-
1
-
-
0000342767
-
A distribution-free M-estimator of multivariate scatter
-
D.E. Tyler, A distribution-free M-estimator of multivariate scatter, Ann. Statist. 15 (1987), pp. 234-251.
-
(1987)
Ann. Statist
, vol.15
, pp. 234-251
-
-
Tyler, D.E.1
-
2
-
-
7744247580
-
On Tyleŕs M-functional of scatter in high dimension
-
L. Diümbgen, On Tyleŕs M-functional of scatter in high dimension, Ann. Inst. Statist. Math. 50 (1998), pp. 471-491.
-
(1998)
Ann. Inst. Statist. Math
, vol.50
, pp. 471-491
-
-
Diümbgen, L.1
-
3
-
-
34547322109
-
Semiparametrically efficient rank-based inference for shape. I. Optimal rank-based tests for sphericity
-
M. Hallin and D. Paindaveine, Semiparametrically efficient rank-based inference for shape. I. Optimal rank-based tests for sphericity, Ann. Statist. 34 (2006), pp. 2707-2756.
-
(2006)
Ann. Statist
, vol.34
, pp. 2707-2756
-
-
Hallin, M.1
Paindaveine, D.2
-
4
-
-
0041611613
-
Some optimal multivariate tests
-
S. John, Some optimal multivariate tests, Biometrika 58 (1971), pp. 123-127.
-
(1971)
Biometrika
, vol.58
, pp. 123-127
-
-
John, S.1
-
5
-
-
0042613506
-
The distribution of a statistic used for testing sphericity of normal distributions
-
S. John, The distribution of a statistic used for testing sphericity of normal distributions, Biometrika 59 (1972), pp. 169-173.
-
(1972)
Biometrika
, vol.59
, pp. 169-173
-
-
John, S.1
-
6
-
-
50649097697
-
A canonical definition of shape
-
D. Paindaveine, A canonical definition of shape, Statist. Probab. Lett. 78 (2008), pp. 2240-2247.
-
(2008)
Statist. Probab. Lett
, vol.78
, pp. 2240-2247
-
-
Paindaveine, D.1
-
7
-
-
0000141380
-
Significance test for sphericity of a normal n-variate distribution
-
J.W. Mauchly, Significance test for sphericity of a normal n-variate distribution, Ann. Math. Statist. 11 (1940), pp. 204-209.
-
(1940)
Ann. Math. Statist
, vol.11
, pp. 204-209
-
-
Mauchly, J.W.1
-
8
-
-
0018904089
-
Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations
-
R.J. Muirhead and CM. Waternaux, Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations, Biometrika 67 (1980), pp. 31-43.
-
(1980)
Biometrika
, vol.67
, pp. 31-43
-
-
Muirhead, R.J.1
Waternaux, C.M.2
-
9
-
-
0001584323
-
Radial estimates and the test for the sphericity
-
D.E. Tyler, Radial estimates and the test for the sphericity, Biometrika 69 (1982), pp. 429-436.
-
(1982)
Biometrika
, vol.69
, pp. 429-436
-
-
Tyler, D.E.1
-
10
-
-
0001076947
-
Robustness and efficiency properties of scatter matrices
-
D.E. Tyler, Robustness and efficiency properties of scatter matrices, Biometrika 70 (1983), pp. 411-120.
-
(1983)
Biometrika
, vol.70
, pp. 411-120
-
-
Tyler, D.E.1
-
11
-
-
30244441868
-
Locally best invariant test for sphericity and the limiting distributions
-
N. Sugiura, Locally best invariant test for sphericity and the limiting distributions, Ann. Math. Statis. 43 (1972), pp. 1312-1316.
-
(1972)
Ann. Math. Statis
, vol.43
, pp. 1312-1316
-
-
Sugiura, N.1
-
12
-
-
0000029216
-
On some test criteria for covariance matrix
-
H. Nagao, On some test criteria for covariance matrix, Ann. Statist. 1 (1973), pp. 700-709.
-
(1973)
Ann. Statist
, vol.1
, pp. 700-709
-
-
Nagao, H.1
-
13
-
-
34547337738
-
Semiparametrically efficient rank-based inference for shape. II. Optimal R-estimation of shape
-
M. Hallin, H. Oja, and D. Paindaveine, Semiparametrically efficient rank-based inference for shape. II. Optimal R-estimation of shape, Ann. Statist. 34 (2006), pp. 2757-2789.
-
(2006)
Ann. Statist
, vol.34
, pp. 2757-2789
-
-
Hallin, M.1
Oja, H.2
Paindaveine, D.3
-
14
-
-
0000354169
-
Multivariate spatial sign and rank methods
-
J. Möttönen and H. Oja, Multivariate spatial sign and rank methods, J. Nonparametr. Statist. 5 (1995), pp. 201-213.
-
(1995)
J. Nonparametr. Statist
, vol.5
, pp. 201-213
-
-
Möttönen, J.1
Oja, H.2
-
15
-
-
0038029747
-
Multivariate nonparametric tests in randomized complete block design
-
J. Möttönen, J. Hüsler, and H. Oja, Multivariate nonparametric tests in randomized complete block design, J. Multivariate Anal. 85 (2003), pp. 106-129.
