-
1
-
-
85006320940
-
Nonparametric regression estimation based on spatially inhomogeneous data:Minimax global convergence rates and adaptivity
-
Antoniadis, A., Pensky, M. and Sapatinas, T. (2014). Nonparametric regression estimation based on spatially inhomogeneous data:Minimax global convergence rates and adaptivity. ESAIM Probab. Stat. 18 1-41
-
(2014)
ESAIM Probab. Stat.
, vol.18
, pp. 1-41
-
-
Antoniadis, A.1
Pensky, M.2
Sapatinas, T.3
-
2
-
-
22544452101
-
Convergence of the optimal M-estimator over a parametric family of Mestimators
-
MR2203433
-
Arcones, M.A. (2005). Convergence of the optimal M-estimator over a parametric family of Mestimators. Test 14 281-315. MR2203433
-
(2005)
Test
, vol.14
, pp. 281-315
-
-
Arcones, M.A.1
-
4
-
-
0030327799
-
A constrained risk inequality with applications to nonparametric functional estimation
-
MR1425965
-
Brown, L.D. and Low, M.G. (1996). A constrained risk inequality with applications to nonparametric functional estimation. Ann. Statist. 24 2524-2535. MR1425965
-
(1996)
Ann. Statist.
, vol.24
, pp. 2524-2535
-
-
Brown, L.D.1
Low, M.G.2
-
5
-
-
70049114041
-
Asymptotic equivalence and adaptive estimation for robust nonparametric regression
-
MR2549558
-
Cai, T.T. and Zhou, H.H. (2009). Asymptotic equivalence and adaptive estimation for robust nonparametric regression. Ann. Statist. 37 3204-3235. MR2549558
-
(2009)
Ann. Statist.
, vol.37
, pp. 3204-3235
-
-
Cai, T.T.1
Zhou, H.H.2
-
6
-
-
84864385532
-
Minimax and minimax adaptive estimation in multiplicative regression: Locally Bayesian approach
-
MR2948686
-
Chichignoud, M. (2012). Minimax and minimax adaptive estimation in multiplicative regression: Locally Bayesian approach. Probab. Theory Related Fields 153 543-586. MR2948686
-
(2012)
Probab. Theory Related Fields
, vol.153
, pp. 543-586
-
-
Chichignoud, M.1
-
7
-
-
33947625601
-
Convergence rates for pointwise curve estimation with a degenerate design
-
MR2158069
-
Gaïffas, S. (2005). Convergence rates for pointwise curve estimation with a degenerate design. Math. Methods Statist. 14 1-27. MR2158069
-
(2005)
Math. Methods Statist.
, vol.14
, pp. 1-27
-
-
Gaïffas, S.1
-
8
-
-
84996140291
-
On pointwise adaptive curve estimation based on inhomogeneous data
-
(electronic). MR2339297
-
Gaïffas, S. (2007). On pointwise adaptive curve estimation based on inhomogeneous data. ESAIM Probab. Stat. 11 344-364 (electronic). MR2339297
-
(2007)
ESAIM Probab. Stat.
, vol.11
, pp. 344-364
-
-
Gaïffas, S.1
-
9
-
-
33947641027
-
Sharp estimation in sup norm with random design
-
MR2369683
-
Gaïffas, S. (2007). Sharp estimation in sup norm with random design. Statist. Probab. Lett. 77 782- 794. MR2369683
-
(2007)
Statist. Probab. Lett.
, vol.77
, pp. 782-794
-
-
Gaïffas, S.1
-
10
-
-
77649285528
-
Confidence bands in density estimation
-
MR2604707
-
Giné, E. and Nickl, R. (2010). Confidence bands in density estimation. Ann. Statist. 38 1122-1170. MR2604707
-
(2010)
Ann. Statist.
