ON THE LIMIT OF THE LARGEST EIGENVALUE OF THE LARGE DIMENSIONAL SAMPLE COVARIANCE-MATRIX

被引:220
作者
YIN, YQ [1 ]
BAI, ZD [1 ]
KRISHNAIAH, PR [1 ]
机构
[1] UNIV PITTSBURGH,CTR MULTIVARIATE ANAL,PITTSBURGH,PA 15260
关键词
D O I
10.1007/BF00353874
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
引用
收藏
页码:509 / 521
页数:13
相关论文
共 16 条
[1]  
BAI EW, 1987, IEEE T AUTOMAT CONTR, V32, P537, DOI 10.1109/TAC.1987.1104660
[2]   ON LIMITING SPECTRAL DISTRIBUTION OF PRODUCT OF 2 RANDOM MATRICES WHEN THE UNDERLYING DISTRIBUTION IS ISOTROPIC [J].
BAI, ZD ;
YIN, YQ ;
KRISHNAIAH, PR .
JOURNAL OF MULTIVARIATE ANALYSIS, 1986, 19 (01) :189-200
[3]   LIMITING BEHAVIOR OF THE NORM OF PRODUCTS OF RANDOM MATRICES AND 2 PROBLEMS OF GEMAN-HWANG [J].
BAI, ZD ;
YIN, YQ .
PROBABILITY THEORY AND RELATED FIELDS, 1986, 73 (04) :555-569
[4]  
BAI ZD, 1986, IN PRESS J MULTIVARI
[5]   A LIMIT-THEOREM FOR THE NORM OF RANDOM MATRICES [J].
GEMAN, S .
ANNALS OF PROBABILITY, 1980, 8 (02) :252-261
[6]   SPECTRAL ANALYSIS OF NETWORKS WITH RANDOM TOPOLOGIES [J].
GRENANDER, U ;
SILVERSTEIN, JW .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (02) :499-519
[8]  
JONSSON D, 1983, MULTIVARIATE ANAL, V6
[9]  
SILVERSTEIN J, 1984, UNPUB LARGEST EIGENV
[10]   THE LIMITING EMPIRICAL MEASURE OF MULTIPLE DISCRIMINANT RATIOS [J].
WACHTER, KW .
ANNALS OF STATISTICS, 1980, 8 (05) :937-957