Spectral analysis of large dimensional random matrices[M], 2nd edition. Beijing:Science Press,2010:119-160.
  • 2SILVERSTEIN J W.BAI Z. D. On the empirical distribution of eigenvalues of a class of large dimensional random matrices[J].Journal of Multivariate Analysis, 1995,54(2) : 175-192.
  • 3NARCENKO,PASTUR. Distribution for some sets of random matrices[J], Math USSR-Sb,1967,1:457-483.
  • 4YIN Y Y Q.BAI Z D,KRISHNAIAH. On the limit of the large eigenvalue of the largedimensional sample covariance matrix[J]. Probab Theory Related Fields* 1988,78:509-521.
  • 5BAI Z D, YIN Y Q. Limit of the smallest eigenvalue of large-dimensional sample covariance matrix[J]. Ann Probab, 1993,21:1275-1294.
  • 6BAI Z D, SILVERSTEIN J W. No eigenvalues outside the support of the limiting spectral distribution o. large dimensionalsample covariance matrices[J]. Ann Probab, 1998,26(1) : 316-345.
  • 7SILVERSTEIN J W. Weak convergence of random functions defined by the eigenvectors of sample covariance matrices[J].Ann Probab, 1990,18: 1174-1193.
  • 8SILVERSTEIN J W. On the eigenvectors of large-dimensional sample covariance matrices[J]. J Multivariate Anal, 1989,30:1-16.
  • 9SILVERSTEIN J W. Some limit theorems on the eigenvectors of large-dimensional sample covariance matrices [J]. JMultivariate Anal, 1984,15:295-324.
  • 10BAI Z DyBAIQI MIAO,PAN G M. On asymptotics of eigenvectors of large sample covariance matrix[J]. Ann Probab,2007,35(4):1532-1572.

同被引文献17

引证文献4

二级引证文献17

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