, vol.38
, pp. 1122-1170
-
-
Giné, E.1
Nickl, R.2
-
11
-
-
58149352562
-
Universal pointwise selection rule in multivariate function estimation
-
MR2543590
-
Goldenshluger, A. and Lepski, O. (2008). Universal pointwise selection rule in multivariate function estimation. Bernoulli 14 1150-1190. MR2543590
-
(2008)
Bernoulli
, vol.14
, pp. 1150-1190
-
-
Goldenshluger, A.1
Lepski, O.2
-
12
-
-
0000527969
-
On spatially adaptive estimation of nonparametric regression
-
MR1466625
-
Goldenshluger, A. and Nemirovski, A. (1997). On spatially adaptive estimation of nonparametric regression. Math. Methods Statist. 6 135-170. MR1466625
-
(1997)
Math. Methods Statist.
, vol.6
, pp. 135-170
-
-
Goldenshluger, A.1
Nemirovski, A.2
-
13
-
-
82655173710
-
On adaptive inference and confidence bands
-
MR2906872
-
Hoffmann, M. and Nickl, R. (2011). On adaptive inference and confidence bands. Ann. Statist. 39 2383-2409. MR2906872
-
(2011)
Ann. Statist.
, vol.39
, pp. 2383-2409
-
-
Hoffmann, M.1
Nickl, R.2
-
14
-
-
0003157339
-
Robust estimation of a location parameter
-
MR0161415
-
Huber, P.J. (1964). Robust estimation of a location parameter. Ann. Math. Statist. 35 73-101. MR0161415
-
(1964)
Ann. Math. Statist.
, vol.35
, pp. 73-101
-
-
Huber, P.J.1
-
16
-
-
84947791529
-
-
2nd ed., Wiley Series in Probability and Statistics. Hoboken, NJ: Wiley. MR2488795
-
Huber, P.J. and Ronchetti, E.M. (2009). Robust Statistics, 2nd ed. Wiley Series in Probability and Statistics. Hoboken, NJ: Wiley. MR2488795
-
(2009)
Robust Statistics
-
-
Huber, P.J.1
Ronchetti, E.M.2
-
17
-
-
72949109075
-
From local kernel to nonlocal multiplemodel image denoising
-
MR2683762
-
Katkovnik, V., Foi, A., Egiazarian, K. and Astola, J. (2010). From local kernel to nonlocal multiplemodel image denoising. Int. J. Comput. Vis. 86 1-32. MR2683762
-
(2010)
Int. J. Comput. Vis.
, vol.86
, pp. 1-32
-
-
Katkovnik, V.1
Foi, A.2
Egiazarian, K.3
Astola, J.4
-
19
-
-
0035643281
-
Nonlinear estimation in anisotropic multi-index denoising
-
MR1863916
-
Kerkyacharian, G., Lepski, O. and Picard, D. (2001). Nonlinear estimation in anisotropic multi-index denoising. Probab. Theory Related Fields 121 137-170. MR1863916
-
(2001)
Probab. Theory Related Fields
, vol.121
, pp. 137-170
-
-
Kerkyacharian, G.1
Lepski, O.2
Picard, D.3
-
21
-
-
84859863552
-
Robust regression through the Huber's criterion and adaptive lasso penalty
-
MR2836768
-
Lambert-Lacroix, S. and Zwald, L. (2011). Robust regression through the Huber's criterion and adaptive lasso penalty. Electron. J. Stat. 5 1015-1053. MR2836768
-
(2011)
Electron. J. Stat.
, vol.5
, pp. 1015-1053
-
-
Lambert-Lacroix, S.1
Zwald, L.2
-
22
-
-
0007189559
-
Adaptive nonparametric estimation of smooth multivariate functions
-
MR1735470
-
Lepski, O.V. and Levit, B.Y. (1999). Adaptive nonparametric estimation of smooth multivariate functions. Math. Methods Statist. 8 344-370. MR1735470
-
(1999)
Math. Methods Statist.
, vol.8
, pp. 344-370
-
-
Lepski, O.V.1
Levit, B.Y.2
-
23
-
-
0031504935
-
Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors
-
MR1447734
-
Lepski, O.V., Mammen, E. and Spokoiny, V.G. (1997). Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors. Ann. Statist. 25 929-947. MR1447734
-
(1997)
Ann. Statist.
, vol.25
, pp. 929-947
-
-
Lepski, O.V.1
Mammen, E.2
Spokoiny, V.G.3
-
24
-
-
0000012624
-
A problem of adaptive estimation in Gaussian white noise
-
MR1091202
-
Lepskiǐ, O.V. (1990). A problem of adaptive estimation in Gaussian white noise. Teor. Veroyatn. Primen. 35 459-470. MR1091202
-
(1990)
Teor. Veroyatn. Primen.
