Laplace approximations to hypergeometric functions of two matrix arguments

[1]  N. Giri.  Multivariate Statistical Analysis : Revised And Expanded , 2003 .

[2]  Ronald W. Butler,et al.  Laplace approximation for Bessel functions of matrix argument , 2003 .

[3]  Andrew T. A. Wood,et al.  Laplace approximations for hypergeometric functions with matrix argument , 2002 .

[4]  S. Sahi,et al.  A recursion and a combinatorial formula for Jack polynomials , 1996, q-alg/9610016.

[5]  P. K. Sen,et al.  Multivariate Analysis V. , 1982 .

[6]  William J. Glynn.  Asymptotic Representations of the Densities of Canonical Correlations and Latent Roots in MANOVA When the Population Parameters Have Arbitrary Multiplicity , 1980 .

[7]  Robb J. Muirhead,et al.  Inference in canonical correlation analysis , 1978 .

[8]  K. Pillai,et al.  Maximization of an Integral of a Matrix Function and Asymptotic Expansions of Distributions of Latent Roots of Two Matrices , 1976 .

[9]  P. Krishnaiah,et al.  Multivariate Analysis III. , 1975 .

[10]  K. Pillai,et al.  Power comparisons of tests of two multivariate hypotheses based on four criteria. , 1967, Biometrika.

[11]  B. O'neill,et al.  The fundamental equations of a submersion. , 1966 .

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

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

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

[15]  R. Muirhead.  Aspects of Multivariate Statistical Theory , 1982, Wiley Series in Probability and Statistics.

[16]  M. Srivastava,et al.  Asymptotic distribution of the latent roots of the noncentral wishart distribution and the power of the likelihood ratio test for nonadditivity , 1980 .

[17]  I. G. MacDonald,et al.  Symmetric functions and Hall polynomials , 1979 .

[18]  Robb J. Muirhead,et al.  Latent Roots and Matrix Variates: A Review of Some Asymptotic Results , 1978 .

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

[20]  Y. Fujikoshi.  Asymptotic expansions of the distributions of test statistics in multivariate analysis , 1970 .