An asymptotic expansion for the distributions of the latent roots of the Wishart matrix with multiple population roots

[1]  Sadanori Konishi,et al.  Asymptotic expansion for the distribution of a function of latent roots of the covariance matrix , 1977 .

[2]  N. Sugiura,et al.  Asymptotic expansions of the distributions of the latent roots and the latent vector of the Wishart and multivariate F matrices , 1976 .

[3]  Y. Chikuse.  Asymptotic distributions of the latent roots of the covariance matrix with multiple population roots , 1976 .

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

[5]  Y. Chikuse.  Asymptotic Expansions for the Distributions of the Latent Roots of Two Matrices in Multivariate Analysis. , 1974 .

[6]  T. W. Anderson.  An Asymptotic Expansion of the Distribution of the Studentized Classification Statistic $W^1$ , 1973 .

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

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

[9]  A. James.  The Distribution of the Latent Roots of the Covariance Matrix , 1960 .

[10]  D. Lawley.  TESTS OF SIGNIFICANCE FOR THE LATENT ROOTS OF COVARIANCE AND CORRELATION MATRICES , 1956 .

[11]  M. A. Girshick.  On the Sampling Theory of Roots of Determinantal Equations , 1939 .

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

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