-
3
-
-
84968476146
-
The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities
-
Anderson, T. W. (1955). The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proceedings of the American Mathematical Society, 6, 170-176.
-
(1955)
Proceedings of the American Mathematical Society
, vol.6
, pp. 170-176
-
-
Anderson, T.W.1
-
4
-
-
0002211598
-
Non-normal multivariate distributions: Inference based on elliptically contoured distributions
-
C. R. Rao (Ed.), North-Holland, Amsterdam
-
Anderson, T. W. (1993). Non-normal multivariate distributions: Inference based on elliptically contoured distributions. In C. R. Rao (Ed.), Multivariate Analysis: Future Directions, Vol. 1, 1-24. North-Holland, Amsterdam.
-
(1993)
Multivariate Analysis: Future Directions
, vol.1
, pp. 1-24
-
-
Anderson, T.W.1
-
5
-
-
0030494355
-
Some inequalities for symmetric convex sets with applications
-
Anderson, T. W. (1996). Some inequalities for symmetric convex sets with applications. Annals of Statistics, 24, 753-762.
-
(1996)
Annals of Statistics
, vol.24
, pp. 753-762
-
-
Anderson, T.W.1
-
7
-
-
0009127785
-
Cochran’s theorem, rank additivity and tripotent matrices
-
G. Kallianpur, P. R. Krishnaiah, and J. K. Ghosh (Eds.), North-Holland, New York
-
Anderson, T. W. and Styan, G. P. H. (1982). Cochran’s theorem, rank additivity and tripotent matrices. In G. Kallianpur, P. R. Krishnaiah, and J. K. Ghosh (Eds.), Statis-tics and Probability: Essays in Honor of C. R. Rao, 1-23. North-Holland, New York.
-
(1982)
Statis-Tics and Probability: Essays in Honor of C. R. Rao
, pp. 1-23
-
-
Anderson, T.W.1
Styan, G.P.H.2
-
9
-
-
70350329307
-
Quick proofs of some regression theorems via the QR algorithm
-
Ansley, C. F. (1985). Quick proofs of some regression theorems via the QR algorithm. The American Statistician, 39 (1), 57-59.
-
(1985)
The American Statistician
, vol.39
, Issue.1
, pp. 57-59
-
-
Ansley, C.F.1
-
10
-
-
0038142524
-
The estimation of residual variance in quadratically balanced least squares problems and the robustness of the F-test
-
Atiqullah, M. (1962). The estimation of residual variance in quadratically balanced least squares problems and the robustness of the F-test. Biometrika, 49, 83-91.
-
(1962)
Biometrika
, vol.49
, pp. 83-91
-
-
Atiqullah, M.1
-
12
-
-
2442686563
-
Estimating non-negative matrices from marginal data
-
Bacharach, M. (1965). Estimating non-negative matrices from marginal data. Interna-tional Economic Review, 6, 294-310.
-
(1965)
Interna-Tional Economic Review
, vol.6
, pp. 294-310
-
-
Bacharach, M.1
-
15
-
-
3142762511
-
Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications
-
Baksalary, J. K. and Baksalary, O. M. (2004c). Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications. Linear Algebra and Its Applications, 388, 31-44.
-
(2004)
Linear Algebra and Its Applications
, vol.388
, pp. 31-44
-
-
Baksalary, J.K.1
Baksalary, O.M.2
-
16
-
-
0004484374
-
Spectrum and trace invariance criterion and its statistical applications
-
Baksalary, J. K. and Puntanen, S. (1990). Spectrum and trace invariance criterion and its statistical applications. Linear Algebra and Its Applications, 142, 121-128.
-
(1990)
Linear Algebra and Its Applications
, vol.142
, pp. 121-128
-
-
Baksalary, J.K.1
Puntanen, S.2
-
17
-
-
0000748103
-
Generalized matrix versions of the Cauchy-Schwarz and Kantorivich inequalities
-
Baksalary, J. K. and Puntanen, S. (1991). Generalized matrix versions of the Cauchy-Schwarz and Kantorivich inequalities. Aequationes Mathematicae, 41, 103-110.
-
(1991)
Aequationes Mathematicae
, vol.41
, pp. 103-110
-
-
Baksalary, J.K.1
Puntanen, S.2
-
18
-
-
84994679266
-
Generalized inverses of partitioned matrices in Banachiewicz-Schur form
-
Baksalary, J. K. and Styan, G. P. H. (2002). Generalized inverses of partitioned matrices in Banachiewicz-Schur form. Linear Algebra and Its Applications, 354, 41-47.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 41-47
-
-
Baksalary, J.K.1
Styan, G.P.H.2
-
19
-
-
31244433453
-
Idempotency of linear combinations of an idempotent matrix and a tripotent matrix
-
Baksalary, J. K., Baksalary, O. M., and Styan, G. P. H. (2002). Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Linear Algebra and Its Applications, 354, 21-34.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 21-34
-
-
Baksalary, J.K.1
Baksalary, O.M.2
Styan, G.P.H.3
-
20
-
-
0042970119
-
A property of the dispersion matrix of the best linear unbiased estimator in the general Gauss-Markov model
-
Baksalary, J. K., Puntanen, S., and Styan, G. P. H. (1990). A property of the dispersion matrix of the best linear unbiased estimator in the general Gauss-Markov model. Sankhya Series A, 52 (3), 279-296.
-
(1990)
Sankhya Series A
, vol.52
, Issue.3
, pp. 279-296
-
-
Baksalary, J.K.1
Puntanen, S.2
Styan, G.P.H.3
-
22
-
-
34547427242
-
Permanents in probability and statistics
-
Bapat, R. B. (1990). Permanents in probability and statistics. Linear Algebra and Its Applications. 127, 3-25.
-
(1990)
Linear Algebra and Its Applications
, vol.127
, pp. 3-25
-
-
Bapat, R.B.1
-
26
-
-
0020844706
-
The derivative of the determinant of X'X and its uses
-
Bates, D. M. (1983). The derivative of the determinant of X'X and its uses. Technometrics, 25, 373-376.
-
(1983)
Technometrics
, vol.25
, pp. 373-376
-
-
Bates, D.M.1
-
27
-
-
0022160838
-
Multiresponse estimation with special application to linear systems of differential equations (With Discussion)
-
Bates, D. M. and Watts, D. G. (1985). Multiresponse estimation with special application to linear systems of differential equations (with Discussion). Technometrics, 27, 329 360.
-
(1985)
Technometrics
, vol.27
, pp. 329 360
-
-
Bates, D.M.1
Watts, D.G.2
-
28
-
-
0012983475
-
A generalized Gauss-Newton procedure for mul-tiresponse parameter estimation
-
Bates, D. M. and Watts, D. G. (1987). A generalized Gauss-Newton procedure for mul-tiresponse parameter estimation. SIAM Journal of Science and Statistical Computing, 8, 49-55.
-
(1987)
SIAM Journal of Science and Statistical Computing
, vol.8
, pp. 49-55
-
-
Bates, D.M.1
Watts, D.G.2
-
31
-
-
84879143263
-
A complementary proof of an eigenvalue property in correspondence analysis
-
Benasseni, J. (2002). A complementary proof of an eigenvalue property in correspondence analysis. Linear Algebra and Its Applications, 354, 49-51.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 49-51
-
-
Benasseni, J.1
-
37
-
-
0542388335
-
Majorization and D-optimality for complete block designs under correlations
-
Bhaumik, D. K. (1995). Majorization and D-optimality for complete block designs under correlations. Journal of the Royal Statistical Society, Series B, 57, 139-143.
-
(1995)
Journal of the Royal Statistical Society, Series B
, vol.57
, pp. 139-143
-
-
Bhaumik, D.K.1
-
38
-
-
43149090360
-
-
Nova Science Publishers, Inc., New York
-
Bini, D., Tyrtyshnikov, E., and Yalamov, P. (2001). Structured Matrices: Recent Devel-opments in Theory and Computation. Nova Science Publishers, Inc., New York.
-
(2001)
Structured Matrices: Recent Devel-Opments in Theory and Computation
-
-
Bini, D.1
Tyrtyshnikov, E.2
Yalamov, P.3
-
40
-
-
0016611065
-
The inefficiency of least squares
-
Bloomfield, P. and Watson, G. S. (1975). The inefficiency of least squares. Biometrika, 62, 121-128.
-
(1975)
Biometrika
, vol.62
, pp. 121-128
-
-
Bloomfield, P.1
Watson, G.S.2
-
45
-
-
85120391994
-
Inverted Wishart distribution, generalized
-
A. H. El-Shaarwi and W. W. Piegorsch, John Wiley, New York
-
Brown, P. J. (2002). Inverted Wishart distribution, generalized. In A. H. El-Shaarwi and W. W. Piegorsch (Eds), Encyclopedia of Environmetrics. John Wiley, New York
-
(2002)
Encyclopedia of Environmetrics
-
-
Brown, P.J.1
-
47
-
-
49349122708
-
Minimisation of functions of a positive semidefinite matrix A subject to AX = 0
-
Calvert, B. and Seber, G. A. F. (1978). Minimisation of functions of a positive semidefinite matrix A subject to AX = 0. Journal of Multivariate Analysis, 8, 274-281.
-
(1978)
Journal of Multivariate Analysis
, vol.8
, pp. 274-281
-
-
Calvert, B.1
Seber, G.A.F.2
-
49
-
-
0007321815
-
Some cyclotomic matrices
-
Carlitz, L. (1959). Some cyclotomic matrices. Acta Arithmetica 5, 293-308.
-
(1959)
Acta Arithmetica
, vol.5
, pp. 293-308
-
-
Carlitz, L.1
-
52
-
-
85053391700
-
-
Chapman and Hall/CRC, Boca Raton, FL
-
Carroll, R. J., Ruppert, D., and Stefanski, L. A. (2006), Measurement Error in Nonlinear Models: A Modem Perspective, 2nd ed. Chapman and Hall/CRC, Boca Raton, FL.
-
(2006)
Measurement Error in Nonlinear Models: A Modem Perspective, 2Nd Ed
-
-
Carroll, R.J.1
Ruppert, D.2
Stefanski, L.A.3
-
54
-
-
33751406037
-
Applications of Markov chains in demography
-
A. N. Langville and W. J. Stewart, Boson Books, Raleigh, NC
-
Caswell, H. (2006). Applications of Markov chains in demography. In A. N. Langville and W. J. Stewart (Eds), MAM2006: Markov Anniversary Meeting, 319-334. Boson Books, Raleigh, NC.
-
(2006)
MAM2006: Markov Anniversary Meeting
, pp. 319-334
-
-
Caswell, H.1
-
55
-
-
33845623401
-
Sensitivity analysis of transient population dynamics
-
Caswell, H. (2007). Sensitivity analysis of transient population dynamics. Ecology Letters, 10, in press.
-
(2007)
Ecology Letters
, pp. 10
-
-
Caswell, H.1
-
59
-
-
0037753565
-
-
Springer, New York
-
Christensen, R. (2001). Advanced Linear Modeling: Multivariate, Times Series, and Spatial Data; Nonparametric Regression and Response Surface Maximization, 2nd ed. Springer, New York.
