# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 33 Publications since 1970, including 1 Book
all top 5

#### Co-Authors

 15 single-authored 4 Eaton, Morris L. 3 Leung, Pui Lam 2 Chikuse, Yasuko 2 Constantine, A. G. 2 Şoaita, Adina I. 1 Chou, Rouh-Jane 1 Glynn, William J. 1 Gunderson, Brenda K. 1 Hydorn, Debra L. 1 Pickering, Eve H. 1 Verathaworn, Theeraporn 1 Waternaux, Christine M.
all top 5

#### Serials

 7 Journal of Multivariate Analysis 4 Annals of Mathematical Statistics 3 The Annals of Statistics 2 Biometrika 2 Journal of Statistical Planning and Inference 2 Communications in Statistics. Theory and Methods 1 The Canadian Journal of Statistics 1 Metrika 1 Annals of the Institute of Statistical Mathematics 1 Statistics & Probability Letters 1 Linear Algebra and its Applications 1 Communications in Statistics 1 Bayesian Analysis 1 Wiley Series in Probability and Mathematical Statistics
all top 5

#### Fields

 32 Statistics (62-XX) 4 Special functions (33-XX) 2 Approximations and expansions (41-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

29 Publications have been cited 1,193 times in 1,056 Documents Cited by Year
Aspects of multivariate statistical theory. Zbl 0556.62028
1982
Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations. Zbl 0448.62037
Muirhead, Robb J.; Waternaux, Christine M.
1980
Latent roots and matrix variates: a review of some asymptotic results. Zbl 0375.62050
1978
Systems of partial differential equations for hypergeometric functions of matrix argument. Zbl 0225.62078
1970
Asymptotic distributions of some multivariate tests. Zbl 0214.46506
1970
Partial differential equations for hypergeometric functions of two argument matrices. Zbl 0256.33007
Constantine, A. G.; Muirhead, R. J.
1972
Estimation of parameter matrices and eigenvalues in MANOVA and canonical correlation analysis. Zbl 0629.62059
Leung, Pui Lam; Muirhead, Robb J.
1987
Asymptotic expansions for the joint and marginal distributions of the latent roots of the covariance matrix. Zbl 0311.62023
1975
Asymptotic expansions for distributions of latent roots in multivariate analysis. Zbl 0345.62038
Constantine, A. G.; Muirhead, R. J.
1976
Inference in canonical correlation analysis. Zbl 0387.62042
Glynn, William J.; Muirhead, Robb J.
1978
Expressions for some hypergeometric functions of matrix argument with applications. Zbl 0312.62042
1975
On estimating the dimensionality in canonical correlation analysis. Zbl 0874.62066
Gunderson, Brenda K.; Muirhead, Robb J.
1997
The asymptotic noncentral distribution of Hotelling’s generalized $$T^2_0$$. Zbl 0274.62034
1972
On the test of independence between two sets of variates. Zbl 0261.62015
1972
Powers of the largest latent root test of $$\Sigma = I$$. Zbl 0284.62026
1974
On the calculation of generalized binomial coefficients. Zbl 0285.05006
1974
The effects of elliptical distributions on some standard procedures involving correlation coefficients: A review. Zbl 0439.62037
1980
A note on some Wishart expectations. Zbl 0603.62057
1986
Polynomial estimation of eigenvalues. Zbl 0918.62051
Hydorn, Debra L.; Muirhead, Robb J.
1999
Estimating functions of canonical correlation coefficients. Zbl 0584.62086
Muirhead, Robb J.; Leung, Pui Lam
1985
Forms for the distribution of the ellipticity statistic for bivariate sphericity. Zbl 0333.62017
1976
On the distribution of the likelihood ratio test of equality of normal populations. Zbl 0519.62016
1982
Assessing a vector of clinical observations. Zbl 1102.62117
Eaton, Morris L.; Muirhead, Robb J.; Pickering, Eve H.
