Asymptotic distributions of the latent roots of the covariance matrix with multiple population roots

[1]  Y. Chikuse,et al.  Asymptotic Expansions for the Joint and Marginal Distributions of the Latent Roots of the Covariance Matrix , 1975 .

[2]  R. Muirhead,et al.  Partial differential equations for hypergeometric functions of two argument matrices , 1972 .

[3]  D. S. Clemm,et al.  Upper Percentage Points of the Individual Roots of the Wishart Matrix , 1972 .

[4]  A. K. Chattopadhyay,et al.  On Some Noncentral Distributions in Multivariate Analysis , 1972 .

[5]  V. B. Waikar,et al.  Exact joint distributions of any few ordered roots of a class of random matrices , 1971 .

[6]  George A. Anderson,et al.  An Asymptotic Expansion for the Distribution of the Latent Roots of the Estimated Covariance Matrix , 1965 .

[7]  A. James.  Distributions of Matrix Variates and Latent Roots Derived from Normal Samples , 1964 .

[8]  A. Constantine.  Some Non-Central Distribution Problems in Multivariate Analysis , 1963 .

[9]  T. W. Anderson.  ASYMPTOTIC THEORY FOR PRINCIPAL COMPONENT ANALYSIS , 1963 .

[10]  L. C. Hsu.  A theorem on the asymptotic behavior of a multiple integral , 1948 .

[11]  P. Hsu,et al.  On the Limiting Distribution of Roots of a Determinantal Equation , 1941 .

[12]  R. Muirhead.  Powers of the largest latent root test of ∑= I , 1974 .

[13]  Takakazu Sugiyama,et al.  PERCENTILE POINTS OF THE LARGEST LATENT ROOT OF A MATRIX AND POWER CALCULATIONS FOR TESTING HYPOTHESIS Σ=I , 1973 .

[14]  N. Sugiura,et al.  Derivatives of the characteristic root of a synmetric or a hermitian matrix with two applications in multivariate analysis , 1973 .

[15]  K. Pillai,et al.  Asymptotic Expansions for the Distributions of Characteristic Roots When the Parameter Matrix Has Several Multiple Roots , 1973 .