-
(2001)
Advanced Linear Modeling: Multivariate, Times Series, and Spatial Data; Nonparametric Regression and Response Surface Maximization, 2Nd Ed
-
-
Christensen, R.1
-
61
-
-
31344433217
-
On decomposing the Watson efficiency of ordinary least squares in a partitioned weakly singular model
-
Chu, K. L., Isotalo, J., Puntanen, S., and Styan, G. P. H. (2004). On decomposing the Watson efficiency of ordinary least squares in a partitioned weakly singular model. Sankha: The Indian Journal of Statistics, 66 (4), 634-651.
-
(2004)
Sankha: The Indian Journal of Statistics
, vol.66
, Issue.4
, pp. 634-651
-
-
Chu, K.L.1
Isotalo, J.2
Puntanen, S.3
Styan, G.P.H.4
-
62
-
-
31344466489
-
Some further results concerning the decomposition of the Watson efficiency in partitioned linear models
-
Chu, K. L., Isotalo, J., Puntanen, S., and Styan, G. P. H. (2005a). Some further results concerning the decomposition of the Watson efficiency in partitioned linear models. Sankha: The Indian Journal of Statistics, 67 (1), 74-89.
-
(2005)
Sankha: The Indian Journal of Statistics
, vol.67
, Issue.1
, pp. 74-89
-
-
Chu, K.L.1
Isotalo, J.2
Puntanen, S.3
Styan, G.P.H.4
-
63
-
-
33748313605
-
The efficiency factorization multiplier for the Watson efficiency in partitioned linear models; Some examples and a literature review
-
Available online at
-
Chu, K. L., Isotalo, J., Puntanen, S., and Styan, G. P. H. (2005b). The efficiency factorization multiplier for the Watson efficiency in partitioned linear models; Some examples and a literature review. Research Letters in the Information and Mathematical Sciences, 8, 165-187. Available online at http://iims.massey.ac.nz/research/letters/.
-
(2005)
Research Letters in the Information and Mathematical Sciences
, vol.8
, pp. 165-187
-
-
Chu, K.L.1
Isotalo, J.2
Puntanen, S.3
Styan, G.P.H.4
-
64
-
-
27344435275
-
Algorithm AS41: Updating the sample mean and dispersion matrix
-
Clarke, M. R. B. (1971). Algorithm AS41: Updating the sample mean and dispersion matrix. Applied Statistics, 20, 206-209.
-
(1971)
Applied Statistics
, vol.20
, pp. 206-209
-
-
Clarke, M.R.B.1
-
67
-
-
3142727192
-
A linear transformation and its properties with special application in times series filtering
-
Dagum, E. B. and Luati, A. (2004). A linear transformation and its properties with special application in times series filtering. Linear Algebra and Its Applications, 388, 107-117.
-
(2004)
Linear Algebra and Its Applications
, vol.388
, pp. 107-117
-
-
Dagum, E.B.1
Luati, A.2
-
70
-
-
0010883917
-
Nonnegative square matrices
-
Debreu, G. and Herstein, I. N. (1953). Nonnegative square matrices. Econometrica, 21, 597-607.
-
(1953)
Econometrica
, vol.21
, pp. 597-607
-
-
Debreu, G.1
Herstein, I.N.2
-
71
-
-
0001639099
-
The Jacobians of certain matrix transformations useful in multivariate analysis
-
Deemer, W. L. and Olkin, I. (1951). The Jacobians of certain matrix transformations useful in multivariate analysis. Biometrika, 38, 345-367.
-
(1951)
Biometrika
, vol.38
, pp. 345-367
-
-
Deemer, W.L.1
Olkin, I.2
-
72
-
-
0010399903
-
Primitivity conditions for growth matrices
-
Demetrius, L. (1971). Primitivity conditions for growth matrices. Mathematical Bio sciences, 12, 53-58.
-
(1971)
Mathematical Bio Sciences
, vol.12
, pp. 53-58
-
-
Demetrius, L.1
-
76
-
-
0001255794
-
A simple proof of an identity concerning pfaffians of skew symmetric matrices
-
Dress, A. W. M. and Wenzel, W. (1995). A simple proof of an identity concerning pfaffians of skew symmetric matrices. Advances in Mathematics, 112, 120-134.
-
(1995)
Advances in Mathematics
, vol.112
, pp. 120-134
-
-
Dress, A.W.M.1
Wenzel, W.2
-
77
-
-
21844522661
-
An accessible proof of Craig’s theorem in the general case
-
Driscoll, M. F. and Krasnicka, B. (1995). An accessible proof of Craig’s theorem in the general case. The American Statistician, 49 (1), 59-62.
-
(1995)
The American Statistician
, vol.49
, Issue.1
, pp. 59-62
-
-
Driscoll, M.F.1
Krasnicka, B.2
-
78
-
-
3142775742
-
Conditions for optimality in experimental designs
-
Druilhet, P. (2004). Conditions for optimality in experimental designs. Linear Algebra and Its Applications, 388, 147-157.
-
(2004)
Linear Algebra and Its Applications
, vol.388
, pp. 147-157
-
-
Druilhet, P.1
-
79
-
-
2942541078
-
Some comments on several matrix inequalities with applications to canonical correlations; historical background and recent developments
-
Drury, S. W., Liu, S., Lu, C.-Y., Puntanen, S., and Styan, G. P. H. (2002). Some comments on several matrix inequalities with applications to canonical correlations; historical background and recent developments. Sankha A, 62, 453-507.
-
(2002)
Sankha A
, vol.62
, pp. 453-507
-
-
Drury, S.W.1
Liu, S.2
Lu, C.-Y.3
Puntanen, S.4
Styan, G.P.H.5
-
81
-
-
0003554095
-
-
Clarendon Press, Oxford
-
Duff, I. S., Erisman, A. M., and Reid, J. K. (1986). Direct Methods for Sparse Matrices. Clarendon Press, Oxford.
-
(1986)
Direct Methods for Sparse Matrices
-
-
Duff, I.S.1
Erisman, A.M.2
Reid, J.K.3
-
82
-
-
58149211989
-
A simple proof and refinement of Wielandt’s eigenvalues inequality
-
Diimbgen, L. (1995). A simple proof and refinement of Wielandt’s eigenvalues inequality. Statistics & Probability Letters, 25, 113-115.
-
(1995)
Statistics & Probability Letters
, vol.25
, pp. 113-115
-
-
Diimbgen, L.1
-
83
-
-
0000115992
-
Some applications of matrix derivatives in multivariate analysis
-
Dwyer, P. S. (1967). Some applications of matrix derivatives in multivariate analysis. Journal of the American Statistical Association, 62, 607-625.
-
(1967)
Journal of the American Statistical Association
, vol.62
, pp. 607-625
-
-
Dwyer, P.S.1
-
84
-
-
0000158808
-
The non-singularity of generalized sample covariance matrices
-
Eaton, M. L. and Perlman, M. D. (1973). The non-singularity of generalized sample covariance matrices. Annals of Statistics, 1, 710-717.
-
(1973)
Annals of Statistics
, vol.1
, pp. 710-717
-
-
Eaton, M.L.1
Perlman, M.D.2
-
85
-
-
0001381004
-
On Wielandt’s inequality and its application to the asymptotic distribution of the eigenvalues of a random symmetric matrix
-
Eaton, M. L. and Tyler, D. E. (1991). On Wielandt’s inequality and its application to the asymptotic distribution of the eigenvalues of a random symmetric matrix. Annals of Statistics, 19, 260-271.
-
(1991)
Annals of Statistics
, vol.19
, pp. 260-271
-
-
Eaton, M.L.1
Tyler, D.E.2
-
86
-
-
0031068715
-
The probability that a random real Gaussian matrix has k real eigenvalues, related distributions and the circular law
-
Edelman, A. (1997). The probability that a random real Gaussian matrix has k real eigenvalues, related distributions and the circular law. Journal of Multivariate Analysis, 60, 203-232.
-
(1997)
Journal of Multivariate Analysis
, vol.60
, pp. 203-232
-
-
Edelman, A.1
-
87
-
-
0007592166
-
On the variation of the spectra of matrices
-
Eisner, L. (1982). On the variation of the spectra of matrices. Linear Algebra and Its Applications, 7, 127-138.
-
(1982)
Linear Algebra and Its Applications
, vol.7
, pp. 127-138
-
-
Eisner, L.1
-
88
-
-
0001382704
-
Associated random variables, with applications
-
Esary, J. D., Proschan, F., and Walkup, D. W. (1967). Associated random variables, with applications. The Annals of Mathematical Statistics, 38, 1466-1474.
-
(1967)
The Annals of Mathematical Statistics
, vol.38
, pp. 1466-1474
-
-
Esary, J.D.1
Proschan, F.2
Walkup, D.W.3
-
89
-
-
21144461956
-
A note on the updating of regression estimates
-
Escobar, L. A. and Moser, E. B. (1993). A note on the updating of regression estimates. The American Statistician, 47, 192-194.
-
(1993)
The American Statistician
, vol.47
, pp. 192-194
-
-
Escobar, L.A.1
Moser, E.B.2
-
90
-
-
0002242625
-
The singular-value decomposition as a tool for solving estimability problems
-
Eubank, R. L. and Webster, J. T. (1985). The singular-value decomposition as a tool for solving estimability problems. The American Statistician, 39 (1), 64-66.
-
(1985)
The American Statistician
, vol.39
, Issue.1
, pp. 64-66
-
-
Eubank, R.L.1
Webster, J.T.2
-
93
-
-
0000142610
-
On a theorem of Weyl concerning eigenvalues of linear transformations I
-
Fan, K. (1949). On a theorem of Weyl concerning eigenvalues of linear transformations I. Proceedings of the National Academy of Sciences of the USA, 35, 652-655.
-
(1949)
Proceedings of the National Academy of Sciences of the USA
, vol.35
, pp. 652-655
-
-
Fan, K.1
-
94
-
-
0000282987
-
Maximum properties and inequalities for eigenvalues of completely continuous operators
-
Fan, K. (1951). Maximum properties and inequalities for eigenvalues of completely continuous operators. Proceedings of the National Academy of Sciences of the USA, 37, 760-766.
-
(1951)
Proceedings of the National Academy of Sciences of the USA
, vol.37
, pp. 760-766
-
-
Fan, K.1
-
96
-
-
0003907281
-
-
Chapman and Hall, New York
-
Fang, K.-T., Kotz, S., and Ng, K.-W. (1990). Symmetric Multivariate and Related Dis-tributions. Chapman and Hall, New York.
-
(1990)
Symmetric Multivariate and Related Dis-Tributions
-
-
Fang, K.-T.1
Kotz, S.2
Ng, K.-W.3
-
98
-
-
0006080837
-
Further results on the mean square error of ridge regression
-
Farebrother, W. (1976). Further results on the mean square error of ridge regression. Journal of the Royal Statistical Society B, 38, 248-250.
-
(1976)
Journal of the Royal Statistical Society B
, vol.38
, pp. 248-250
-
-
Farebrother, W.1
-
99
-
-
27344450969
-
An alternative proof of Samuelson’s inequality and its extensions
-
Farnum, N. R. (1989). An alternative proof of Samuelson’s inequality and its extensions. The American Statistician, 43 (1), 46-47.