2006
Bounds for the distribution functions of the extreme latent roots of a sample covariance matrix. Zbl 0292.62039
1974
On estimating the latent roots of $$\Sigma _ 1\Sigma _ 2^{-1}$$. Zbl 0618.62062
1985
Developments in eigenvalue estimation. Zbl 0636.62039
1987
Approximations for the distributions of the extreme latent roots of three matrices. Zbl 0352.62050
1975
On some distribution problems in Manova and discriminant analysis. Zbl 0417.62041
1979
On a multiple endpoints testing problem. Zbl 1119.62110
Eaton, Morris L.; Muirhead, Robb J.
2007
On a multiple endpoints testing problem. Zbl 1119.62110
Eaton, Morris L.; Muirhead, Robb J.
2007
Assessing a vector of clinical observations. Zbl 1102.62117
Eaton, Morris L.; Muirhead, Robb J.; Pickering, Eve H.
2006
Polynomial estimation of eigenvalues. Zbl 0918.62051
Hydorn, Debra L.; Muirhead, Robb J.
1999
On estimating the dimensionality in canonical correlation analysis. Zbl 0874.62066
Gunderson, Brenda K.; Muirhead, Robb J.
1997
Estimation of parameter matrices and eigenvalues in MANOVA and canonical correlation analysis. Zbl 0629.62059
Leung, Pui Lam; Muirhead, Robb J.
1987
Developments in eigenvalue estimation. Zbl 0636.62039
1987
A note on some Wishart expectations. Zbl 0603.62057
1986
Estimating functions of canonical correlation coefficients. Zbl 0584.62086
Muirhead, Robb J.; Leung, Pui Lam
1985
On estimating the latent roots of $$\Sigma _ 1\Sigma _ 2^{-1}$$. Zbl 0618.62062
1985
Aspects of multivariate statistical theory. Zbl 0556.62028
1982
On the distribution of the likelihood ratio test of equality of normal populations. Zbl 0519.62016
1982
Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations. Zbl 0448.62037
Muirhead, Robb J.; Waternaux, Christine M.
1980
The effects of elliptical distributions on some standard procedures involving correlation coefficients: A review. Zbl 0439.62037
1980
On some distribution problems in Manova and discriminant analysis. Zbl 0417.62041
1979
Latent roots and matrix variates: a review of some asymptotic results. Zbl 0375.62050
1978
Inference in canonical correlation analysis. Zbl 0387.62042
Glynn, William J.; Muirhead, Robb J.
1978
Asymptotic expansions for distributions of latent roots in multivariate analysis. Zbl 0345.62038
Constantine, A. G.; Muirhead, R. J.
1976
Forms for the distribution of the ellipticity statistic for bivariate sphericity. Zbl 0333.62017
1976
Asymptotic expansions for the joint and marginal distributions of the latent roots of the covariance matrix. Zbl 0311.62023
1975
Expressions for some hypergeometric functions of matrix argument with applications. Zbl 0312.62042
1975
Approximations for the distributions of the extreme latent roots of three matrices. Zbl 0352.62050
1975
Powers of the largest latent root test of $$\Sigma = I$$. Zbl 0284.62026
1974
On the calculation of generalized binomial coefficients. Zbl 0285.05006
1974
Bounds for the distribution functions of the extreme latent roots of a sample covariance matrix. Zbl 0292.62039
1974
Partial differential equations for hypergeometric functions of two argument matrices. Zbl 0256.33007
Constantine, A. G.; Muirhead, R. J.
1972
The asymptotic noncentral distribution of Hotelling’s generalized $$T^2_0$$. Zbl 0274.62034
1972
On the test of independence between two sets of variates. Zbl 0261.62015
1972
Systems of partial differential equations for hypergeometric functions of matrix argument. Zbl 0225.62078
1970
Asymptotic distributions of some multivariate tests. Zbl 0214.46506
1970
all top 5

