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

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 945 times in 623 Documents Cited by Year
A distribution-free M-estimator of multivariate scatter. Zbl 0628.62053
Tyler, David E.
156
1987
Asymptotic inference for eigenvectors. Zbl 0474.62051
Tyler, David E.
55
1981
Robustness and efficiency properties of scatter matrices. Zbl 0536.62042
Tyler, David E.
50
1983
Redescending \(M\)-estimates of multivariate location and scatter. Zbl 0763.62030
Kent, John T.; Tyler, David E.
48
1991
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
44
2005
On the uniqueness of \(S\)-functionals and \(M\)-functionals under nonelliptical distributions. Zbl 1105.62347
Tatsuoka, Kay S.; Tyler, David E.
44
2000
Statistical analysis for the angular central Gaussian distribution on the sphere. Zbl 0628.62054
Tyler, David E.
42
1987
Robust functional principal components: a projection-pursuit approach. Zbl 1246.62145
Bali, Juan Lucas; Boente, Graciela; Tyler, David E.; Wang, Jane-Ling
42
2011
Invariant co-ordinate selection (with discussion). Zbl 1250.62032
Tyler, David E.; Critchley, Frank; Dümbgen, Lutz; Oja, Hannu
42
2009
Radial estimates and the test for sphericity. Zbl 0501.62041
Tyler, David E.
38
1982
Constrained \(M\)-estimation for multivariate location and scatter. Zbl 0862.62048
Kent, John T.; Tyler, David E.
36
1996
A curious likelihood identity for the multivariate T-distribution. Zbl 0825.62035
Kent, John T.; Tyler, David E.; Vardi, Yehuda
35
1994
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.
34
1991
The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis. Zbl 0805.62020
Eaton, Morris L.; Tyler, David
33
1994
On the breakdown properties of some multivariate \(M\)-functions. Zbl 1089.62056
Dümbgen, Lutz; Tyler, David
24
2005
A cautionary note on robust covariance plug-in methods. Zbl 1452.62416
Nordhausen, Klaus; Tyler, David E.
15
2015
The influence function and maximum bias of Tukey’s median. Zbl 1015.62058
Chen, Zhiqiang; Tyler, David E.
14
2002
Constrained M-estimation for regression. Zbl 0839.62031
Mendes, Beatriz; Tyler, David E.
13
1996
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.
13
2014
Complex elliptically symmetric distributions: survey, new results and applications. Zbl 1393.94384
Ollila, Esa; Tyler, David E.; Koivunen, Visa; Poor, H. Vincent
13
2012
Spectral analysis for categorical time series: Scaling and the spectral envelope. Zbl 0797.62081
Stoffer, David S.; Tyler, David E.; McDougall, Andrew J.
12
1993
The asymptotic distribution of principal component roots under local alternatives to multiple roots. Zbl 0546.62007
Tyler, David E.
11
1983
The spatial sign covariance matrix with unknown location. Zbl 1292.62079
Dürre, Alexander; Vogel, Daniel; Tyler, David E.
11
2014
A class of asymptotic tests for principal component vectors. Zbl 0544.62053
Tyler, David E.
9
1983
The spectral envelope and its applications. Zbl 1059.62587
Stoffer, David S.; Tyler, David E.; Wendt, David A.
9
2000
Tests and estimates of shape based on spatial signs and ranks. Zbl 1359.62150
Sirkiä, Seija; Taskinen, Sara; Oja, Hannu; Tyler, David E.
9
2009
The asymptotic efficiency of the spatial median for elliptically symmetric distributions. Zbl 1268.62051
Magyar, Andrew; Tyler, David E.
9
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.
8
2007
The asymptotic inadmissibility of the spatial sign covariance matrix for elliptically symmetric distributions. Zbl 1335.62028
Magyar, Andrew F.; Tyler, David E.
8
2014
A note on multivariate location and scatter statistics for sparse data sets. Zbl 1201.62065
Tyler, David E.
8
2010
Some results on the existence, uniqueness, and computation of the M- estimates of multivariate location and scatter. Zbl 0648.65098
Tyler, David E.
7
1988
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 eigenvalues of the spatial sign covariance matrix in more than two dimensions. Zbl 1341.62118
Dürre, Alexander; Tyler, David E.; Vogel, Daniel
7
2016
High breakdown point multivariate M-estimation. Zbl 1034.62048
Tyler, David E.
5
2002
On the optimality of the simultaneous redundancy transformations. Zbl 0543.62047
Tyler, David E.
4
1982
On the finite sample breakdown points of redescending \(M\)-estimates of location. Zbl 1062.62037
Chen, Zhiqiang; Tyler, David E.
4
2004
Robust estimators for nondecomposable elliptical graphical models. Zbl 1306.62121
Vogel, D.; Tyler, D. E.
4
2014
Regularity and uniqueness for constrained \(M\)-estimates and redescending \(M\)-estimates. Zbl 1029.62029
Kent, John T.; Tyler, David E.
4
2001
Asymptotic and bootstrap tests for subspace dimension. Zbl 1493.62317
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
4
2022
Regularized \(M\)-estimators of scatter matrix. Zbl 1394.94435
Ollila, Esa; Tyler, David E.
4
2014
On the efficiency of invariant multivariate sign and rank tests. Zbl 1145.62341
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
2
2006
Matching sequences: Cross-spectral analysis of categorical time series. Zbl 0904.62106
Stoffer, David S.; Tyler, David E.
2
1998
On the computation of symmetrized M-estimators of scatter. Zbl 1356.62067
Miettinen, Jari; Nordhausen, Klaus; Taskinen, Sara; Tyler, David E.
2
2016
Magnitudinal effects in the normal multivariate model. Zbl 0617.62033
Guttman, Irwin; Menzefricke, U.; Tyler, David
1
1986
Optimal transformations and the spectral envelope for real-valued time series. Zbl 1030.62533
McDougall, A. J.; Stoffer, D. S.; Tyler, D. E.
1
1997
Lassoing eigenvalues. Zbl 1441.62189
Tyler, David E.; Yi, Mengxi
1
2020
Asymptotic and bootstrap tests for subspace dimension. Zbl 1493.62317
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
4
2022
Lassoing eigenvalues. Zbl 1441.62189
Tyler, David E.; Yi, Mengxi
1
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
7
2016
On the computation of symmetrized M-estimators of scatter. Zbl 1356.62067
Miettinen, Jari; Nordhausen, Klaus; Taskinen, Sara; Tyler, David E.
2
2016
A cautionary note on robust covariance plug-in methods. Zbl 1452.62416
Nordhausen, Klaus; Tyler, David E.
15
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.
13
2014
The spatial sign covariance matrix with unknown location. Zbl 1292.62079
Dürre, Alexander; Vogel, Daniel; Tyler, David E.
11
2014
The asymptotic inadmissibility of the spatial sign covariance matrix for elliptically symmetric distributions. Zbl 1335.62028
Magyar, Andrew F.; Tyler, David E.
8
2014
Robust estimators for nondecomposable elliptical graphical models. Zbl 1306.62121
Vogel, D.; Tyler, D. E.
4
2014
Regularized \(M\)-estimators of scatter matrix. Zbl 1394.94435
Ollila, Esa; Tyler, David E.
4
2014
Complex elliptically symmetric distributions: survey, new results and applications. Zbl 1393.94384
Ollila, Esa; Tyler, David E.; Koivunen, Visa; Poor, H. Vincent
13
2012
Robust functional principal components: a projection-pursuit approach. Zbl 1246.62145
Bali, Juan Lucas; Boente, Graciela; Tyler, David E.; Wang, Jane-Ling
42
2011
The asymptotic efficiency of the spatial median for elliptically symmetric distributions. Zbl 1268.62051
Magyar, Andrew; Tyler, David E.
9
2011
A note on multivariate location and scatter statistics for sparse data sets. Zbl 1201.62065
Tyler, David E.
8
2010
Invariant co-ordinate selection (with discussion). Zbl 1250.62032
Tyler, David E.; Critchley, Frank; Dümbgen, Lutz; Oja, Hannu
42
2009
Tests and estimates of shape based on spatial signs and ranks. Zbl 1359.62150
Sirkiä, Seija; Taskinen, Sara; Oja, Hannu; Tyler, David E.
9
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.
8
2007
On the efficiency of invariant multivariate sign and rank tests. Zbl 1145.62341
Nordhausen, Klaus; Oja, Hannu; Tyler, David E.
2
2006
Breakdown and groups. (With discussions and rejoinder). Zbl 1077.62041
Davies, P. Laurie; Gather, Ursula
44
2005
On the breakdown properties of some multivariate \(M\)-functions. Zbl 1089.62056
Dümbgen, Lutz; Tyler, David
24
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.
4
2004
The influence function and maximum bias of Tukey’s median. Zbl 1015.62058
Chen, Zhiqiang; Tyler, David E.
14
2002
High breakdown point multivariate M-estimation. Zbl 1034.62048
Tyler, David E.
5
2002
Regularity and uniqueness for constrained \(M\)-estimates and redescending \(M\)-estimates. Zbl 1029.62029
Kent, John T.; Tyler, David E.
4
2001
On the uniqueness of \(S\)-functionals and \(M\)-functionals under nonelliptical distributions. Zbl 1105.62347
Tatsuoka, Kay S.; Tyler, David E.
44
2000
The spectral envelope and its applications. Zbl 1059.62587
Stoffer, David S.; Tyler, David E.; Wendt, David A.
9
2000
Matching sequences: Cross-spectral analysis of categorical time series. Zbl 0904.62106
Stoffer, David S.; Tyler, David E.
2
1998
Optimal transformations and the spectral envelope for real-valued time series. Zbl 1030.62533
McDougall, A. J.; Stoffer, D. S.; Tyler, D. E.
1
1997
Constrained \(M\)-estimation for multivariate location and scatter. Zbl 0862.62048
Kent, John T.; Tyler, David E.
36
1996
Constrained M-estimation for regression. Zbl 0839.62031
Mendes, Beatriz; Tyler, David E.
13
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
35
1994
The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis. Zbl 0805.62020
Eaton, Morris L.; Tyler, David
33
1994
Spectral analysis for categorical time series: Scaling and the spectral envelope. Zbl 0797.62081
Stoffer, David S.; Tyler, David E.; McDougall, Andrew J.
12
1993
Redescending \(M\)-estimates of multivariate location and scatter. Zbl 0763.62030
Kent, John T.; Tyler, David E.
48
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.
34
1991
Some results on the existence, uniqueness, and computation of the M- estimates of multivariate location and scatter. Zbl 0648.65098
Tyler, David E.
7
1988
A distribution-free M-estimator of multivariate scatter. Zbl 0628.62053
Tyler, David E.
156
1987
Statistical analysis for the angular central Gaussian distribution on the sphere. Zbl 0628.62054
Tyler, David E.
42
1987
Magnitudinal effects in the normal multivariate model. Zbl 0617.62033
Guttman, Irwin; Menzefricke, U.; Tyler, David
1
1986
Robustness and efficiency properties of scatter matrices. Zbl 0536.62042
Tyler, David E.
50
1983
The asymptotic distribution of principal component roots under local alternatives to multiple roots. Zbl 0546.62007
Tyler, David E.
11
1983
A class of asymptotic tests for principal component vectors. Zbl 0544.62053
Tyler, David E.
9
1983
Radial estimates and the test for sphericity. Zbl 0501.62041
Tyler, David E.
38
1982
On the optimality of the simultaneous redundancy transformations. Zbl 0543.62047
Tyler, David E.
4
1982
Asymptotic inference for eigenvectors. Zbl 0474.62051
Tyler, David E.
55
1981
all top 5

Cited by 840 Authors

31 Oja, Hannu
29 Paindaveine, Davy
23 Tyler, David E.
20 Nordhausen, Klaus
17 Zuo, Yijun
15 Boente, Graciela
15 Taskinen, Sara
14 Hallin, Marc
13 Van Aelst, Stefan
13 Yohai, Víctor Jaime
10 Schott, James R.
10 Verdebout, Thomas
9 Bentler, Peter M.
9 Cook, Ralph Dennis
9 Ruiz-Gazen, Anne
8 Dümbgen, Lutz
8 Serfling, Robert J.
7 Bilodeau, Martin
7 Croux, Christophe
7 Kent, John T.
7 Li, Bing
7 Loperfido, Nicola M. R.
7 Maronna, Ricardo Antonio
7 Saracco, Jérôme
7 Yuan, Kehai
6 Dürre, Alexander
6 Zamar, Ruben H.
5 Arslan, Olcay
5 Couillet, Romain
5 Frahm, Gabriel
5 Liu, Xiaohui
5 Nevalainen, Jaakko
5 Rublík, František
5 Salibian-Barrera, Matias
5 Vogel, Daniel
4 Adrover, Jorge G.
4 Bali, Juan Lucas
4 Billor, Nedret
4 Cui, Hengjian
4 Dang, Xin
4 He, Xuming
4 Ilmonen, Pauliina
4 Lange, Kenneth L.
4 Larocque, Denis
4 Ley, Christophe
4 Nagy, Stanislav
4 Nkiet, Guy Martial
4 Rocke, David M.
4 Rodrigues, Isabel M.
4 Rousseeuw, Peter J.
4 Schneider, Matti
4 Sirkiä, Seija
4 Willems, Gert
3 Berkane, Maia
3 Bianco, Ana M.
3 Cao, GuanQun
3 Chiaromonte, Francesca
3 Dauxois, Jacques
3 Duchesne, Pierre
3 El Karoui, Noureddine
3 Filzmoser, Peter
3 Gather, Ursula
3 Genton, Marc G.
3 Hosseini, Reshad
3 Huang, Suyun
3 Hubert, Mia
3 Kankainen, Annaliisa
3 Kudraszow, Nadia L.
3 Matilainen, Markus
3 Mazumder, Satyaki
3 Miettinen, Jari
3 Minsker, Stanislav
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 Steidl, Gabriele
3 Stoffer, David S.
3 Vakili, Kaveh
3 Van Bever, Germain
3 Yin, Xiangrong
3 Zhou, Hua
3 Zhou, Weihua
2 Abebe, Asheber
2 Agostinelli, Claudio
2 Amemiya, Yasuo
2 Aneiros-Pérez, Germán
2 Archimbaud, Aurore
2 Arcones, Miguel A.
2 Arellano-Valle, Reinaldo Boris
2 Bai, Zhi-Dong
2 Banerjee, Abhirup
2 Becker, Claudia
2 Berro, Alain
...and 740 more Authors
all top 5

Cited in 109 Serials

103 Journal of Multivariate Analysis
55 The Annals of Statistics
46 Computational Statistics and Data Analysis
40 Statistics & Probability Letters
30 Journal of Statistical Planning and Inference
19 Communications in Statistics. Theory and Methods
16 Test
13 Communications in Statistics. Simulation and Computation
12 Annals of the Institute of Statistical Mathematics
12 Statistical Science
12 Bernoulli
11 Journal of the American Statistical Association
11 Journal of Econometrics
11 Electronic Journal of Statistics
10 Statistical Papers
9 Journal of Nonparametric Statistics
8 The Canadian Journal of Statistics
8 Journal of Statistical Computation and Simulation
8 Statistics and Computing
7 Psychometrika
7 Scandinavian Journal of Statistics
6 Computational Statistics
6 Journal of Applied Statistics
5 Journal of Time Series Analysis
5 Statistics
5 Advances in Data Analysis and Classification. ADAC
4 Journal of Computational and Applied Mathematics
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 International Statistical Review
3 Circuits, Systems, and Signal Processing
3 Acta Mathematicae Applicatae Sinica. English Series
3 Probability Theory and Related Fields
3 Science in China. Series A
3 Linear Algebra and its Applications
3 Applied and Computational Harmonic Analysis
3 Journal of the Korean Statistical Society
3 Sankhyā. Series B
2 Biometrics
2 Information Sciences
2 Computational Mechanics
2 Neural Networks
2 Journal of Mathematical Imaging and Vision
2 Mathematical Methods of Statistics
2 Statistica Sinica
2 Australian & New Zealand Journal of Statistics
2 Acta Mathematica Sinica. English Series
2 Quantitative Finance
2 Entropy
2 North American Actuarial Journal
2 The Annals of Applied Statistics
2 SIAM Journal on Imaging Sciences
2 Statistics Surveys
2 Journal of Probability and Statistics
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 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 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
1 Statistical Methodology
1 Journal of Mathematical Inequalities
1 Statistical Analysis and Data Mining
1 Journal of Statistical Theory and Practice
1 Mathematical Geosciences
...and 9 more Serials

Citations by Year