-
(2003)
J. Multivariate Anal
, vol.85
, pp. 106-129
-
-
Möttönen, J.1
Hüsler, J.2
Oja, H.3
-
16
-
-
18844444483
-
Multivariate nonparametric tests
-
H. Oja and R. Randies, Multivariate nonparametric tests, Statist. Sci. 19 (2004), pp. 598-605.
-
(2004)
Statist. Sci
, vol.19
, pp. 598-605
-
-
Oja, H.1
Randies, R.2
-
17
-
-
0010927752
-
Statistical analysis for the angular central Gaussian distribution on the sphere
-
D.E. Tyler, Statistical analysis for the angular central Gaussian distribution on the sphere, Biometrika 74 (1987), pp. 579-589.
-
(1987)
Biometrika
, vol.74
, pp. 579-589
-
-
Tyler, D.E.1
-
18
-
-
0001596083
-
Sign and rank covariane matrices
-
S. Visuri, H. Oja, and V. Koivunen, Sign and rank covariane matrices, J. Statist. Plann. Inference 91 (2000), pp. 557-575.
-
(2000)
J. Statist. Plann. Inference
, vol.91
, pp. 557-575
-
-
Visuri, S.1
Oja, H.2
Koivunen, V.3
-
19
-
-
0031490487
-
On the efficiency of multivariate spatial sign and rank tests
-
J. Möttönen, H. Oja, and J. Tienari, On the efficiency of multivariate spatial sign and rank tests, Ann. Statist. 25 (1997), pp. 542-552.
-
(1997)
Ann. Statist
, vol.25
, pp. 542-552
-
-
Möttönen, J.1
Oja, H.2
Tienari, J.3
-
20
-
-
0000072173
-
Robust principal components for functional data
-
N. Locantore, J.S. Marron, D.G. Simpson, N. Tripoli, J.T. Zhang, and K.L. Cohen, Robust principal components for functional data, Test 8 (1999), pp. 1-73.
-
(1999)
Test
, vol.8
, pp. 1-73
-
-
Locantore, N.1
Marron, J.S.2
Simpson, D.G.3
Tripoli, N.4
Zhang, J.T.5
Cohen, K.L.6
-
21
-
-
0033565077
-
Some robust estimates of principal components
-
J.I. Marden, Some robust estimates of principal components, Statist. Probab. Lett. 43 (1999), pp. 349-359.
-
(1999)
Statist. Probab. Lett
, vol.43
, pp. 349-359
-
-
Marden, J.I.1
-
23
-
-
0035447436
-
Subspace-based direction of arrival estimation using nonparametric statistics
-
S. Visuri, H. Oja, and V. Koivunen, Subspace-based direction of arrival estimation using nonparametric statistics, IEEE Trans. Signal Process. 49 (2001), pp. 2060-2073.
-
(2001)
IEEE Trans. Signal Process
, vol.49
, pp. 2060-2073
-
-
Visuri, S.1
Oja, H.2
Koivunen, V.3
-
24
-
-
24944574513
-
A practical affine equivariant multivariate median
-
TP. Hettmansperger and R.H. Randies, A practical affine equivariant multivariate median, Biometrika 89 (2002), pp. 851-860.
-
(2002)
Biometrika
, vol.89
, pp. 851-860
-
-
Hettmansperger, T.P.1
Randies, R.H.2
-
25
-
-
0442293814
-
A simpler, affine equivariant multivariate, distribution-free sign test
-
R.H. Randies, A simpler, affine equivariant multivariate, distribution-free sign test, J. Amer. Statist. Assoc. 95 (2000), pp. 1263-1268.
-
(2000)
J. Amer. Statist. Assoc
, vol.95
, pp. 1263-1268
-
-
Randies, R.H.1
-
26
-
-
34548125236
-
Symmetrised M-estimators of multivariate scatter
-
S. Sirkiä, S. Taskinen, and H. Oja, Symmetrised M-estimators of multivariate scatter, J. Multivariate Anal. 98 (2007), pp. 1611-1629.
-
(2007)
J. Multivariate Anal
, vol.98
, pp. 1611-1629
-
-
Sirkiä, S.1
Taskinen, S.2
Oja, H.3
-
27
-
-
19744368600
-
On the breakdown properties of some multivariate M-functionals
-
L. Dümbgen and D. Tyler, On the breakdown properties of some multivariate M-functionals. Scand. J. Statist. 32 (2005), pp. 247-264.
-
(2005)
Scand. J. Statist
, vol.32
, pp. 247-264
-
-
Dümbgen, L.1
Tyler, D.2
-
28
-
-
84883570706
-
Skew-elliptical distributions
-
Genton. ed, Chapman and Hall, New York
-
J. Liu and K.D. Dey, Skew-elliptical distributions, in Skew-Elliptical Distributions and their Applications: A Journey beyond Normality, M. Genton. ed.. Chapman and Hall, New York, 2004, pp. 43-64.
-
(2004)
Skew-Elliptical Distributions and their Applications: A Journey beyond Normality, M
, pp. 43-64
-
-
Liu, J.1
Dey, K.D.2
-
29
-
-
34548140245
-
Scatter matrices and independent component analysis
-
H. Oja, S. Sirkiä, and J. Eriksson, Scatter matrices and independent component analysis, Austrian J. Statist. 35 (2006), pp. 175-189.
-
(2006)
Austrian J. Statist
, vol.35
, pp. 175-189
-
-
Oja, H.1
Sirkiä, S.2
Eriksson, J.3
-
31
-
-
0000489758
-
The commutation matrix: Some properties and applications
-
J.R. Magnus and H. Neudecker, The commutation matrix: some properties and applications, Ann. Statist. 7 pp. 381-394.
-
Ann. Statist
, vol.7
, pp. 381-394
-
-
Magnus, J.R.1
Neudecker, H.2
|