#### Cited by 1,194 Authors

 26 Díaz-García, José Antonio 25 Fujikoshi, Yasunori 23 Gupta, Arjun Kumar 20 Bodnar, Taras 15 Gutiérrez-Jáimez, Ramón 13 Muirhead, Robb J. 12 Edelman, Alan Stuart 12 Fang, Kai-Tai 12 Letac, Gérard G. 12 Richards, Donald St. P. 11 Forrester, Peter J. 11 Takemura, Akimichi 10 Bentler, Peter M. 10 Chikuse, Yasuko 10 Dette, Holger 10 Jiang, Tiefeng 10 Li, Runze 10 Massam, Helene M. 9 Nagar, Daya K. 9 Okhrin, Yarema 9 Paindaveine, Davy 9 Schott, James R. 8 Bolfarine, Heleno 8 Caro-Lopera, Francisco José 8 González-Farías, Graciela M. 8 Hu, Jianhua 8 Mazur, Stepan 8 Schmid, Wolfgang 8 Yuan, Kehai 7 Forchini, Giovanni 7 Kubokawa, Tatsuya 7 Leung, Pui Lam 7 Rubin, Boris 7 Sheena, Yo 7 Tsukuma, Hisayuki 7 Wood, Andrew T. A. 6 Arashi, Mohammad 6 Bai, Zhi-Dong 6 Balakrishnan, Narayanaswamy 6 Butler, Ronald W. 6 Dwivedi, Ravi 6 Fang, Biqi 6 Hallin, Marc 6 Hashiguchi, Hiroki 6 Iwashita, Toshiya 6 Konno, Yoshihiko 6 Krishnamoorthy, Kalyanam 6 Kuriki, Satoshi 6 Mathew, Thomas 6 Phillips, Peter Charles Bonest 6 Sahai, Vivek 6 Strachan, Rodney W. 6 von Rosen, Dietrich 6 Wells, Martin T. 5 Arellano-Valle, Reinaldo Boris 5 Eaton, Morris L. 5 Johnstone, Iain M. 5 Koev, Plamen 5 Konishi, Sadanori 5 Sinha, Bimal Kumar 5 Strawderman, William Edward 4 Adhikari, Sondipon 4 Bekker, Andriëtte 4 Bilodeau, Martin 4 Cai, Tony Tony 4 Chételat, Didier 4 Cléroux, Robert 4 Cook, Ralph Dennis 4 Davis, Arthur W. 4 Drton, Mathias 4 Fourdrinier, Dominique 4 Genton, Marc G. 4 Hu, Jiang 4 Joarder, Anwar H. 4 Kieburg, Mario 4 Krishnaiah, Paruchuri Rama 4 Leon-Gonzalez, Roberto 4 Mao, Guangyu 4 Neudecker, Heinz 4 Parolya, Nestor R. 4 Paul, Debashis 4 Sakurai, Tetsuro 4 Seo, Takashi 4 Shehata, Ayman 4 Sugiura, Nariaki 4 Sugiyama, Takakazu 4 Tyler, David E. 4 van Praag, Bernard M. S. 4 Verdebout, Thomas 4 Wakaki, Hirofumi 4 Wesołowski, Jacek 4 Xu, Kai 4 Yanagihara, Hirokazu 3 Bhaumik, Dulal Kumar 3 Boente, Graciela 3 Carvalho, Carlos Marinho 3 Chen, Pinyuen 3 Cheng, Hua 3 Chiani, Marco 3 Cortés López, Juan Carlos ...and 1,094 more Authors
all top 5