-
(1989)
The American Statistician
, vol.43
, Issue.1
, pp. 46-47
-
-
Farnum, N.R.1
-
101
-
-
0004271909
-
-
Pearson Education, Upper Saddle River, NJ
-
Friedberg, S. H., Insel, A. J., and Spence, L. E. (2003). Linear Algebra, 3rd ed. Pearson Education, Upper Saddle River, NJ.
-
(2003)
Linear Algebra, 3Rd Ed
-
-
Friedberg, S.H.1
Insel, A.J.2
Spence, L.E.3
-
105
-
-
84934318125
-
Multivariate elliptically contoured linear models and some aspects of the theory of random matrices
-
A. K. Gupta and V. C. Girko (Eds.), VSL, The Netherlands
-
Girko, V. L. and Gupta, A. K. (1996). Multivariate elliptically contoured linear models and some aspects of the theory of random matrices. In A. K. Gupta and V. C. Girko (Eds.), Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices, 327-386. VSL, The Netherlands.
-
(1996)
Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices
, pp. 327-386
-
-
Girko, V.L.1
Gupta, A.K.2
-
107
-
-
0003874920
-
Analysis of Time Series Structure: SSA and Related Techniques
-
Chapman and Hall/CRC, Boca Raton, FL
-
Golyandina, N., Nekrutkin, V., and Zhigljavsky, A. (2001). Analysis of Time Series Structure: SSA and Related Techniques. Monographs on Statistics and Applied Probability, 90. Chapman and Hall/CRC, Boca Raton, FL.
-
(2001)
Monographs on Statistics and Applied Probability
, pp. 90
-
-
Golyandina, N.1
Nekrutkin, V.2
Zhigljavsky, A.3
-
108
-
-
0001013602
-
Statistical analysis based upon a certain multivariate complex Gaussian distribution (An introduction)
-
Goodman, N. R. (1963). Statistical analysis based upon a certain multivariate complex Gaussian distribution (an introduction). Annals of Mathematical Statistics, 34, 152-177.
-
(1963)
Annals of Mathematical Statistics
, vol.34
, pp. 152-177
-
-
Goodman, N.R.1
-
110
-
-
2642534809
-
-
Oxford Statistical Science Series 30, Oxford University Press
-
Gower, J. C. and Dijksterhuis, G. B. (2004). Procrustes Problems. Oxford Statistical Science Series 30, Oxford University Press.
-
(2004)
Procrustes Problems
-
-
Gower, J.C.1
Dijksterhuis, G.B.2
-
114
-
-
85120389455
-
Iterative solution methods for linear systems
-
L. Hogben (Ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL
-
Greenbaum, A. (2007). Iterative solution methods for linear systems. In L. Hogben (Ed.), Handbook of Linear Algebra, Chapter 41. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL.
-
(2007)
Handbook of Linear Algebra, Chapter 41
-
-
Greenbaum, A.1
-
115
-
-
5744254112
-
Matrix inversion, its interest and application in data analysis
-
Greenberg, B. G. and Sarhan, A. E. (1959). Matrix inversion, its interest and application in data analysis. Journal of the American Statistical Association, 54, 755-766.
-
(1959)
Journal of the American Statistical Association
, vol.54
, pp. 755-766
-
-
Greenberg, B.G.1
Sarhan, A.E.2
-
119
-
-
0034359941
-
The Moore-Penrose inverse of a partitioned nonnegative definite matrix
-
Grofi, J. (2000). The Moore-Penrose inverse of a partitioned nonnegative definite matrix. Linear Algebra and Its applications, 321, 113-121.
-
(2000)
Linear Algebra and Its Applications
, vol.321
, pp. 113-121
-
-
Grofi, J.1
-
121
-
-
3042541634
-
The general Gauss-Markov model with possibly singular covariance matrix
-
Grofi, J. (2004). The general Gauss-Markov model with possibly singular covariance matrix. Statistical Papers, 45, 311-336.
-
(2004)
Statistical Papers
, vol.45
, pp. 311-336
-
-
Grofi, J.1
-
122
-
-
3843074810
-
A note on the expected value of an inverse matrix
-
Groves, T. and Rothenberg, T. (1969). A note on the expected value of an inverse matrix. Biometrika, 56, 690-691.
-
(1969)
Biometrika
, vol.56
, pp. 690-691
-
-
Groves, T.1
Rothenberg, T.2
-
126
-
-
84995522949
-
Operator trigonometry of statistics and economics
-
Gustafson, K. E. (2002). Operator trigonometry of statistics and economics. Linear Algebra and its Applications, 354, 141-158.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 141-158
-
-
Gustafson, K.E.1
-
129
-
-
0001103277
-
A generalized simplex for factor analysis
-
Guttman, L. (1955). A generalized simplex for factor analysis. Psychometrika, 20, 173-192.
-
(1955)
Psychometrika
, vol.20
, pp. 173-192
-
-
Guttman, L.1
-
130
-
-
0024682770
-
Updating the inverse of a matrix
-
Hager, W. W. (1989). Updating the inverse of a matrix. SIAM REview, 11 (2), 221-239.
-
(1989)
SIAM Review
, vol.11
, Issue.2
, pp. 221-239
-
-
Hager, W.W.1
-
132
-
-
0005362778
-
A combinatorial proof of Cayley’s theorem on Pfaffians
-
Halton, J. H. (1966a). A combinatorial proof of Cayley’s theorem on Pfaffians. Journal of Combinatorial Theory, 1, 224-232.
-
(1966)
Journal of Combinatorial Theory
, vol.1
, pp. 224-232
-
-
Halton, J.H.1
-
133
-
-
58149414074
-
An identity of the Jacobi type for Pfaffians
-
Halton, J. H. (1966b). An identity of the Jacobi type for Pfaffians. Journal of Combinatorial Theory, 1, 333-337.
-
(1966)
Journal of Combinatorial Theory
, vol.1
, pp. 333-337
-
-
Halton, J.H.1
-
135
-
-
0003543733
-
-
Cambridge University Press, Cambridge, UK
-
Hardy, G. H., Littlewood, J. E., and Polya, G. (1952). Inequalities. Cambridge University Press, Cambridge, UK.
-
(1952)
Inequalities
-
-
Hardy, G.H.1
Littlewood, J.E.2
Polya, G.3
-
138
-
-
84984281904
-
Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics
-
Henderson H. V. and Searle, S. R. (1979). Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics. Canadian Journal of Statistics, 7, 65-81.
-
(1979)
Canadian Journal of Statistics
, vol.7
, pp. 65-81
-
-
Henderson, H.V.1
Searle, S.R.2
-
139
-
-
0001446949
-
The vec-permutation matrix, the vec operator and Kronecker products
-
Henderson H. V. and Searle, S. R. (1981a). The vec-permutation matrix, the vec operator and Kronecker products. Linear and Multilinear Algebra, 9, 271-288.
-
(1981)
Linear and Multilinear Algebra
, vol.9
, pp. 271-288
-
-
Henderson, H.V.1
Searle, S.R.2
-
140
-
-
0001890697
-
On deriving the inverse of a sum of matrices
-
Henderson H. V. and Searle, S. R. (1981b). On deriving the inverse of a sum of matrices. SIAM Review, 23, 53-60.
-
(1981)
SIAM Review
, vol.23
, pp. 53-60
-
-
Henderson, H.V.1
Searle, S.R.2
-
141
-
-
84856833370
-
On the history of the Kno-necker product
-
Henderson H. V., Pukelsheim, F., and Searle, S. R. (1983). On the history of the Kno-necker product. Linear and Multilinear Algebra, 14, 113-120.
-
(1983)
Linear and Multilinear Algebra
, vol.14
, pp. 113-120
-
-
Henderson, H.V.1
Pukelsheim, F.2
Searle, S.R.3
-
144
-
-
84947403595
-
Probability inequalities for sums of bounded random variables
-
Hoeffding, W. (1963). Probability inequalities for sums of bounded random variables. Journal of the American Statistical Association, 58, 13-30.
-
(1963)
Journal of the American Statistical Association
, vol.58
, pp. 13-30
-
-
Hoeffding, W.1
-
145
-
-
85012885779
-
On the asymptotic behaviour of Markov chains with small random perturbations of transition probabilities
-
A. K. Gupta and V. C. Girko (Eds.), VSL, The Netherlands
-
Hoppensteadt, F., Salehi, H., and Skorokhod, A. (1996). On the asymptotic behaviour of Markov chains with small random perturbations of transition probabilities. In A. K. Gupta and V. C. Girko (Eds.), Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices, 93-100. VSL, The Netherlands.
-
(1996)
Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices
, pp. 93-100
-
-
Hoppensteadt, F.1
Salehi, H.2
Skorokhod, A.3
-
146
-
-
0004151494
-
-
Cambridge University Press, Cambridge, UK. Corrected reprint edition (1990)
-
Horn R. and Johnson, C.A. (1985). Matrix Analysis. Cambridge University Press, Cambridge, UK. Corrected reprint edition (1990)
-
(1985)
Matrix Analysis
-
-
Horn, R.1
Johnson, C.A.2
-
148
-
-
58149421595
-
Analysis of a complex of statistical variables into principal components
-
Hotelling, H. (1933). Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology, 24, 417-441.
-
(1933)
Journal of Educational Psychology
, vol.24
, pp. 417-441
-
-
Hotelling, H.1
-
150
-
-
84918713747
-
On symmetric, orthogonal and skew-symmetric matrices
-
Hsu, P. L. (1953). On symmetric, orthogonal and skew-symmetric matrices. Proceedings of the Royal Society of Edinburgh, 10, 37-44.
-
(1953)
Proceedings of the Royal Society of Edinburgh
, vol.10
, pp. 37-44
-
-
Hsu, P.L.1
-
151
-
-
26244444094
-
The use of the vec-permutation matrix in spatial matrix population models
-
Hunter, C. M. and Caswell, H. (2005). The use of the vec-permutation matrix in spatial matrix population models. Ecological Modelling, 188, 15-21.
-
(2005)
Ecological Modelling
, vol.188
, pp. 15-21
-
-
Hunter, C.M.1
Caswell, H.2
-
154
-
-
38249031682
-
Characterizations of generalized inverses associated with Markovian kernels
-
Hunter, J. J. (1988). Characterizations of generalized inverses associated with Markovian kernels. Linear Algebra and Its Applications, 102, 121-142.
-
(1988)
Linear Algebra and Its Applications
, vol.102
, pp. 121-142
-
-
Hunter, J.J.1
-
155
-
-
38549096424
-
Parametric forms for generalized inverses of Markovian kernels and their applications
-
Hunter, J. J. (1990). Parametric forms for generalized inverses of Markovian kernels and their applications. Linear Algebra and Its Applications, 127, 71-84.
-
(1990)
Linear Algebra and Its Applications
, vol.127
, pp. 71-84
-
-
Hunter, J.J.1
-
156
-
-
84958731745
-
The computation of stationary distributions of Markov chains through perturbations
-
Hunter, J. J. (1991). The computation of stationary distributions of Markov chains through perturbations. Journal of Applied Mathematics and Stochastic Analysis, 4 (1), 29-46.
