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Tyler, David Edward

Author ID: tyler.david-e Recent zbMATH articles by "Tyler, David Edward"
Published as: Tyler, David E.; Tyler, David; Tyler, D. E.; Tyler, D.; Tyler, David. E.
External Links: MGP · Wikidata · dblp

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 1,102 times in 676 Documents Cited by Year
A distribution-free M-estimator of multivariate scatter. Zbl 0628.62053
Tyler, David E.
169
1987
Asymptotic inference for eigenvectors. Zbl 0474.62051
Tyler, David E.
59
1981
Robustness and efficiency properties of scatter matrices. Zbl 0536.62042
Tyler, David E.
55
1983
Redescending \(M\)-estimates of multivariate location and scatter. Zbl 0763.62030
Kent, John T.; Tyler, David E.
52
1991
Invariant co-ordinate selection (with discussion). Zbl 1250.62032
Tyler, David E.; Critchley, Frank; Dümbgen, Lutz; Oja, Hannu
51
2009
On the uniqueness of \(S\)-functionals and \(M\)-functionals under nonelliptical distributions. Zbl 1105.62347
Tatsuoka, Kay S.; Tyler, David E.
48
2000
Statistical analysis for the angular central Gaussian distribution on the sphere. Zbl 0628.62054
Tyler, David E.
48
1987
Robust functional principal components: a projection-pursuit approach. Zbl 1246.62145
Bali, Juan Lucas; Boente, Graciela; Tyler, David E.; Wang, Jane-Ling
47
2011
Finite sample breakdown points of projection based multivariate location and scatter statistics. Zbl 0815.62015
Tyler, David E.
45
1994
Breakdown and groups. (With discussions and rejoinder). Zbl 1077.62041
Davies, P. Laurie; Gather, Ursula
45
2005
Radial estimates and the test for sphericity. Zbl 0501.62041
Tyler, David E.
44
1982
Constrained \(M\)-estimation for multivariate location and scatter. Zbl 0862.62048
Kent, John T.; Tyler, David E.
40
1996
On Wielandt’s inequality and its application to the asymptotic distribution of the eigenvalues of a random symmetric matrix. Zbl 0742.62015
Eaton, Morris L.; Tyler, David E.
38
1991
A curious likelihood identity for the multivariate T-distribution. Zbl 0825.62035
Kent, John T.; Tyler, David E.; Vardi, Yehuda
37
1994
The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis. Zbl 0805.62020
Eaton, Morris L.; Tyler, David
35
1994
On the breakdown properties of some multivariate \(M\)-functions. Zbl 1089.62056
Dümbgen, Lutz; Tyler, David
28
2005
A cautionary note on robust covariance plug-in methods. Zbl 1452.62416
Nordhausen, Klaus; Tyler, David E.
22
2015
A characterization of elliptical distributions and some optimality properties of principal components for functional data. Zbl 1298.62093
Boente, Graciela; Salibián Barrera, Matías; Tyler, David E.
19
2014
Complex elliptically symmetric distributions: survey, new results and applications. Zbl 1393.94384
Ollila, Esa; Tyler, David E.; Koivunen, Visa; Poor, H. Vincent
16
2012
The influence function and maximum bias of Tukey’s median. Zbl 1015.62058
Chen, Zhiqiang; Tyler, David E.
15
2002
The asymptotic distribution of principal component roots under local alternatives to multiple roots. Zbl 0546.62007
Tyler, David E.
14
1983
Constrained M-estimation for regression. Zbl 0839.62031
Mendes, Beatriz; Tyler, David E.
14
1996
Spectral analysis for categorical time series: Scaling and the spectral envelope. Zbl 0797.62081
Stoffer, David S.; Tyler, David E.; McDougall, Andrew J.
14
1993
The spatial sign covariance matrix with unknown location. Zbl 1292.62079
Dürre, Alexander; Vogel, Daniel; Tyler, David E.
13
2014
Tests and estimates of shape based on spatial signs and ranks. Zbl 1359.62150
Sirkiä, Seija; Taskinen, Sara; Oja, Hannu; Tyler, David E.
12
2009
A note on multivariate location and scatter statistics for sparse data sets. Zbl 1201.62065
Tyler, David E.
12
2010
The spectral envelope and its applications. Zbl 1059.62587
Stoffer, David S.; Tyler, David E.; Wendt, David A.