, vol.35
, pp. 459-470
-
-
Lepskiǐ, O.V.1
-
25
-
-
84903990815
-
-
Berlin: Springer. Lectures from the 33rd Summer School on Probability Theory held in Saint-Flour, July 6-23, 2003, with a foreword by Jean Picard. MR2319879
-
Massart, P. (2007). Concentration Inequalities and Model Selection. Lecture Notes in Math. 1896. Berlin: Springer. Lectures from the 33rd Summer School on Probability Theory held in Saint-Flour, July 6-23, 2003, with a foreword by Jean Picard. MR2319879
-
(2007)
Concentration Inequalities and Model Selection. Lecture Notes in Math.
, vol.1896
-
-
Massart, P.1
-
26
-
-
33646008274
-
Propagation-separation approach for local likelihood estimation
-
MR2240690
-
Polzehl, J. and Spokoiny, V. (2006). Propagation-separation approach for local likelihood estimation. Probab. Theory Related Fields 135 335-362. MR2240690
-
(2006)
Probab. Theory Related Fields
, vol.135
, pp. 335-362
-
-
Polzehl, J.1
Spokoiny, V.2
-
28
-
-
69049115182
-
Parameter tuning in pointwise adaptation using a propagation approach
-
MR2541447
-
Spokoiny, V. and Vial, C. (2009). Parameter tuning in pointwise adaptation using a propagation approach. Ann. Statist. 37 2783-2807. MR2541447
-
(2009)
Ann. Statist.
, vol.37
, pp. 2783-2807
-
-
Spokoiny, V.1
Vial, C.2
-
29
-
-
0001515152
-
Adaptive maximum likelihood estimators of a location parameter
-
MR0362669
-
Stone, C.J. (1975). Adaptive maximum likelihood estimators of a location parameter. Ann. Statist. 3 267-284. MR0362669
-
(1975)
Ann. Statist.
, vol.3
, pp. 267-284
-
-
Stone, C.J.1
-
30
-
-
84904025710
-
Nonparametric signal estimation when there is incomplete information on the noise distribution
-
MR0689339
-
Tsybakov, A.B. (1982). Nonparametric signal estimation when there is incomplete information on the noise distribution. Probl. Inf. Transm. 18 44-60. MR0689339
-
(1982)
Probl. Inf. Transm.
, vol.18
, pp. 44-60
-
-
Tsybakov, A.B.1
-
31
-
-
84903998327
-
Robust estimates of a function
-
MR0711899
-
Tsybakov, A.B. (1982). Robust estimates of a function. Problemy Peredachi Informatsii 18 39-52. MR0711899
-
(1982)
Problemy Peredachi Informatsii
, vol.18
, pp. 39-52
-
-
Tsybakov, A.B.1
-
32
-
-
84903942837
-
Convergence of nonparametric robust algorithms of reconstruction of functions
-
MR0749816
-
Tsybakov, A.B. (1983). Convergence of nonparametric robust algorithms of reconstruction of functions. Avtomat. i Telemekh. 12 66-76. MR0749816
-
(1983)
Avtomat. i Telemekh.
, vol.12
, pp. 66-76
-
-
Tsybakov, A.B.1
-
33
-
-
33744716952
-
Robust reconstruction of functions by a local approximation method
-
MR0855002
-
Tsybakov, A.B. (1986). Robust reconstruction of functions by a local approximation method. Problemy Peredachi Informatsii 22 69-84. MR0855002
-
(1986)
Problemy Peredachi Informatsii
, vol.22
, pp. 69-84
-
-
Tsybakov, A.B.1
-
35
-
-
84884203883
-
The Bernstein-Orlicz norm and deviation inequalities
-
van de Geer, S. and Lederer, J. (2013). The Bernstein-Orlicz norm and deviation inequalities. Probab. Theory Related Fields 157 225-250
-
(2013)
Probab. Theory Related Fields
, vol.157
, pp. 225-250
-
-
Van De Geer, S.1
Lederer, J.2
|