-
(1991)
Journal of Applied Mathematics and Stochastic Analysis
, vol.4
, Issue.1
, pp. 29-46
-
-
Hunter, J.J.1
-
157
-
-
27344458042
-
Stationary distributions and mean first passage times in Markov chains using generalised inverses
-
Hunter, J. J. (1992). Stationary distributions and mean first passage times in Markov chains using generalised inverses. Asia-Pacific Journal of Operational Research, 9, 145-153.
-
(1992)
Asia-Pacific Journal of Operational Research
, vol.9
, pp. 145-153
-
-
Hunter, J.J.1
-
158
-
-
27344445788
-
Stationary distributions and mean first passage times of perturbed Markov chains
-
Hunter, J. J. (2005). Stationary distributions and mean first passage times of perturbed Markov chains. Linear Algebra and Its Applications, 410, 217-243.
-
(2005)
Linear Algebra and Its Applications
, vol.410
, pp. 217-243
-
-
Hunter, J.J.1
-
159
-
-
85120392300
-
-
Report A 350, Dept, of Mathematics, Statistics, and Philosophy, University of Tampere, Tampere, Finland
-
Isotalo, J., Puntanen, S., and Styan, G. P. H. (2005a). Formulas Useful for Linear Regression Analysis and Related Matrix Theory, 3rd ed. Report A 350, Dept, of Mathematics, Statistics, and Philosophy, University of Tampere, Tampere, Finland, 85 pp.
-
(2005)
Formulas Useful for Linear Regression Analysis and Related Matrix Theory, 3Rd Ed
, pp. 85
-
-
Isotalo, J.1
Puntanen, S.2
Styan, G.P.H.3
-
160
-
-
85120393454
-
-
Report A 363, Dept, of Mathematics, Statistics, and Philosophy, University of Tampere, Tampere, Finland
-
Isotalo, J., Puntanen, S., and Styan, G. P. H. (2005b). Matrix Tricks for Linear Statistical Models: Our Personal Top Sixteen, 3rd ed. Report A 363, Dept, of Mathematics, Statistics, and Philosophy, University of Tampere, Tampere, Finland, 207 pp.
-
(2005)
Matrix Tricks for Linear Statistical Models: Our Personal Top Sixteen, 3Rd Ed
, pp. 207
-
-
Isotalo, J.1
Puntanen, S.2
Styan, G.P.H.3
-
161
-
-
85120389429
-
Linear algebra in Maple
-
L. Hogben (Ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FA
-
Jeffrey, D. J. and Corless, R. M. (2007). Linear algebra in Maple. In L. Hogben (Ed.), Handbook of Linear Algebra, Chapter 72. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FA.
-
(2007)
Handbook of Linear Algebra, Chapter 72
-
-
Jeffrey, D.J.1
Corless, R.M.2
-
162
-
-
0001016694
-
Canonical correlations of past and future for times series
-
Jewell, N. P. and Bloomfield, P. (1983). Canonical correlations of past and future for times series. Annals of Statistics, 11, 837-847.
-
(1983)
Annals of Statistics
, vol.11
, pp. 837-847
-
-
Jewell, N.P.1
Bloomfield, P.2
-
163
-
-
4444370782
-
Updating formula in an analysis of variance model
-
John, J. A. (2001). Updating formula in an analysis of variance model. Biometrika, 88, 1175-1178.
-
(2001)
Biometrika
, vol.88
, pp. 1175-1178
-
-
John, J.A.1
-
164
-
-
0004168732
-
Cyclic and Computer Generated Designs, 2nd ed
-
Chapman and Hall, London, UK
-
John, J. A. and Williams, E. R. (1995). Cyclic and Computer Generated Designs, 2nd ed. Monographs on Statistics and Applied probability, 38. Chapman and Hall, London, UK.
-
(1995)
Monographs on Statistics and Applied Probability
, vol.38
-
-
John, J.A.1
Williams, E.R.2
-
166
-
-
84954873165
-
On extensions of Samuelson’s inequality (Letter to the Editor)
-
Kabe, D. G. (1980). On extensions of Samuelson’s inequality (Letter to the Editor). The American Statistician, 34 (4), 249.
-
(1980)
The American Statistician
, vol.34
, Issue.4
, pp. 249
-
-
Kabe, D.G.1
-
173
-
-
0002335132
-
Some extensions of the Kantorovich inequality and statistical applications
-
Khatri, C. G. and Rao, C. R. (1981). Some extensions of the Kantorovich inequality and statistical applications. Journal of Multivariate Analysis, 11, 498-505.
-
(1981)
Journal of Multivariate Analysis
, vol.11
, pp. 498-505
-
-
Khatri, C.G.1
Rao, C.R.2
-
174
-
-
0038895932
-
Some generalizations of the Kantorovich inequality
-
Khatri, C. G. and Rao, C. R. (1982). Some generalizations of the Kantorovich inequality. Sankhyd A, 44, 91-102.
-
(1982)
Sankhyd A
, vol.44
, pp. 91-102
-
-
Khatri, C.G.1
Rao, C.R.2
-
175
-
-
4544335472
-
Multivariate statistical inferences involving circulant matrices
-
A. K. Gupta and V. C. Girko (Eds.), VSL, The Netherlands
-
Khattree, R. (1996). Multivariate statistical inferences involving circulant matrices. In A. K. Gupta and V. C. Girko (Eds.), Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices, 101-110. VSL, The Netherlands.
-
(1996)
Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices
, pp. 101-110
-
-
Khattree, R.1
-
176
-
-
3142741792
-
Invariant symmetric block matrices for the design of mixture experiments
-
Klein, T. (2004). Invariant symmetric block matrices for the design of mixture experiments. Linear Algebra and Its Applications, 388, 261-278.
-
(2004)
Linear Algebra and Its Applications
, vol.388
, pp. 261-278
-
-
Klein, T.1
-
177
-
-
85041936002
-
On the minimum efficiency of least squares
-
Knott, M. (1975). On the minimum efficiency of least squares. Biometrika, 62, 129-132.
-
(1975)
Biometrika
, vol.62
, pp. 129-132
-
-
Knott, M.1
-
178
-
-
3142694963
-
The difference and sum of projectors
-
Koliha, J. J., Rakocevic, V., and Straskraba, I. (2004). The difference and sum of projectors. Linear Algebra and Its Applications, 388, 279-288.
-
(2004)
Linear Algebra and Its Applications
, vol.388
, pp. 279-288
-
-
Koliha, J.J.1
Rakocevic, V.2
Straskraba, I.3
-
179
-
-
0000542317
-
Asymptotics of eigenvalues and unit-length eigen-vectors of sample variance and correlation matrices
-
Kollo, T. and Neudecker, H. (1993). Asymptotics of eigenvalues and unit-length eigen-vectors of sample variance and correlation matrices. Journal of Multivariate Analysis, 47, 283-300
-
(1993)
Journal of Multivariate Analysis
, vol.47
, pp. 283-300
-
-
Kollo, T.1
Neudecker, H.2
-
180
-
-
0010005682
-
Asymptotics of Pearson-Hotelling principal-component vectors of sample variance and correlation matrices
-
Kollo, T. and Neudecker, H. (1997). Asymptotics of Pearson-Hotelling principal-component vectors of sample variance and correlation matrices. Behaviormetrika, 24 (1), 51-69.
-
(1997)
Behaviormetrika
, vol.24
, Issue.1
, pp. 51-69
-
-
Kollo, T.1
Neudecker, H.2
-
183
-
-
0010861764
-
Bounds for the probability of a union of events, with applications
-
Kounias, E. (1968). Bounds for the probability of a union of events, with applications. Annals of Statistics, 39, 2154-2158.
-
(1968)
Annals of Statistics
, vol.39
, pp. 2154-2158
-
-
Kounias, E.1
-
184
-
-
0016930969
-
Some recent developments on complex multivariate distribution
-
Krishnaiah, P. R. (1976). Some recent developments on complex multivariate distribution. Journal of Multivariate Analysis, 6, 1-30.
-
(1976)
Journal of Multivariate Analysis
, vol.6
, pp. 1-30
-
-
Krishnaiah, P.R.1
-
186
-
-
0001689229
-
On eigenvalues of matrices dependent on a parameter
-
Lancaster, P. (1964). On eigenvalues of matrices dependent on a parameter. Numerische Mathematik, 6, 337-346.
-
(1964)
Numerische Mathematik
, vol.6
, pp. 337-346
-
-
Lancaster, P.1
-
187
-
-
84913445540
-
Equalities and inequalities for the canonical correlations associated with some partitioned generalized inverses of a covariance matrix
-
Dept, of Mathematical Sciences, University of Tampere, Finland
-
Latour, D., Puntanen, S., and Styan, G. P. H. (1987). Equalities and inequalities for the canonical correlations associated with some partitioned generalized inverses of a covariance matrix. Proceedings of the Second International Tampere Seminar on Linear Statistical Models and Their Applications, 541-553. Dept, of Mathematical Sciences, University of Tampere, Finland.
-
(1987)
Proceedings of the Second International Tampere Seminar on Linear Statistical Models and Their Applications
, pp. 541-553
-
-
Latour, D.1
Puntanen, S.2
Styan, G.P.H.3
-
190
-
-
0037188312
-
Confidence regions for multino-mial parameters
-
Lee, A. J., Nyangoma, S. O., and Seber, G. A. F. (2002). Confidence regions for multino-mial parameters. Computational Statistics & Data Analysis, 39, 329-342.
-
(2002)
Computational Statistics & Data Analysis
, vol.39
, pp. 329-342
-
-
Lee, A.J.1
Nyangoma, S.O.2
Seber, G.A.F.3
-
191
-
-
85120392312
-
Matlab
-
L. Hogben (Ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL
-
Leon, S. J. (2007). Matlab. In L. Hogben (Ed.), Handbook of Linear Algebra, Chapter 71. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL.
-
(2007)
Handbook of Linear Algebra, Chapter 71
-
-
Leon, S.J.1
-
192
-
-
0002244535
-
The proper values of the sum and product of symmetric matrices
-
Lidskii, V. (1950). The proper values of the sum and product of symmetric matrices. Dokl. Akad. Nauk. SSSR, 75, 769-772
-
(1950)
Dokl. Akad. Nauk. SSSR
, vol.75
, pp. 769-772
-
-
Lidskii, V.1
-
193
-
-
0040480506
-
A further note on a theorem on the difference of the generalized inverses of two non-negative definite matrices
-
Liski, E. P. and Puntanen, S. (1989). A further note on a theorem on the difference of the generalized inverses of two non-negative definite matrices. Communications in Statistics—Theory and Methods, 18 (5), 1747-1751.
-
(1989)
Communications in Statistics—Theory and Methods
, vol.18
, Issue.5
, pp. 1747-1751
-
-
Liski, E.P.1
Puntanen, S.2
-
194
-
-
85014085914
-
Several inequalities involving Khatri-Rao products of positive semidefinite matrices
-
Liu, S. (2002a). Several inequalities involving Khatri-Rao products of positive semidefinite matrices. Linear Algebra and Its Applications, 354, 175-186.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 175-186
-
-
Liu, S.1
-
195
-
-
84971239675
-
Local influence in multivariate elliptical linear regression models
-
Liu, S. (2002b). Local influence in multivariate elliptical linear regression models. Linear Algebra and Its Applications, 354, 159-174.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 159-174
-
-
Liu, S.1
-
198
-
-
0004027527
-
-
John Wiley, New York. Reproduced in paperback, Wiley-Interscience Series (2004), Hoboken, NJ
-
McLachlan, G. J. (1992). Discriminant Analysis and Statistical Pattern Recognition. John Wiley, New York. Reproduced in paperback, Wiley-Interscience Series (2004), Hoboken, NJ.
-
(1992)
Discriminant Analysis and Statistical Pattern Recognition
-
-
McLachlan, G.J.1
-
199
-
-
0000387723
-
Matrix derivatives with an application to an adaptive decision problem
-
MacRae, E. C. (1974). Matrix derivatives with an application to an adaptive decision problem. Annals of Statistics, 2 (2), 337-346.
-
(1974)
Annals of Statistics
, vol.2
, Issue.2
, pp. 337-346
-
-
Macrae, E.C.1
-
200
-
-
84995046219
-
The moments of products of quadratic forms in normal variables
-
Magnus, J. R. (1978). The moments of products of quadratic forms in normal variables. Statistica Neerlandica, 32, 201-210.
-
(1978)
Statistica Neerlandica
, vol.32
, pp. 201-210
-
-
Magnus, J.R.1
-
201
-
-
0001134696
-
Multivariate error components analysis of linear and nonlinear regression models by maximum likelihood
-
Magnus, J. R. (1982). Multivariate error components analysis of linear and nonlinear regression models by maximum likelihood. Journal of Econometrics, 19, 239-285.
-
(1982)
Journal of Econometrics
, vol.19
, pp. 239-285
-
-
Magnus, J.R.1
-
203
-
-
0000489758
-
The commutation matrix: Some properties and applications
-
Magnus, J. R. and Neudecker, H. (1979). The commutation matrix: Some properties and applications. Annals of Statistics, 7, 381-394.
-
(1979)
Annals of Statistics
, vol.7
, pp. 381-394
-
-
Magnus, J.R.1
Neudecker, H.2
-
204
-
-
0003742389
-
-
John Wiley, Chichester, UK
-
Magnus, J. R. and Neudecker, H. (1999). Matrix Differential Calculas: With Applications in Statistics and Econometrics, revised ed. John Wiley, Chichester, UK.
-
(1999)
Matrix Differential Calculas: With Applications in Statistics and Econometrics, Revised Ed
-
-
Magnus, J.R.1
Neudecker, H.2
-
207
-
-
0001143341
-
On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples
-
Makelainen, T., Schmidt, K., and Styan, G. P. H. (1981). On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples. Annals of Statistics, 9, 758-767.
-
(1981)
Annals of Statistics
, vol.9
, pp. 758-767
-
-
Makelainen, T.1
Schmidt, K.2
Styan, G.P.H.3
-
208
-
-
0002226671
-
Use of the singular value decomposition in regression analysis
-
Mandel, J. (1982). Use of the singular value decomposition in regression analysis. The American Statistician, 36 (1), 15-24.
-
(1982)
The American Statistician
, vol.36
, Issue.1
, pp. 15-24
-
-
Mandel, J.1
-
210
-
-
84859529472
-
Equalities and inequalities for ranks of matri-ces
-
Marsaglia, G. and Styan, G. P. H. (1974a). Equalities and inequalities for ranks of matri-ces. Linear and Multilinear Algebra, 2, 269-292.
-
(1974)
Linear and Multilinear Algebra
, vol.2
, pp. 269-292
-
-
Marsaglia, G.1
Styan, G.P.H.2
-
211
-
-
0039321004
-
Rank conditions for generalized inverses of partitioned matrices
-
Marsaglia, G. and Styan, G. P. H. (1974b). Rank conditions for generalized inverses of partitioned matrices. Sankhya, 36, 437-442.
-
(1974)
Sankhya
, vol.36
, pp. 437-442
-
-
Marsaglia, G.1
Styan, G.P.H.2
-
212
-
-
0003428399
-
Inequalities: Theory of Majorization and Its Appli-cations
-
Academic Press, New York
-
Marshall, A. W. and Olkin, I. (1979). Inequalities: Theory of Majorization and Its Appli-cations. Mathematics in Science and Engineering, 143. Academic Press, New York.
-
(1979)
Mathematics in Science and Engineering
, pp. 143
-
-
Marshall, A.W.1
Olkin, I.2
-
213
-
-
0002056449
-
Matrix versions of the Cauchy and Kantorovich inequalities
-
Marshall, A. W. and Olkin, I. (1990). Matrix versions of the Cauchy and Kantorovich inequalities. Aequationes Mathematicae, 40, 89-93.
-
(1990)
Aequationes Mathematicae
, vol.40
, pp. 89-93
-
-
Marshall, A.W.1
Olkin, I.2
-
216
-
-
27344445629
-
Some complex matrix-variate statistical distri-butions on rectangular matrices
-
Mathai, A. M. and Provost, S. B. (2005). Some complex matrix-variate statistical distri-butions on rectangular matrices. Linear Algebra and Its Applications, 410, 198-216.
-
(2005)
Linear Algebra and Its Applications
, vol.410
, pp. 198-216
-
-
Mathai, A.M.1
Provost, S.B.2
-
219
-
-
27344439686
-
Matrix algebra for higher order moments
-
Meijer, E. (2005). Matrix algebra for higher order moments. Linear Algebra and Its Applications, 410, 112-134.
-
(2005)
Linear Algebra and Its Applications
, vol.410
, pp. 112-134
-
-
Meijer, E.1
-
221
-
-
3142784447
-
The best possible lower bound for the Perron root using traces
-
Merikoski, J. K. and Virtanen, A. (2004). The best possible lower bound for the Perron root using traces. Linear Algebra and Its Applications, 388, 301-313.
-
(2004)
Linear Algebra and Its Applications
, vol.388
, pp. 301-313
-
-
Merikoski, J.K.1
Virtanen, A.2
-
222
-
-
0016534380
-
The role of the group generalized inverse in the theory of finite Markov chains
-
Meyer, C. D. (1975). The role of the group generalized inverse in the theory of finite Markov chains. SIAM Review, 17 (3), 443-464.
-
(1975)
SIAM Review
, vol.17
, Issue.3
, pp. 443-464
-
-
Meyer, C.D.1
-
225
-
-
0004193192
-
-
Addison-Wesley, Reading, MA
-
Mine, H. (1978). Permanents. Addison-Wesley, Reading, MA.
-
(1978)
Permanents
-
-
Mine, H.1
-
226
-
-
84947882873
-
Theory of Permanents 1982-1985
-
Mine, H. (1987). Theory of Permanents 1982-1985. Linear and Multilinear Algebra, 21, 109-148.
-
(1987)
Linear and Multilinear Algebra
, vol.21
, pp. 109-148
-
-
Mine, H.1
-
228
-
-
0039703338
-
Shorted matrices and their applications in linear statistical models: A review
-
Tartu-Piihajarve, Estonia, 23-28 May 1994 In E.-M. Tiit, T. Kollo, and H. Niemi (Eds.), New Trends in Probability and Statistics, VSP, Utrecht, Netherlands, and TEV, Vilnius, Lithuania
-
Mitra, S. K., Puntanen, S., and Styan, G. P. H. (1995). Shorted matrices and their applications in linear statistical models: A review. Multivariate Statistics and Matrices in Statistics: Proceedings of the 5th Tartu Conference, Tartu-Piihajarve, Estonia, 23-28 May 1994 In E.-M. Tiit, T. Kollo, and H. Niemi (Eds.), New Trends in Probability and Statistics, Vol. 3, 289-311. VSP, Utrecht, Netherlands, and TEV, Vilnius, Lithuania.
-
(1995)
Multivariate Statistics and Matrices in Statistics: Proceedings of the 5Th Tartu Conference
, vol.3
, pp. 289-311
-
-
Mitra, S.K.1
Puntanen, S.2
Styan, G.P.H.3
-
229
-
-
0007192627
-
Shorted operators and generalized inverses of matri-ces
-
Mitra, S. K. and Puri, M. L. (1979). Shorted operators and generalized inverses of matri-ces. Linear Algebra and Its Applications, 25, 45-56.
-
(1979)
Linear Algebra and Its Applications
, vol.25
, pp. 45-56
-
-
Mitra, S.K.1
Puri, M.L.2
-
231
-
-
34447543341
-
A class of tests with monotone power functions for two problems in multivariate statistical analysis
-
Mudholkar, G. S. (1965). A class of tests with monotone power functions for two problems in multivariate statistical analysis. Annals of Mathematical Statistics, 36, 1794-1801.
-
(1965)
Annals of Mathematical Statistics
, vol.36
, pp. 1794-1801
-
-
Mudholkar, G.S.1
-
232
-
-
67649638171
-
On confidence bounds associated with multivariate analysis and non-independence between two sets of variates
-
Mudholkar, G. S. (1966). On confidence bounds associated with multivariate analysis and non-independence between two sets of variates. Annals of Mathematical Statistics, 37, 1736-1746.
-
(1966)
Annals of Mathematical Statistics
, vol.37
, pp. 1736-1746
-
-
Mudholkar, G.S.1
-
235
-
-
0001197393
-
On matrix differentiation in statistics
-
Nel, D. G. (1980). On matrix differentiation in statistics. South African Statistical Jour-nal, 14, 137-193.
-
(1980)
South African Statistical Jour-Nal
, vol.14
, pp. 137-193
-
-
Nel, D.G.1
-
236
-
-
84914977818
-
An alternative interpretation of the singular-value decomposition in regression
-
Nelder J. A. (1985). An alternative interpretation of the singular-value decomposition in regression. The American Statistician, 39 (1), 63-64.
-
(1985)
The American Statistician
, vol.39
, Issue.1
, pp. 63-64
-
-
Nelder, J.A.1
-
237
-
-
1242338177
-
On two matrix derivatives by Kollo and von Rosen
-
Neudecker, H. (2003). On two matrix derivatives by Kollo and von Rosen. SORT, 27 (2), 153-164.
-
(2003)
SORT
, vol.27
, Issue.2
, pp. 153-164
-
-
Neudecker, H.1
-
239
-
-
85010080446
-
Third and fourth moment matrices of vecX' in multivariate analysis
-
Neudecker, H. and Trenkler, G (2002). Third and fourth moment matrices of vecX' in multivariate analysis. Linear Algebra and Its Applications, 354, 223-229.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 223-229
-
-
Neudecker, H.1
Trenkler, G.2
-
240
-
-
0003781238
-
-
Cambridge University Press, New York
-
Norris, J. R. (1997). Markov Chains. Cambridge University Press, New York.
-
(1997)
Markov Chains
-
-
Norris, J.R.1
-
241
-
-
0004014246
-
-
Cambridge University Press, Cambridge
-
Northcott, D. G. (1984). Multilinear Algebra. Cambridge University Press, Cambridge.
-
(1984)
Multilinear Algebra
-
-
Northcott, D.G.1
-
242
-
-
21244499371
-
A parallel algorithm for computing the group inverse via Perron complementation
-
Noumann, M. and Xu, J. (2005). A parallel algorithm for computing the group inverse via Perron complementation. Electronic Journal of Linear Algebra, 13, 131-145.
-
(2005)
Electronic Journal of Linear Algebra
, vol.13
, pp. 131-145
-
-
Noumann, M.1
Xu, J.2
-
243
-
-
0000168012
-
Distinctness of the eigenvalues of a quadratic form in a multivariate sample
-
Okamoto, M. (1973). Distinctness of the eigenvalues of a quadratic form in a multivariate sample. Annals of Statistics, 1, 763-765.
-
(1973)
Annals of Statistics
, vol.1
, pp. 763-765
-
-
Okamoto, M.1
-
244
-
-
0040249408
-
Minimization of eigenvalues of a matrix and optimality of principal components
-
Okamoto, M. and Kanazawa, M. (1968). Minimization of eigenvalues of a matrix and optimality of principal components. Annals of Mathematical Statistics, 39, 859-863.
-
(1968)
Annals of Mathematical Statistics
, vol.39
, pp. 859-863
-
-
Okamoto, M.1
Kanazawa, M.2
-
245
-
-
0009985251
-
Note on the Jacobians of certain matrix transformations useful in mul-tivariate analysis
-
Olkin, I. (1953). Note on the Jacobians of certain matrix transformations useful in mul-tivariate analysis. Biometrika, 40, 43-46.
-
(1953)
Biometrika
, vol.40
, pp. 43-46
-
-
Olkin, I.1
-
246
-
-
84983296191
-
The 70th anniversary of the distribution of random matrices
-
Olkin, I. (2002). The 70th anniversary of the distribution of random matrices. Linear Algebra and Its Applications, 354, 231-243.
-
(2002)
Linear Algebra and Its Applications
, vol.354
, pp. 231-243
-
-
Olkin, I.1
-
247
-
-
0000657301
-
Jacobians of matrix transformations and induced functional equations
-
Olkin, I. and Sampson, A. R. (1972). Jacobians of matrix transformations and induced functional equations. Linear Algebra and Its Applications, 5, 257-276.
-
(1972)
Linear Algebra and Its Applications
, vol.5
, pp. 257-276
-
-
Olkin, I.1
Sampson, A.R.2
-
255
-
-
0007233288
-
T.W. Anderson’s theorem on the integral of a symmetric function over a symmetric convex set and its applications in probability and statistics
-
G. P. H. Styan (Ed.), John Wiley, New York
-
Perlman, M. D. (1990). T.W. Anderson’s theorem on the integral of a symmetric function over a symmetric convex set and its applications in probability and statistics. In G. P. H. Styan (Ed.), The Collected Papers of T. W. Anderson, 1943-1985, 2, 1627-1641. John Wiley, New York.
-
(1990)
The Collected Papers of T. W. Anderson, 1943-1985
, vol.2
, pp. 1627-1641
-
-
Perlman, M.D.1
-
256
-
-
85089659860
-
Concentration inequalities for multivariate distributions: II. El-liptically contoured distributions
-
M. Shaked and Y. L. Tong (Eds.), Institute of Mathe-matical Statistics, Hayward, Californina
-
Perlman, M. D. (1993). Concentration inequalities for multivariate distributions: II. El-liptically contoured distributions. In M. Shaked and Y. L. Tong (Eds.), Stochastic Inequalities, IMS Lecture Notes-Monograph Series, 22, 284-308. Institute of Mathe-matical Statistics, Hayward, Californina.
-
(1993)
Stochastic Inequalities, IMS Lecture Notes-Monograph Series
, vol.22
, pp. 284-308
-
-
Perlman, M.D.1
-
257
-
-
0000661332
-
A generalized multivariate analysis of variance model useful especially for growth curve models
-
Potthoff, R. F. and Roy, S. N. (1964). A generalized multivariate analysis of variance model useful especially for growth curve models. Biometrika, 51, 313-326.
-
(1964)
Biometrika
, vol.51
, pp. 313-326
-
-
Potthoff, R.F.1
Roy, S.N.2
-
258
-
-
27344435109
-
Kantorovich-type inequalities for operators via.D-optimal design theory
-
Pronzato, L, Wynn, H. P., and Zhigljavsky, A. (2005). Kantorovich-type inequalities for operators via.D-optimal design theory. Linear Algebra and Its Applications, 410, 160-169.
-
(2005)
Linear Algebra and Its Applications
, vol.410
, pp. 160-169
-
-
Pronzato, L.1
Wynn, H.P.2
Zhigljavsky, A.3
-
259
-
-
84952507576
-
The equality of the ordinary least squares estimator and the best linear unbiased estimator (With comments by Oscar Kempthorne and by Shayle Searle, and with “Reply” by the authors)
-
Puntanen, S. and Styan, G. P. H. (1989). The equality of the ordinary least squares estimator and the best linear unbiased estimator (with comments by Oscar Kempthorne and by Shayle Searle, and with “Reply” by the authors). The American Statistician, 43 (3), 153-164
-
(1989)
The American Statistician
, vol.43
, Issue.3
, pp. 153-164
-
-
Puntanen, S.1
Styan, G.P.H.2
-
260
-
-
34447551114
-
Historical introduction: Issai Schur and the early development of the Schur complement
-
F. Zhang (Ed.), Springer, New York
-
Puntanen, S. and Styan, G. P. H. (2005a). Historical introduction: Issai Schur and the early development of the Schur complement. In F. Zhang (Ed.), The Schur Complement and Its Applications, 1-16, Springer, New York.
-
(2005)
The Schur Complement and Its Applications
, pp. 1-16
-
-
Puntanen, S.1
Styan, G.P.H.2
-
261
-
-
34447514736
-
Schur complements in statistics and probability
-
F. Zhang (Ed.), Springer, New York
-
Puntanen, S. and Styan, G. P. H. (2005b). Schur complements in statistics and probability. In F. Zhang (Ed.), The Schur Complement and Its Applications, 163-226. Springer, New York.
-
(2005)
The Schur Complement and Its Applications
, pp. 163-226
-
-
Puntanen, S.1
Styan, G.P.H.2
-
262
-
-
85120390237
-
Chapter 52: Random Vectors and Linear Statistical Models
-
L. Hogben (Ed.), Taylor and Francis Group, Boca Raton, FL
-
Puntanen, S. and Styan, G. P. H. (2006). Chapter 52: Random Vectors and Linear Statistical Models. In L. Hogben (Ed.), Handbook of Linear Algebra, 52.1-52.17. Taylor and Francis Group, Boca Raton, FL.
-
(2006)
Handbook of Linear Algebra
-
-
Puntanen, S.1
Styan, G.P.H.2
-
263
-
-
85120391654
-
Three Bibiographies and a Guide: A third Guide on Books on Matrices and Books on Inequalities with Statistical and Other Applications, The Seventh Inernational Workshop on Matrices and Statistics
-
Nova Southern University, Fort Lauderdale, FL
-
Puntanen, S., Styan, G. P. H., and Jensen, S. T. (1998). Three Bibiographies and a Guide: A third Guide on Books on Matrices and Books on Inequalities with Statistical and Other Applications, The Seventh Inernational Workshop on Matrices and Statistics, in Celebration of T. W. Anderson’s 80th Birthday, Fort Lauderdale, Florida, 27-100. Nova Southern University, Fort Lauderdale, FL.
-
(1998)
Celebration of T. W. Anderson’s 80Th Birthday, Fort Lauderdale, Florida
, pp. 27-100
-
-
Puntanen, S.1
Styan, G.P.H.2
Jensen, S.T.3
-
264
-
-
0041706906
-
Two matrix-based proofs that the linear estimator Gy is the best linear unbiased estimator
-
Puntanen, S., Styan, G. P. H., and Werner, H. J. (2000). Two matrix-based proofs that the linear estimator Gy is the best linear unbiased estimator. Journal of Statistical Planning and Inference, 88, 173-179.
-
(2000)
Journal of Statistical Planning and Inference
, vol.88
, pp. 173-179
-
-
Puntanen, S.1
Styan, G.P.H.2
Werner, H.J.3
-
267
-
-
0000711209
-
Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
-
Rao, C. R. (1973b). Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix. Journal of Multivariate Analysis, 3, 276-292.
-
(1973)
Journal of Multivariate Analysis
, vol.3
, pp. 276-292
-
-
Rao, C.R.1
-
268
-
-
84947693213
-
Choice of best linear estimators in the Gauss-Markoff model with a singular dispersion matrix
-
Rao, C. R. (1978). Choice of best linear estimators in the Gauss-Markoff model with a singular dispersion matrix. Communications in Statistics-Theory and Methods, 7, 1199-1208.
-
(1978)
Communications in Statistics-Theory and Methods
, vol.7
, pp. 1199-1208
-
-
Rao, C.R.1
-
269
-
-
0006580818
-
Matrix approximations and reduction of dimensionality in multivariate statistical analysis
-
P. R Krishnaiah (Ed.), North-Holland Publishing Co
-
Rao, C. R. (1980). Matrix approximations and reduction of dimensionality in multivariate statistical analysis. In P. R Krishnaiah (Ed.), Multivariate Analysis-V, 3-22. North-Holland Publishing Co.
-
(1980)
Multivariate Analysis-V
, pp. 3-22
-
-
Rao, C.R.1
-
270
-
-
30244535615
-
A lemma on g-inverse of a matrix and computation of correlation coefficients in the singular case
-
Rao, C. R. (1981). A lemma on g-inverse of a matrix and computation of correlation coefficients in the singular case. Communications in Statistics-Theory and Methods, 10, 1-10.
-
(1981)
Communications in Statistics-Theory and Methods
, vol.10
, pp. 1-10
-
-
Rao, C.R.1
-
271
-
-
0000703153
-
The inefficiency of least squares: Extension of Kantorovich inequality
-
Rao, C. R. (1985). The inefficiency of least squares: Extension of Kantorovich inequality. Linear Algebra and Its Applications, 70, 249-255.
-
(1985)
Linear Algebra and Its Applications
, vol.70
, pp. 249-255
-
-
Rao, C.R.1
-
272
-
-
0034365314
-
Statistical proofs of some matrix inequalities
-
Rao, C. R. (2000). Statistical proofs of some matrix inequalities. Linear Algebra and Its Applications, 321, 307-320.
-
(2000)
Linear Algebra and Its Applications
, vol.321
, pp. 307-320
-
-
Rao, C.R.1
-
273
-
-
33748309641
-
Antieigenvalues and antisingular values of a matrix and applications to problems in statistics
-
Available online at
-
Rao, C. R. (2005). Antieigenvalues and antisingular values of a matrix and applications to problems in statistics. Research Letters in the Information and Mathematical Sciences, 8, 53-76. Available online at http://iims.massey.ac.nz/research/letters/.
-
(2005)
Research Letters in the Information and Mathematical Sciences
, vol.8
, pp. 53-76
-
-
Rao, C.R.1
-
275
-
-
0012540097
-
Stationary values of the product of two Raleigh coefficients: Homologous canonical variates
-
Rao, C. R. and Rao, C. V. (1987). Stationary values of the product of two Raleigh coefficients: Homologous canonical variates. Sankhyd B, 49, 113-125.
-
(1987)
Sankhyd B
, vol.49
, pp. 113-125
-
-
Rao, C.R.1
Rao, C.V.2
-
278
-
-
0003036527
-
On chi-squared tests for multiway contingency tables with cell proportions estimated from survey data
-
Rao, J. N. K. and Scott, A. J. (1984). On chi-squared tests for multiway contingency tables with cell proportions estimated from survey data. Annals of Statistics, 12, 46-60.
-
(1984)
Annals of Statistics
, vol.12
, pp. 46-60
-
-
Rao, J.N.K.1
Scott, A.J.2
-
279
-
-
0003558406
-
-
Chapman and Hall, London
-
Rao, P. S. R. S. (1997). Variance Components Estimation: Mixed Models, Methodologies and Applications, Monographs on Statistics and Applied Probability, 48. Chapman and Hall, London.
-
(1997)
Variance Components Estimation: Mixed Models, Methodologies and Applications, Monographs on Statistics and Applied Probability, 48
-
-
Rao, P.S.R.S.1
-
280
-
-
85120391725
-
New classes of probability inequalities for some classical dis-tributions
-
A. K. Gupta and V. C. Girko (Eds.), VSL, The Nether-lands
-
Richards, D. S. P. (1996). New classes of probability inequalities for some classical dis-tributions. In A. K. Gupta and V. C. Girko (Eds.), Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices, 217-224. VSL, The Nether-lands.
-
(1996)
Proceedings of the Sixth Lukacs Symposium, Analysis and Theory of Random Matrices
, pp. 217-224
-
-
Richards, D.S.P.1
-
281
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
Rockafellar, R. T. (1970). Convex Analysis. Princeton University Press, Princeton, NJ.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
282
-
-
0003430494
-
Matrix Derivatives
-
Marcel Dekker, New York
-
Rogers, G. S. (1980). Matrix Derivatives. Lecture Notes in Statistics, Vol. 2. Marcel Dekker, New York.
-
(1980)
Lecture Notes in Statistics
, vol.2
-
-
Rogers, G.S.1
-
283
-
-
0039815727
-
Kronecker products in ANOV-a first step
-
Rogers, G. S. (1984). Kronecker products in ANOV-a first step. The American Statis-tician, 38 (3), 197-202.
-
(1984)
The American Statis-Tician
, vol.38
, Issue.3
, pp. 197-202
-
-
Rogers, G.S.1
-
284
-
-
84947516125
-
On testing a multivariate linear hypothesis when the covariance matrix and its inverse have the same pattern
-
Rogers, G. S. and Young, D. L. (1978). On testing a multivariate linear hypothesis when the covariance matrix and its inverse have the same pattern. Journal of the American Statistical Association, 73, 203-207.
-
(1978)
Journal of the American Statistical Association
, vol.73
, pp. 203-207
-
-
Rogers, G.S.1
Young, D.L.2
-
285
-
-
65049088351
-
Non-negative matrices and stochastic matrices
-
L. Hogben (Ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL
-
Rothblum, U. G. (2007). Non-negative matrices and stochastic matrices. In L. Hogben (Ed.), Handbook of Linear Algebra, Chapter 9. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL.
-
(2007)
Handbook of Linear Algebra, Chapter 9
-
-
Rothblum, U.G.1
-
287
-
-
0042227245
-
On inverting a class of patterned matrices
-
Roy, S. N. and Sarhan, A. E. (1956). On inverting a class of patterned matrices. Biometrika, 43, 227-231.
-
(1956)
Biometrika
, vol.43
, pp. 227-231
-
-
Roy, S.N.1
Sarhan, A.E.2
-
288
-
-
85120391750
-
Mathematica
-
L. Hogben (Ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL
-
Ruskeepaa, H. (2007). Mathematica. In L. Hogben (Ed.), Handbook of Linear Algebra, Chapter 73. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL.
-
(2007)
Handbook of Linear Algebra, Chapter 73
-
-
Ruskeepaa, H.1
-
291
-
-
56149101430
-
A method of judging all contrasts in analysis of variance
-
Scheffe, H. (1953). A method of judging all contrasts in analysis of variance. Annals of Mathematical Statistics, 40, 87-104.
-
(1953)
Annals of Mathematical Statistics
, vol.40
, pp. 87-104
-
-
Scheffe, H.1
-
293
-
-
0008070528
-
On a separation theorem for generalized eigen-values and a problem in the analysis of sample surveys
-
Scott, A. J. and Styan, G. P. H. (1985). On a separation theorem for generalized eigen-values and a problem in the analysis of sample surveys. Linear Algebra and Its Appli-cations, 70, 209-224.
-
(1985)
Linear Algebra and Its Appli-Cations
, vol.70
, pp. 209-224
-
-
Scott, A.J.1
Styan, G.P.H.2
-
294
-
-
0004242197
-
-
John Wiley, New York. Reprinted in the Wiley Classics Library Reprint Edition (1997)
-
Searle, S. R. (1971). Linear Models. John Wiley, New York. Reprinted in the Wiley Classics Library Reprint Edition (1997).
-
(1971)
Linear Models
-
-
Searle, S.R.1
-
295
-
-
84892339604
-
A univariate formulation of the multivariate linear model
-
H. A. David (Ed.), Academic Press, New York
-
Searle, S. R. (1978). A univariate formulation of the multivariate linear model. In H. A. David (Ed.), Contributions to Survey Sampling and Applied Statistics, Papers in Honor of H. O. Hartley, 181-189. Academic Press, New York
-
(1978)
Contributions to Survey Sampling and Applied Statistics, Papers in Honor of H. O. Hartley
, pp. 181-189
-
-
Searle, S.R.1
-
297
-
-
0004264401
-
-
John Wiley, New York
-
Searle, S. R., McCulloch, C. E., and Casella, G. (1992). Variance Components. John Wiley, New York.
-
(1992)
Variance Components
-
-
Searle, S.R.1
McCulloch, C.E.2
Casella, G.3
-
298
-
-
84934612478
-
The linear hypothesis and large sample theory
-
Seber, G. A. F. (1964). The linear hypothesis and large sample theory. Annals of Mathematical Statistics, 35, 773-779.
-
(1964)
Annals of Mathematical Statistics
, vol.35
, pp. 773-779
-
-
Seber, G.A.F.1
-
299
-
-
85120390656
-
Asymptotic linearisation of non-linear hypotheses
-
Seber, G. A. F. (1967). Asymptotic linearisation of non-linear hypotheses. Sankhya, Series A, 29 (2), 183-190.
-
(1967)
Sankhya, Series A
, vol.29
, Issue.2
, pp. 183-190
-
-
Seber, G.A.F.1
-
300
-
-
0003737234
-
-
John Wiley, New York. For the second edition see Seber and Lee (2003) below
-
Seber, G. A. F. (1977). Linear Regression Analysis. John Wiley, New York. For the second edition see Seber and Lee (2003) below.
-
(1977)
Linear Regression Analysis
-
-
Seber, G.A.F.1
-
302
-
-
0003572871
-
-
Griffin, London. Also reprinted in paperback by Blackburn Press, Caldwell, NJ (2002)
-
Seber, G. A. F. (1982). The Estimation of Animal Abundance and Related Parameters, 2nd ed. Griffin, London. Also reprinted in paperback by Blackburn Press, Caldwell, NJ (2002).
-
(1982)
The Estimation of Animal Abundance and Related Parameters, 2Nd Ed
-
-
Seber, G.A.F.1
-
303
-
-
0004255301
-
-
John Wiley, New York. Also reprinted in the Wiley Interscience Paperback Series (2004)
-
Seber, G. A. F. (1984). Multivariate Observations. John Wiley, New York. Also reprinted in the Wiley Interscience Paperback Series (2004).
-
(1984)
Multivariate Observations
-
-
Seber, G.A.F.1
-
305
-
-
0005157284
-
Residuals for multinomial models
-
Seber, G. A. F. and Nyangoma, S. O. (2000). Residuals for multinomial models. Biometrika, 87, 183-191.
-
(2000)
Biometrika
, vol.87
, pp. 183-191
-
-
Seber, G.A.F.1
Nyangoma, S.O.2
-
306
-
-
0004246963
-
-
Wiley: New York. Also reprinted in the Wiley Interscience Paperback Series
-
Seber, G. A. F. and Wild, C. J. (1989). Nonlinear Regression. Wiley: New York. Also reprinted in the Wiley Interscience Paperback Series (2003).
-
(1989)
Nonlinear Regression
-
-
Seber, G.A.F.1
Wild, C.J.2
-
307
-
-
0001536824
-
Quadratic subspaces and completeness
-
Seeley, J. F. (1971). Quadratic subspaces and completeness. Annals of Mathematical Statistics, 42, 710-721.
-
(1971)
Annals of Mathematical Statistics
, vol.42
, pp. 710-721
-
-
Seeley, J.F.1
-
311
-
-
0011326720
-
Bounds on the difference of means
-
Ohio, August 19-27, 1965, Academic Press, New York
-
Shisha, O. and Mond, B. (1967). Bounds on the difference of means. Inequalities: Proceedings of a Symposium held at Wright-Patterson Air Force Base, Ohio, August 19-27, 1965, 293-308. Academic Press, New York.
-
(1967)
Inequalities: Proceedings of a Symposium Held at Wright-Patterson Air Force Base
, pp. 293-308
-
-
Shisha, O.1
Mond, B.2
-
312
-
-
85120389443
-
Numerical methods for eigenvalues
-
L. Hogben (ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL
-
Slapnicar, I. (2007). Numerical methods for eigenvalues. In L. Hogben (ed.), Handbook of Linear Algebra, Chapter 42. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL.
-
(2007)
Handbook of Linear Algebra, Chapter 42
-
-
Slapnicar, I.1
-
313
-
-
0035885367
-
The factorability of symmetric matrices and some implications for statistical linear models
-
Smith, S. P. (2001). The factorability of symmetric matrices and some implications for statistical linear models. Linear Algebra and Its Applications, 335, 63-80.
-
(2001)
Linear Algebra and Its Applications
, vol.335
, pp. 63-80
-
-
Smith, S.P.1
-
316
-
-
0242511222
-
Singular Wishart and multivariate beta distributions
-
Srivastava, M. S. (2003). Singular Wishart and multivariate beta distributions. Annals of Statistics, 31, 1537-1560.
-
(2003)
Annals of Statistics
, vol.31
, pp. 1537-1560
-
-
Srivastava, M.S.1
-
319
-
-
84925591808
-
A note on the arithmetic-geometric-harmonic mean inequalities
-
Stefanski, L. A. (1996). A note on the arithmetic-geometric-harmonic mean inequalities. The American Statistician, 50 (3), 246-247.
-
(1996)
The American Statistician
, vol.50
, Issue.3
, pp. 246-247
-
-
Stefanski, L.A.1
-
320
-
-
0015482839
-
On the sensitivity of the eigenvalue problem Ax = ABx
-
Stewart, G. W. (1972). On the sensitivity of the eigenvalue problem Ax = ABx. SIAM Journal of Numerical Analysis, 9, 669-696.
-
(1972)
SIAM Journal of Numerical Analysis
, vol.9
, pp. 669-696
-
-
Stewart, G.W.1
-
325
-
-
0000937596
-
On some inequalities associated with ordinary least squares and the Kantorovich inequality
-
University of Tampere
-
Styan, G. P. H. (1983). On some inequalities associated with ordinary least squares and the Kantorovich inequality. Festscrift for Eino Haikala on his Seventieth birthday, Acta Universitatis Tamperensis, Series A, 153, 158-166. University of Tampere.
-
(1983)
Festscrift for Eino Haikala on His Seventieth Birthday, Acta Universitatis Tamperensis, Series A
, vol.153
, pp. 158-166
-
-
Styan, G.P.H.1
-
326
-
-
0010193444
-
Schur complements and linear statistical models
-
T. Pukkila and S. Putanen (Eds.), Department of Mathematical Sciences, University of Tampere, Finland
-
Styan, G. P. H. (1985). Schur complements and linear statistical models. In T. Pukkila and S. Putanen (Eds.), Proceedings of the First Tampere Seminar on Linear Statistical Models and Their Applications, 37-35. Department of Mathematical Sciences, University of Tampere, Finland.
-
(1985)
Proceedings of the First Tampere Seminar on Linear Statistical Models and Their Applications
, pp. 35-37
-
-
Styan, G.P.H.1
-
327
-
-
33746217010
-
Three useful expressions for expectations involving a Wishart matrix and its inverse
-
Y. Dodge (Ed.), North-Holland, Amsterdam
-
Styan, G. P. H. (1989). Three useful expressions for expectations involving a Wishart matrix and its inverse. In Y. Dodge (Ed.), Statistical Data Analysis and Inference, 283-296. North-Holland, Amsterdam.
-
(1989)
Statistical Data Analysis and Inference
, pp. 283-296
-
-
Styan, G.P.H.1
-
328
-
-
3142765546
-
Matrices with special reference to applications in psychometrics
-
Takane, Y. (2004). Matrices with special reference to applications in psychometrics. Lin-ear Algebra and Its Applications, 388, 341-361.
-
(2004)
Lin-Ear Algebra and Its Applications
, vol.388
, pp. 341-361
-
-
Takane, Y.1
-
330
-
-
49849103970
-
Eigenvectors of block circulant and alternating circulant matrices
-
Available online at
-
Tee, G. J. (2005). Eigenvectors of block circulant and alternating circulant matrices. Research Letters in the Information and Mathematical Sciences, 8, 123-142. Available online at http://iims.massey.ac.nz/research/letters/.
-
(2005)
Research Letters in the Information and Mathematical Sciences
, vol.8
, pp. 123-142
-
-
Tee, G.J.1
-
331
-
-
62949107887
-
Bounds for Chakrabarti’s measure of imbalance in experimental design
-
T. Pukkila and S. Putanen (Eds.), Department of Mathematical Sciences, University of Tampere, Finland
-
Thibaudeau, Y. and Styan, G. P. H. (1985). Bounds for Chakrabarti’s measure of imbalance in experimental design. In T. Pukkila and S. Putanen (Eds.), Proceedings of the First Tampere Seminar on Linear Statistical Models and Their Applications, 323-347. Department of Mathematical Sciences, University of Tampere, Finland.
-
(1985)
Proceedings of the First Tampere Seminar on Linear Statistical Models and Their Applications
, pp. 323-347
-
-
Thibaudeau, Y.1
Styan, G.P.H.2
-
332
-
-
0034359185
-
Completing block matrices with maximal and minimal ranks
-
Tian, Y. (2000). Completing block matrices with maximal and minimal ranks. Linear Algebra and Its Applications, 321, 327-345.
-
(2000)
Linear Algebra and Its Applications
, vol.321
, pp. 327-345
-
-
Tian, Y.1
-
333
-
-
0038568318
-
Upper and lower bounds of matrix expressions using generalized inverses
-
Tian, Y. (2002). Upper and lower bounds of matrix expressions using generalized inverses. Linear Algebra and Its Applications, 355, 187-214.
-
(2002)
Linear Algebra and Its Applications
, vol.355
, pp. 187-214
-
-
Tian, Y.1
-
334
-
-
3042598385
-
Rank equalities for block matrices and their Moore-Penrose inverses
-
Tian, Y. (2004). Rank equalities for block matrices and their Moore-Penrose inverses. Houston Journal of Mathematics, 30 (2), 483-510.
-
(2004)
Houston Journal of Mathematics
, vol.30
, Issue.2
, pp. 483-510
-
-
Tian, Y.1
-
335
-
-
33744765507
-
The reverse-order law (AB)+ = B+ (A+ BB+)+A+ and its equivalent equalities
-
Tian, Y. (2005a). The reverse-order law (AB)+ = B+ (A+ BB+)+A+ and its equivalent equalities. Journal of Mathematics of Kyoto University, 45, 841-850.
-
(2005)
Journal of Mathematics of Kyoto University
, vol.45
, pp. 841-850
-
-
Tian, Y.1
-
336
-
-
61649113756
-
Special forms of generalized inverses of row block matrices
-
Tian, Y. (2005b). Special forms of generalized inverses of row block matrices. Electronic Journal of Linear Algebra, 13, 249-261.
-
(2005)
Electronic Journal of Linear Algebra
, vol.13
, pp. 249-261
-
-
Tian, Y.1
-
337
-
-
33745510304
-
Invariance properties of a triple matrix product involving generalized inverses
-
Tian, Y. (2006a). Invariance properties of a triple matrix product involving generalized inverses. Linear Algebra and Its Applications, 417, 94-107.
-
(2006)
Linear Algebra and Its Applications
, vol.417
, pp. 94-107
-
-
Tian, Y.1
-
338
-
-
33750713359
-
Ranks and independence of solutions of the matrix AXB + CYD = M
-
Tian, Y. (2006b). Ranks and independence of solutions of the matrix AXB + CYD = M. Acta Math. Univ. Comeniannae, 75 (1), 1-10.
-
(2006)
Acta Math. Univ. Comeniannae
, vol.75
, Issue.1
, pp. 1-10
-
-
Tian, Y.1
-
340
-
-
0035885361
-
Some rank inequalities for idempotent and involu-tionary matrices
-
Tian, Y. and Styan, G. P. H. (2001). Some rank inequalities for idempotent and involu-tionary matrices. Linear Algebra and Its Applications, 335, 101-117.
-
(2001)
Linear Algebra and Its Applications
, vol.335
, pp. 101-117
-
-
Tian, Y.1
Styan, G.P.H.2
-
341
-
-
24144456147
-
Cochran’s theorem for outer inverses of matrices and matrix quadratic forms
-
Tian, Y. and Styan, G. P. H. (2005). Cochran’s theorem for outer inverses of matrices and matrix quadratic forms. Linear and Multilinear Algebra, 53 (5), 387-392.
-
(2005)
Linear and Multilinear Algebra
, vol.53
, Issue.5
, pp. 387-392
-
-
Tian, Y.1
Styan, G.P.H.2
-
346
-
-
0020969484
-
Some distribution properties of the sample species-diversity indices and their applications
-
Tong, Y. L. (1983). Some distribution properties of the sample species-diversity indices and their applications. Biometrics, 39, 999-1008.
-
(1983)
Biometrics
, vol.39
, pp. 999-1008
-
-
Tong, Y.L.1
-
349
-
-
0001977422
-
Characterizations of oblique and orthogonal projectors
-
T. Calinski and R. Kala (Eds.), Kluwer Academic Publishers, Netherlands
-
Trenkler, G. (1994). Characterizations of oblique and orthogonal projectors. In T. Calinski and R. Kala (Eds.), Proceedings of the International Conference on Linear Statistical Inference LINSTAT’93, 255-270. Kluwer Academic Publishers, Netherlands.
-
(1994)
Proceedings of the International Conference on Linear Statistical Inference LINSTAT’93
, pp. 255-270
-
-
Trenkler, G.1
-
351
-
-
70449536112
-
Matrix equalities and inequalities
-
L. Hogben (Ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL
-
Tsatsomeros, M. (2007). Matrix equalities and inequalities. In L. Hogben (Ed.), Handbook of Linear Algebra, Chapter 14. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL.
-
(2007)
Handbook of Linear Algebra, Chapter 14
-
-
Tsatsomeros, M.1
-
353
-
-
0003913551
-
Characterization of 2-type diagonal matrices with an application to order statistics
-
Ukita, Y. (1955). Characterization of 2-type diagonal matrices with an application to order statistics. Journal of Hokkaido College of Art and Literature, 6, 66-75.
-
(1955)
Journal of Hokkaido College of Art and Literature
, vol.6
, pp. 66-75
-
-
Ukita, Y.1
-
354
-
-
3142689140
-
Wishartness and independence of matrix quadra-tric forms for Kronecker product covariance structures
-
Vaish, A. K. and Chaganty, N. R. (2004). Wishartness and independence of matrix quadra-tric forms for Kronecker product covariance structures. Linear Algebra and Its Applications, 388, 379-388.
-
(2004)
Linear Algebra and Its Applications
, vol.388
, pp. 379-388
-
-
Vaish, A.K.1
Chaganty, N.R.2
-
357
-
-
85120390070
-
Permanents
-
L. Hogben (Ed.), Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL
-
Wanless, I. M. (2007). Permanents. In L. Hogben (Ed.), Handbook of Linear Algebra, Chapter 31. Chapman and Hall/CRC, Taylor and Francis Group, Boca Raton, FL.
-
(2007)
Handbook of Linear Algebra, Chapter 31
-
-
Wanless, I.M.1
-
358
-
-
0033464626
-
A matrix version of the Wielandt inequality and its application to statistics
-
Wang, S. G. and Ip, W. C. (2000). A matrix version of the Wielandt inequality and its application to statistics. Linear Algebra and Its Applications, 296, 171-181.
-
(2000)
Linear Algebra and Its Applications
, vol.296
, pp. 171-181
-
-
Wang, S.G.1
Ip, W.C.2
-
360
-
-
0000807580
-
Toeplitz matrices
-
I. I. Hirschmann, Jr. (Ed.), Prentice-Hall, Englewood Cliffs, NJ
-
Widom, H. (1965). Toeplitz matrices. In I. I. Hirschmann, Jr. (Ed.), Studies in Real and Complex Analysis, MAA Studies in Mathematics, Prentice-Hall, Englewood Cliffs, NJ.
-
(1965)
Studies in Real and Complex Analysis, MAA Studies in Mathematics
-
-
Widom, H.1
-
362
-
-
0010596223
-
Constructing all simultaneous confidence sets in a given class, with applications to MANOVA
-
Wijsmann, R. A. (1979). Constructing all simultaneous confidence sets in a given class, with applications to MANOVA. Annals of Statistics, 7, 1003-1018.
-
(1979)
Annals of Statistics
, vol.7
, pp. 1003-1018
-
-
Wijsmann, R.A.1
-
363
-
-
0011465207
-
Updating the average efficiency factor in a-designs
-
Williams, E. R. and John, J. A. (2000). Updating the average efficiency factor in a-designs. Biometrika, 87, 695-699.
-
(2000)
Biometrika
, vol.87
, pp. 695-699
-
-
Williams, E.R.1
John, J.A.2
-
367
-
-
0031540156
-
Quaternions and matrices of quaternions
-
Zhang, Fuzhen (1997). Quaternions and matrices of quaternions. Linear Algebra and Its Applications, 251, 21-57.
-
(1997)
Linear Algebra and Its Applications
, vol.251
, pp. 21-57
-
-
Zhang, F.1
|