#### Cited in 201 Serials

 188 Journal of Multivariate Analysis 65 Statistics & Probability Letters 60 Journal of Statistical Planning and Inference 52 Annals of the Institute of Statistical Mathematics 49 The Annals of Statistics 35 Journal of Econometrics 33 Communications in Statistics. Theory and Methods 26 Computational Statistics and Data Analysis 25 Linear Algebra and its Applications 18 Psychometrika 18 Bernoulli 17 Metrika 14 Journal of Theoretical Probability 11 The Canadian Journal of Statistics 11 Journal of Mathematical Physics 11 Acta Mathematicae Applicatae Sinica. English Series 11 Electronic Journal of Statistics 10 American Journal of Mathematical and Management Sciences 9 Journal of Statistical Physics 9 Economics Letters 9 Communications in Statistics. Simulation and Computation 9 Statistical Papers 9 Random Matrices: Theory and Applications 8 Journal of Computational and Applied Mathematics 8 Test 7 Scandinavian Journal of Statistics 7 AStA. Advances in Statistical Analysis 7 Sankhyā. Series A 6 Computers & Mathematics with Applications 6 The Annals of Probability 6 Transactions of the American Mathematical Society 6 Theory of Probability and Mathematical Statistics 6 Bayesian Analysis 5 Applied Mathematics and Computation 5 Probability Theory and Related Fields 5 Statistical Science 5 Journal of Economic Dynamics & Control 5 Journal of Statistical Computation and Simulation 5 Stochastic Processes and their Applications 5 Journal of Statistical Theory and Practice 5 The Annals of Applied Statistics 4 Linear and Multilinear Algebra 4 Biometrical Journal 4 Journal of Time Series Analysis 4 European Journal of Operational Research 4 Bulletin of the American Mathematical Society. New Series 4 Mathematical Methods of Statistics 4 Econometric Theory 3 Nuclear Physics. B 3 Physica A 3 Mathematics of Computation 3 Biometrics 3 Information Sciences 3 Journal of the Mathematical Society of Japan 3 Journal of Information & Optimization Sciences 3 Statistics 3 Econometric Reviews 3 Journal of the Royal Statistical Society. Series B. Statistical Methodology 3 Acta Mathematica Sinica. English Series 3 Quantitative Finance 3 Statistical Methodology 3 Journal of the Korean Statistical Society 3 Asian-European Journal of Mathematics 3 Journal of Probability and Statistics 3 Sankhyā. Series B 3 Afrika Matematika 3 Statistics and Computing 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 International Journal for Numerical Methods in Engineering 2 Journal of the American Statistical Association 2 Proceedings of the American Mathematical Society 2 Statistica Neerlandica 2 Advances in Applied Mathematics 2 Constructive Approximation 2 Computational Mechanics 2 Applied Mathematics Letters 2 Science in China. Series A 2 Signal Processing 2 Multidimensional Systems and Signal Processing 2 Computational Statistics 2 Mathematical Programming. Series A. Series B 2 Applied and Computational Harmonic Analysis 2 Journal of Nonparametric Statistics 2 The Econometrics Journal 2 Methodology and Computing in Applied Probability 2 Brazilian Journal of Probability and Statistics 2 Foundations of Computational Mathematics 2 Entropy 2 Statistical Methods and Applications 2 Journal of the Japan Statistical Society. Japanese Issue 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 101 more Serials
all top 5

#### Cited in 51 Fields

 851 Statistics (62-XX) 202 Probability theory and stochastic processes (60-XX) 154 Linear and multilinear algebra; matrix theory (15-XX) 109 Numerical analysis (65-XX) 96 Special functions (33-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Combinatorics (05-XX) 15 Information and communication theory, circuits (94-XX) 14 Operations research, mathematical programming (90-XX) 12 Operator theory (47-XX) 12 Quantum theory (81-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Computer science (68-XX) 9 Number theory (11-XX) 9 Ordinary differential equations (34-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of deformable solids (74-XX) 9 Systems theory; control (93-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Nonassociative rings and algebras (17-XX) 7 Approximations and expansions (41-XX) 7 Abstract harmonic analysis (43-XX) 6 Integral transforms, operational calculus (44-XX) 6 Biology and other natural sciences (92-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Convex and discrete geometry (52-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX)