Testing proportionality of two large-dimensional covariance matrices

被引:6
|
作者
Xu, Lin [1 ,2 ]
Liu, Baisen [3 ]
Zheng, Shurong [1 ,2 ]
Bao, Shaokun [4 ]
机构
[1] NE Normal Univ, KLAS, Changchun 130024, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[3] Dongbei Univ Finance & Econ, Sch Stat, Dalian 116025, Peoples R China
[4] Qinhuangdao Port Co LTD, Ctr Technol, Qinhuangdao 066002, Peoples R China
关键词
Proportionality; Large-dimensional data; Likelihood ratio test; Limiting spectral distribution; Random F-matrices;
D O I
10.1016/j.csda.2014.03.014
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Testing the proportionality of two large-dimensional covariance matrices is studied. Based on modern random matrix theory, a pseudo-likelihood ratio statistic is proposed and its asymptotic normality is proved as the dimension and sample sizes tend to infinity proportionally. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:43 / 55
页数:13
相关论文
共 50 条
  • [11] Location-invariant tests of homogeneity of large-dimensional covariance matrices
    Ahmad M.R.
    Journal of Statistical Theory and Practice, 2017, 11 (4) : 731 - 745
  • [12] CLT for linear spectral statistics of large-dimensional sample covariance matrices
    Bai, ZD
    Silverstein, JW
    ANNALS OF PROBABILITY, 2004, 32 (1A): : 553 - 605
  • [13] On the limit of the spectral distribution of large-dimensional random quaternion covariance matrices
    Yin, Yanqing
    Hu, Jiang
    RANDOM MATRICES-THEORY AND APPLICATIONS, 2017, 6 (02)
  • [14] A CLT FOR THE LSS OF LARGE-DIMENSIONAL SAMPLE COVARIANCE MATRICES WITH DIVERGING SPIKES
    Liu, Zhijun
    Hu, Jiang
    Bai, Zhidong
    Song, Haiyan
    ANNALS OF STATISTICS, 2023, 51 (05): : 2246 - 2271
  • [15] Limiting spectral distribution of large-dimensional sample covariance matrices generated by VARMA
    Jin, Baisuo
    Wang, Cheng
    Miao, Baiqi
    Lo Huang, Mong-Na
    JOURNAL OF MULTIVARIATE ANALYSIS, 2009, 100 (09) : 2112 - 2125
  • [16] An Improved DCC Model Based on Large-Dimensional Covariance Matrices Estimation and Its Applications
    Zhang, Yan
    Tao, Jiyuan
    Lv, Yongyao
    Wang, Guoqiang
    SYMMETRY-BASEL, 2023, 15 (04):
  • [17] No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
    Bai, ZD
    Silverstein, JW
    ANNALS OF PROBABILITY, 1998, 26 (01): : 316 - 345
  • [18] Large-Dimensional Behavior of Regularized Maronna's M-Estimators of Covariance Matrices
    Auguin, Nicolas
    Morales-Jimenez, David
    McKay, Matthew R.
    Couillet, Romain
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2018, 66 (13) : 3529 - 3542
  • [19] PROPORTIONALITY OF COVARIANCE MATRICES
    ERIKSEN, PS
    ANNALS OF STATISTICS, 1987, 15 (02): : 732 - 748
  • [20] CORRECTIONS TO LRT ON LARGE-DIMENSIONAL COVARIANCE MATRIX BY RMT
    Bai, Zhidong
    Jiang, Dandan
    Yao, Jian-Feng
    Zheng, Shurong
    ANNALS OF STATISTICS, 2009, 37 (6B): : 3822 - 3840