-
1
-
-
0036389689
-
Laplace approximations for hypergeometric functions with matrix arguments
-
R.W. Butler A.T.A. Wood Laplace approximations for hypergeometric functions with matrix arguments Ann. Statist. 30 2002 1155-1177
-
(2002)
Ann. Statist.
, vol.30
, pp. 1155-1177
-
-
Butler, R.W.1
Wood, A.T.A.2
-
2
-
-
0038546583
-
Laplace approximations to Bessel functions of matrix argument
-
R.W. Butler A.T.A. Wood Laplace approximations to Bessel functions of matrix argument J. Comput. Appl. Math. 155 2003 359-382
-
(2003)
J. Comput. Appl. Math.
, vol.155
, pp. 359-382
-
-
Butler, R.W.1
Wood, A.T.A.2
-
3
-
-
84984282590
-
Asymptotic distribution of the latent roots of the noncentral Wishart distribution and the power of the likelihood ratio test for nonadditivity
-
E.M. Carter M.S. Srivastava Asymptotic distribution of the latent roots of the noncentral Wishart distribution and the power of the likelihood ratio test for nonadditivity Canad. J. Statist. 8 1980 119-134
-
(1980)
Canad. J. Statist.
, vol.8
, pp. 119-134
-
-
Carter, E.M.1
Srivastava, M.S.2
-
4
-
-
14644422456
-
Asymptotic expansions for the distributions of characteristic roots when the parameter matrix has several multiple roots
-
P.R. Krishnaiah (Ed.), Academic Press New York
-
A.K. Chattopadhyay K.C.S. Pillai Asymptotic expansions for the distributions of characteristic roots when the parameter matrix has several multiple roots in: P.R. Krishnaiah (Ed.), Multivariate Analysis III 1973 Academic Press New York pp. 117-127
-
(1973)
Multivariate Analysis III
, pp. 117-127
-
-
Chattopadhyay, A.K.1
Pillai, K.C.S.2
-
5
-
-
14644438223
-
Maximization of an integral of a matrix function and asymptotic expansions of distributions of latent roots of two matrices
-
A.K. Chattopadhyay K.C.S. Pillai H.C. Li Maximization of an integral of a matrix function and asymptotic expansions of distributions of latent roots of two matrices Ann. Statist. 4 1976 796-806
-
(1976)
Ann. Statist.
, vol.4
, pp. 796-806
-
-
Chattopadhyay, A.K.1
Pillai, K.C.S.2
Li, H.C.3
-
6
-
-
0001239018
-
Some noncentral distribution problems in multivariate analysis
-
A.G. Constantine Some noncentral distribution problems in multivariate analysis Ann. Math. Statist. 34 1963 1270-1285
-
(1963)
Ann. Math. Statist.
, vol.34
, pp. 1270-1285
-
-
Constantine, A.G.1
-
7
-
-
84972535456
-
Asymptotic expansions of the distributions of test statistics in multivariate analysis
-
Y. Fujikoshi Asymptotic expansions of the distributions of test statistics in multivariate analysis J. Sci. Hiroshima Univ. Ser. A-I Math. 34 1970 73-144
-
(1970)
J. Sci. Hiroshima Univ. Ser. A-I Math.
, vol.34
, pp. 73-144
-
-
Fujikoshi, Y.1
-
8
-
-
14644403506
-
Asymptotic representations of the densities of canonical correlations and latent roots in MANOVA when the population parameters have arbitrary multiplicity
-
W.J. Glynn Asymptotic representations of the densities of canonical correlations and latent roots in MANOVA when the population parameters have arbitrary multiplicity Ann. Statist. 8 1980 958-976
-
(1980)
Ann. Statist.
, vol.8
, pp. 958-976
-
-
Glynn, W.J.1
-
9
-
-
0001208971
-
Inference in canonical correlation analysis
-
W.J. Glynn R.J. Muirhead Inference in canonical correlation analysis J. Mult. Anal. 8 1978 468-478
-
(1978)
J. Mult. Anal.
, vol.8
, pp. 468-478
-
-
Glynn, W.J.1
Muirhead, R.J.2
-
10
-
-
0001154834
-
The distribution of the latent roots of the covariance matrix
-
A.T. James The distribution of the latent roots of the covariance matrix Ann. Math. Statist. 31 1960 151-158
-
(1960)
Ann. Math. Statist.
, vol.31
, pp. 151-158
-
-
James, A.T.1
-
11
-
-
0000952005
-
Distributions of matrix variates and latent roots derived from normal samples
-
A.T. James Distributions of matrix variates and latent roots derived from normal samples Ann. Math. Statist. 35 1964 475-501
-
(1964)
Ann. Math. Statist.
, vol.35
, pp. 475-501
-
-
James, A.T.1
-
12
-
-
0031501912
-
A recursion and a combinatorial formula for Jack polynomials
-
F. Knop S. Sahi A recursion and a combinatorial formula for Jack polynomials Invent. Math. 128 1997 9-22
-
(1997)
Invent. Math.
, vol.128
, pp. 9-22
-
-
Knop, F.1
Sahi, S.2
-
16
-
-
0013183612
-
Latent roots and matrix variates: A review of some asymptotic results
-
R.J. Muirhead Latent roots and matrix variates: A review of some asymptotic results Ann. Statist. 6 1978 5-33
-
(1978)
Ann. Statist.
, vol.6
, pp. 5-33
-
-
Muirhead, R.J.1
-
18
-
-
0000962696
-
The fundamental equations of a submersion
-
B. O'Neill The fundamental equations of a submersion Michigan Math. J. 13 1966 459-469
-
(1966)
Michigan Math. J.
, vol.13
, pp. 459-469
-
-
O'Neill, B.1
-
20
-
-
0014099122
-
Power comparisons of tests of two multivariate hypotheses based on four criteria
-
K.C.S. Pillai K. Jayachandran Power comparisons of tests of two multivariate hypotheses based on four criteria Biometrika 54 1967 195-210
-
(1967)
Biometrika
, vol.54
, pp. 195-210
-
-
Pillai, K.C.S.1
Jayachandran, K.2
-
21
-
-
0042613492
-
Asymptotic expansions for hypergeometric functions
-
P.R. Krishnaiah (Ed.), North-Holland New York
-
M.S. Srivastava E.M. Carter Asymptotic expansions for hypergeometric functions in: P.R. Krishnaiah (Ed.), Multivariate Analysis V 1980 North-Holland New York
-
(1980)
Multivariate Analysis V
-
-
Srivastava, M.S.1
Carter, E.M.2
-
22
-
-
14644387333
-
Asymptotic distribution of latent roots and applications
-
R. Gupta (Ed.), North-Holland New York
-
M.S. Srivastava E.M. Carter Asymptotic distribution of latent roots and applications in: R. Gupta (Ed.), Multivariate Statistical Analysis 1980 North-Holland New York
-
(1980)
Multivariate Statistical Analysis
-
-
Srivastava, M.S.1
Carter, E.M.2
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