11
2000
On the eigenvalues of the spatial sign covariance matrix in more than two dimensions. Zbl 1341.62118
Dürre, Alexander; Tyler, David E.; Vogel, Daniel
11
2016
The asymptotic inadmissibility of the spatial sign covariance matrix for elliptically symmetric distributions. Zbl 1335.62028
Magyar, Andrew F.; Tyler, David E.
11
2014
A class of asymptotic tests for principal component vectors. Zbl 0544.62053
Tyler, David E.
11
1983
The asymptotic efficiency of the spatial median for elliptically symmetric distributions. Zbl 1268.62051
Magyar, Andrew; Tyler, David E.
11
2011
On the maximum bias functions of \(MM\)-estimates and constrained \(M\)-estimates of regression. Zbl 1114.62030
Berrendero, José R.; Mendes, Beatriz V. M.; Tyler, David E.
9
2007
Asymptotic and bootstrap tests for subspace dimension. Zbl 1493.62317
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
9
2022
Some results on the existence, uniqueness, and computation of the M- estimates of multivariate location and scatter. Zbl 0648.65098
Tyler, David E.
8
1988
On the behavior of Tukey’s depth and median under symmetric stable distributions. Zbl 1040.62038
Chen, Zhiqiang; Tyler, David E.
7
2004
Regularized \(M\)-estimators of scatter matrix. Zbl 1394.94435
Ollila, Esa; Tyler, David E.
7
2014
High breakdown point multivariate M-estimation. Zbl 1034.62048
Tyler, David E.
6
2002
Robust estimators for nondecomposable elliptical graphical models. Zbl 1306.62121
Vogel, D.; Tyler, D. E.
6
2014
On the optimality of the simultaneous redundancy transformations. Zbl 0543.62047
Tyler, David E.
5
1982
On the finite sample breakdown points of redescending \(M\)-estimates of location. Zbl 1062.62037
Chen, Zhiqiang; Tyler, David E.
5
2004
Regularity and uniqueness for constrained \(M\)-estimates and redescending \(M\)-estimates. Zbl 1029.62029
Kent, John T.; Tyler, David E.
5
2001
On the efficiency of invariant multivariate sign and rank tests. Zbl 1145.62341
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
4
2006
On the computation of symmetrized M-estimators of scatter. Zbl 1356.62067
Miettinen, Jari; Nordhausen, Klaus; Taskinen, Sara; Tyler, David E.
4
2016
Matching sequences: Cross-spectral analysis of categorical time series. Zbl 0904.62106
Stoffer, David S.; Tyler, David E.
3
1998
Optimal transformations and the spectral envelope for real-valued time series. Zbl 1030.62533
McDougall, A. J.; Stoffer, D. S.; Tyler, D. E.
3
1997
Linear pooling of sample covariance matrices. Zbl 1548.62179
Raninen, Elias; Tyler, David E.; Ollila, Esa
3
2022
Magnitudinal effects in the normal multivariate model. Zbl 0617.62033
Guttman, Irwin; Menzefricke, U.; Tyler, David
2
1986
Dissimilarity computation through low rank corrections. Zbl 1055.68050
Comaniciu, Dorin; Meer, Peter; Tyler, David
2
2003
Lassoing eigenvalues. Zbl 1441.62189
Tyler, David E.; Yi, Mengxi
2
2020
Bias robustness of the \(CM\)-estimates of location and scale. Zbl 0917.62027
Mendes, Beatriz Vaz de Melo; Tyler, David E.
1
1998
Local spectral envelope: An approach using dyadic tree-based adaptive segmentation. Zbl 0991.62090
Stoffer, David S.; Ombao, Hernando C.; Tyler, David E.
1
2002
Shrinking the covariance matrix using convex penalties on the matrix-log transformation. Zbl 07499868
Yi, Mengxi; Tyler, David E.
1
2021
Asymptotic and bootstrap tests for subspace dimension. Zbl 1493.62317
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
9
2022
Linear pooling of sample covariance matrices. Zbl 1548.62179
Raninen, Elias; Tyler, David E.; Ollila, Esa
3
2022
Shrinking the covariance matrix using convex penalties on the matrix-log transformation. Zbl 07499868
Yi, Mengxi; Tyler, David E.
1
2021
Lassoing eigenvalues. Zbl 1441.62189
Tyler, David E.; Yi, Mengxi
2
2020
On the eigenvalues of the spatial sign covariance matrix in more than two dimensions. Zbl 1341.62118
Dürre, Alexander; Tyler, David E.; Vogel, Daniel
11
2016
On the computation of symmetrized M-estimators of scatter. Zbl 1356.62067
Miettinen, Jari; Nordhausen, Klaus; Taskinen, Sara; Tyler, David E.
4
2016
A cautionary note on robust covariance plug-in methods. Zbl 1452.62416
Nordhausen, Klaus; Tyler, David E.
22
2015
A characterization of elliptical distributions and some optimality properties of principal components for functional data. Zbl 1298.62093
Boente, Graciela; Salibián Barrera, Matías; Tyler, David E.
19
2014
The spatial sign covariance matrix with unknown location. Zbl 1292.62079
Dürre, Alexander; Vogel, Daniel; Tyler, David E.
13
2014
The asymptotic inadmissibility of the spatial sign covariance matrix for elliptically symmetric distributions. Zbl 1335.62028
Magyar, Andrew F.; Tyler, David E.
11
2014
Regularized \(M\)-estimators of scatter matrix. Zbl 1394.94435
Ollila, Esa; Tyler, David E.
7
2014
Robust estimators for nondecomposable elliptical graphical models. Zbl 1306.62121
Vogel, D.; Tyler, D. E.
6
2014
Complex elliptically symmetric distributions: survey, new results and applications. Zbl 1393.94384
Ollila, Esa; Tyler, David E.; Koivunen, Visa; Poor, H. Vincent
16
2012
Robust functional principal components: a projection-pursuit approach. Zbl 1246.62145
Bali, Juan Lucas; Boente, Graciela; Tyler, David E.; Wang, Jane-Ling
47
2011
The asymptotic efficiency of the spatial median for elliptically symmetric distributions. Zbl 1268.62051
Magyar, Andrew; Tyler, David E.
11
2011
A note on multivariate location and scatter statistics for sparse data sets. Zbl 1201.62065
Tyler, David E.
12
2010
Invariant co-ordinate selection (with discussion). Zbl 1250.62032
Tyler, David E.; Critchley, Frank; Dümbgen, Lutz; Oja, Hannu
51
2009
Tests and estimates of shape based on spatial signs and ranks. Zbl 1359.62150
Sirkiä, Seija; Taskinen, Sara; Oja, Hannu; Tyler, David E.
12
2009
On the maximum bias functions of \(MM\)-estimates and constrained \(M\)-estimates of regression. Zbl 1114.62030
Berrendero, José R.; Mendes, Beatriz V. M.; Tyler, David E.
9
2007
On the efficiency of invariant multivariate sign and rank tests. Zbl 1145.62341
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
4
2006
Breakdown and groups. (With discussions and rejoinder). Zbl 1077.62041
Davies, P. Laurie; Gather, Ursula
45
2005
On the breakdown properties of some multivariate \(M\)-functions. Zbl 1089.62056
Dümbgen, Lutz; Tyler, David
28
2005
On the behavior of Tukey’s depth and median under symmetric stable distributions. Zbl 1040.62038
Chen, Zhiqiang; Tyler, David E.
7
2004
On the finite sample breakdown points of redescending \(M\)-estimates of location. Zbl 1062.62037
Chen, Zhiqiang; Tyler, David E.
5
2004
Dissimilarity computation through low rank corrections. Zbl 1055.68050
Comaniciu, Dorin; Meer, Peter; Tyler, David
2
2003
The influence function and maximum bias of Tukey’s median. Zbl 1015.62058
Chen, Zhiqiang; Tyler, David E.
15
2002
High breakdown point multivariate M-estimation. Zbl 1034.62048
Tyler, David E.
6
2002
Local spectral envelope: An approach using dyadic tree-based adaptive segmentation. Zbl 0991.62090
Stoffer, David S.; Ombao, Hernando C.; Tyler, David E.
1
2002
Regularity and uniqueness for constrained \(M\)-estimates and redescending \(M\)-estimates. Zbl 1029.62029
Kent, John T.; Tyler, David E.
5
2001
On the uniqueness of \(S\)-functionals and \(M\)-functionals under nonelliptical distributions. Zbl 1105.62347
Tatsuoka, Kay S.; Tyler, David E.
48
2000
The spectral envelope and its applications. Zbl 1059.62587
Stoffer, David S.; Tyler, David E.; Wendt, David A.
11
2000
Matching sequences: Cross-spectral analysis of categorical time series. Zbl 0904.62106
Stoffer, David S.; Tyler, David E.
3
1998
Bias robustness of the \(CM\)-estimates of location and scale. Zbl 0917.62027
Mendes, Beatriz Vaz de Melo; Tyler, David E.
1
1998
Optimal transformations and the spectral envelope for real-valued time series. Zbl 1030.62533
McDougall, A. J.; Stoffer, D. S.; Tyler, D. E.
3
1997
Constrained \(M\)-estimation for multivariate location and scatter. Zbl 0862.62048
Kent, John T.; Tyler, David E.
40
1996
Constrained M-estimation for regression. Zbl 0839.62031
Mendes, Beatriz; Tyler, David E.
14
1996
Finite sample breakdown points of projection based multivariate location and scatter statistics. Zbl 0815.62015
Tyler, David E.
45
1994
A curious likelihood identity for the multivariate T-distribution. Zbl 0825.62035
Kent, John T.; Tyler, David E.; Vardi, Yehuda
37
1994
The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis. Zbl 0805.62020
Eaton, Morris L.; Tyler, David
35
1994
Spectral analysis for categorical time series: Scaling and the spectral envelope. Zbl 0797.62081
Stoffer, David S.; Tyler, David E.; McDougall, Andrew J.
14
1993
Redescending \(M\)-estimates of multivariate location and scatter. Zbl 0763.62030
Kent, John T.; Tyler, David E.
52
1991
On Wielandt’s inequality and its application to the asymptotic distribution of the eigenvalues of a random symmetric matrix. Zbl 0742.62015
Eaton, Morris L.; Tyler, David E.
38
1991
Some results on the existence, uniqueness, and computation of the M- estimates of multivariate location and scatter. Zbl 0648.65098
Tyler, David E.
8
1988
A distribution-free M-estimator of multivariate scatter. Zbl 0628.62053
Tyler, David E.
169
1987
Statistical analysis for the angular central Gaussian distribution on the sphere. Zbl 0628.62054
Tyler, David E.
48
1987
Magnitudinal effects in the normal multivariate model. Zbl 0617.62033
Guttman, Irwin; Menzefricke, U.; Tyler, David
2
1986
Robustness and efficiency properties of scatter matrices. Zbl 0536.62042
Tyler, David E.
55
1983
The asymptotic distribution of principal component roots under local alternatives to multiple roots. Zbl 0546.62007
Tyler, David E.
14
1983
A class of asymptotic tests for principal component vectors. Zbl 0544.62053
Tyler, David E.
11
1983
Radial estimates and the test for sphericity. Zbl 0501.62041
Tyler, David E.
44
1982
On the optimality of the simultaneous redundancy transformations. Zbl 0543.62047
Tyler, David E.
5
1982
Asymptotic inference for eigenvectors. Zbl 0474.62051
Tyler, David E.
59
1981
all top 5

Cited by 934 Authors

33 Oja, Hannu
30 Paindaveine, Davy
26 Nordhausen, Klaus
23 Tyler, David Edward
17 Boente, Graciela
17 Zuo, Yijun
16 Taskinen, Sara
14 Hallin, Marc
14 Van Aelst, Stefan
13 Yohai, Víctor Jaime
12 Verdebout, Thomas
11 Ruiz-Gazen, Anne
10 Schott, James R.
9 Bentler, Peter M.
9 Cook, Ralph Dennis
9 Dümbgen, Lutz
8 Kent, John T.
8 Serfling, Robert J.
7 Bilodeau, Martin
7 Croux, Christophe
7 Dürre, Alexander
7 Frahm, Gabriel
7 Li, Bing
7 Loperfido, Nicola M. R.
7 Maronna, Ricardo Antonio
7 Saracco, Jérôme
7 Yuan, Kehai
6 Vogel, Daniel
6 Zamar, Ruben H.
5 Arslan, Olcay
5 Couillet, Romain
5 Liu, Xiaohui
5 Nevalainen, Jaakko
5 Rousseeuw, Peter J.
5 Rublík, František
5 Salibian-Barrera, Matias
5 Virta, Joni
4 Adrover, Jorge G.
4 Bali, Juan Lucas
4 Bianco, Ana M.
4 Billor, Nedret
4 Cui, Hengjian
4 Dang, Xin
4 He, Xuming
4 Huang, Suyun
4 Hubert, Mia
4 Ilmonen, Pauliina
4 Lange, Kenneth L.
4 Larocque, Denis
4 Ley, Christophe
4 Minsker, Stanislav
4 Nagy, Stanislav
4 Nkiet, Guy Martial
4 Rocke, David M.
4 Rodrigues, Isabel M.
4 Schneider, Matti
4 Sirkiä, Seija
4 Steidl, Gabriele
4 Stoffer, David S.
4 Willems, Gert
3 Berkane, Maia
3 Cao, GuanQun
3 Chiaromonte, Francesca
3 Dauxois, Jacques
3 Duchesne, Pierre
3 El Karoui, Noureddine
3 Filzmoser, Peter
3 Fried, Roland
3 Gather, Ursula
3 Genton, Marc G.
3 Hosseini, Reshad
3 Kankainen, Annaliisa
3 Kudraszow, Nadia L.
3 Matilainen, Markus
3 Mazumder, Satyaki
3 Miettinen, Jari
3 Nadler, Boaz
3 Osorio, Felipe
3 Park, Yeonjoo
3 Pascal, Frédéric P.
3 Pires, Ana M.
3 Radojičić, Una
3 Randles, Ronald Herman
3 Šiman, Miroslav
3 Sra, Suvrit
3 Stahel, Werner A.
3 Vakili, Kaveh
3 Van Bever, Germain
3 Verdonck, Tim
3 Yi, Mengxi
3 Yin, Xiangrong
3 Zhou, Hua
3 Zhou, Weihua
2 Abebe, Asheber
2 Aerts, Stephanie
2 Agostinelli, Claudio
2 Amemiya, Yasuo
2 Aneiros-Pérez, Germán
2 Archimbaud, Aurore
2 Arcones, Miguel A.
...and 834 more Authors
all top 5

Cited in 114 Serials

104 Journal of Multivariate Analysis
55 The Annals of Statistics
48 Computational Statistics and Data Analysis
40 Statistics & Probability Letters
30 Journal of Statistical Planning and Inference
20 Communications in Statistics. Theory and Methods
16 Test
13 Journal of the American Statistical Association
13 Communications in Statistics. Simulation and Computation
13 Statistical Papers
12 Annals of the Institute of Statistical Mathematics
12 Statistical Science
12 Bernoulli
12 Electronic Journal of Statistics
12 Statistics and Computing
11 Journal of Econometrics
10 The Canadian Journal of Statistics
9 Scandinavian Journal of Statistics
9 Journal of Nonparametric Statistics
8 Journal of Statistical Computation and Simulation
7 Psychometrika
6 Statistics
6 Computational Statistics
6 Statistica Sinica
6 Journal of Applied Statistics
5 Journal of Time Series Analysis
5 Advances in Data Analysis and Classification. ADAC
4 Journal of Computational and Applied Mathematics
4 Linear Algebra and its Applications
4 Econometric Theory
4 Journal of Machine Learning Research (JMLR)
4 Statistical Methods and Applications
4 AStA. Advances in Statistical Analysis
4 Journal of Computational and Graphical Statistics
3 Metrika
3 Biometrics
3 Information Sciences
3 International Statistical Review
3 Circuits, Systems, and Signal Processing
3 Acta Mathematicae Applicatae Sinica. English Series
3 Probability Theory and Related Fields
3 Computational Mechanics
3 Science in China. Series A
3 Applied and Computational Harmonic Analysis
3 Journal of the Korean Statistical Society
3 Statistical Analysis and Data Mining
3 The Annals of Applied Statistics
3 SIAM Journal on Imaging Sciences
3 Sankhyā. Series B
3 Wiley Interdisciplinary Reviews. WIREs Computational Statistics
2 Neural Networks
2 Journal of Mathematical Imaging and Vision
2 Mathematical Methods of Statistics
2 Australian & New Zealand Journal of Statistics
2 Acta Mathematica Sinica. English Series
2 Quantitative Finance
2 Entropy
2 North American Actuarial Journal
2 Statistics Surveys
2 Journal of Probability and Statistics
2 Stat
1 Advances in Applied Probability
1 Computer Methods in Applied Mechanics and Engineering
1 Inverse Problems
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Reports
1 Biometrical Journal
1 International Journal for Numerical Methods in Engineering
1 Kybernetika
1 Mathematica Slovaca
1 Metron
1 Naval Research Logistics
1 Statistica
1 Technometrics
1 Insurance Mathematics & Economics
1 American Journal of Mathematical and Management Sciences
1 Mathematical and Computer Modelling
1 Multidimensional Systems and Signal Processing
1 Neural Computation
1 Economics Letters
1 The Annals of Applied Probability
1 Applications of Mathematics
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Pattern Recognition
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 SIAM Journal on Optimization
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Soft Computing
1 The Econometrics Journal
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 European Journal of Mechanics. B. Fluids
1 Lobachevskii Journal of Mathematics
1 Brazilian Journal of Probability and Statistics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Journal of Forecasting
...and 14 more Serials

Citations by Year

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