-
1
-
-
0000501656
-
Information theory and an extension of the maximum likelihood principle
-
Petrov P.N. and Csaki F. eds. Budapest
-
Akaike, H.: Information theory and an extension of the maximum likelihood principle, Proc. 2nd Intern. Symp. Inf. Theory, Petrov P.N. and Csaki F. eds. Budapest, 267-281 (1973)
-
(1973)
Proc. 2nd Intern. Symp. Inf. Theory
, pp. 267-281
-
-
Akaike, H.1
-
2
-
-
0013263974
-
On the construction of regularizing algorithms under random noise
-
Bakushinskii, A.B.: On the construction of regularizing algorithms under random noise, Soviet Math. Doklady., 189, 231-233 (1969)
-
(1969)
Soviet Math. Doklady.
, vol.189
, pp. 231-233
-
-
Bakushinskii, A.B.1
-
3
-
-
0000253324
-
On minimax filtering on ellipsoids
-
Belitser, E.N., Levit, B.Ya.: On minimax filtering on ellipsoids, Math. Meth. Statist., 4, 259-273 (1995)
-
(1995)
Math. Meth. Statist.
, vol.4
, pp. 259-273
-
-
Belitser, E.N.1
Levit, B.Ya.2
-
4
-
-
0039394747
-
Modulation estimators and confidence sets
-
Beran, R., Dümbgen, L.: Modulation estimators and confidence sets, Annals of Statistics., 26, 1826-1856 (1998)
-
(1998)
Annals of Statistics.
, vol.26
, pp. 1826-1856
-
-
Beran, R.1
Dümbgen, L.2
-
5
-
-
0003281721
-
Gaussian model selection
-
to appear
-
Birgé, L., Massart, P.: Gaussian model selection, JEMS., to appear (2001)
-
(2001)
JEMS.
-
-
Birgé, L.1
Massart, P.2
-
6
-
-
0033248624
-
Adaptive wavelet estimation: A block thresholding and oracle inequality approach
-
Cai, T.: Adaptive wavelet estimation: a block thresholding and oracle inequality approach, Annals of Statistics., 27, 2607-2625 (1999)
-
(1999)
Annals of Statistics.
, vol.27
, pp. 2607-2625
-
-
Cai, T.1
-
8
-
-
0000837316
-
Asymptotically efficient estimation in a problem related to tomography
-
Cavalier, L.: Asymptotically efficient estimation in a problem related to tomography, Math. Meth. Statist., 7, 445-456 (1998b)
-
(1998)
Math. Meth. Statist.
, vol.7
, pp. 445-456
-
-
Cavalier, L.1
-
9
-
-
0013200571
-
-
Preprint. Laboratoire de Probabilités et Modèles Aléatoires, Universités Paris 6 - Paris 7
-
Cavalier, L., Golubev, Yu., Picard, D., Tsybakov, A.B.: Oracle inequalities for inverse problems. Preprint. Laboratoire de Probabilités et Modèles Aléatoires, Universités Paris 6 - Paris 7. http://www.proba.jussieu.fr/mathdoc/preprints/index.html# 2000
-
(2000)
Oracle Inequalities for Inverse Problems
-
-
Cavalier, L.1
Golubev, Yu.2
Picard, D.3
Tsybakov, A.B.4
-
10
-
-
0033423965
-
Statistical approach to some ill-posed problems for linear partial differential equations
-
Chow, P.-L., Ibragimov, I.A., Khasminskii, R.Z.: Statistical approach to some ill-posed problems for linear partial differential equations, Probab. Theory and Related Fields., 113, 421-441 (1999)
-
(1999)
Probab. Theory and Related Fields.
, vol.113
, pp. 421-441
-
-
Chow, P.-L.1
Ibragimov, I.A.2
Khasminskii, R.Z.3
-
12
-
-
0029288068
-
Nonlinear solutions of linear inverse problems by wavelet-vaguelette decomposition
-
Donoho, D.L.: Nonlinear solutions of linear inverse problems by wavelet-vaguelette decomposition, Journal of Applied and Computational Harmonic Analysis., 2, 101-126 (1995)
-
(1995)
Journal of Applied and Computational Harmonic Analysis.
, vol.2
, pp. 101-126
-
-
Donoho, D.L.1
-
13
-
-
0001573354
-
Renormalization exponents and optimal pointwise rates of convergence
-
Donoho, D., Low, M.: Renormalization exponents and optimal pointwise rates of convergence, Ann. Statist., 20, 944-970 (1992)
-
(1992)
Ann. Statist.
, vol.20
, pp. 944-970
-
-
Donoho, D.1
Low, M.2
-
14
-
-
0031188112
-
Robust and efficient recovery of a signal passed through a filter and then contaminated by non-Gaussian noise
-
Efromovich, S.: Robust and efficient recovery of a signal passed through a filter and then contaminated by non-Gaussian noise, IEEE Trans. Inform. Theory., 43, 1184-1191 (1997)
-
(1997)
IEEE Trans. Inform. Theory.
, vol.43
, pp. 1184-1191
-
-
Efromovich, S.1
-
15
-
-
0032378971
-
Simultaneous sharp adaptive estimation of functions and their derivatives
-
Efromovich, S.: Simultaneous sharp adaptive estimation of functions and their derivatives, Ann. Statist., 26, 273-278 (1998)
-
(1998)
Ann. Statist.
, vol.26
, pp. 273-278
-
-
Efromovich, S.1
-
16
-
-
0013198020
-
Projection estimation for inverse problems with unknown operator
-
Efromovich, S., Kolchinskii, V.: Projection estimation for inverse problems with unknown operator. Manuscript (1998)
-
(1998)
Manuscript
-
-
Efromovich, S.1
Kolchinskii, V.2
-
17
-
-
84904776239
-
Learning algorithm for nonparametric filtering
-
Efroimovich, S.Yu., Pinsker, M.S.: Learning algorithm for nonparametric filtering, Automation and Remote Control., 11, 1434-1440 (1984)
-
(1984)
Automation and Remote Control.
, vol.11
, pp. 1434-1440
-
-
Efroimovich, S.Yu.1
Pinsker, M.S.2
-
18
-
-
0025065807
-
Minimax estimation of the solution of an ill-posed convolution type problem
-
Ermakov, M.S.: Minimax estimation of the solution of an ill-posed convolution type problem, Problems of Information Transmission., 25, 191-200 (1989)
-
(1989)
Problems of Information Transmission.
, vol.25
, pp. 191-200
-
-
Ermakov, M.S.1
-
19
-
-
0000937636
-
On pointwise adaptive nonparametric deconvolution
-
Goldenshluger, A.: On pointwise adaptive nonparametric deconvolution, Bernoulli., 5, 907-926 (1998)
-
(1998)
Bernoulli.
, vol.5
, pp. 907-926
-
-
Goldenshluger, A.1
-
20
-
-
0034561754
-
Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations
-
Goldenshluger, A., Pereverzev, S.V.: Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations, Probability Theory and Related Fields., 118, 169-186 (1999)
-
(1999)
Probability Theory and Related Fields.
, vol.118
, pp. 169-186
-
-
Goldenshluger, A.1
Pereverzev, S.V.2
-
21
-
-
0023207865
-
Adaptive asymptotically minimax estimates of smooth signals
-
Golubev, G.K.: Adaptive asymptotically minimax estimates of smooth signals, Problems of Information Transmission., 23, 57-67 (1987)
-
(1987)
Problems of Information Transmission
, vol.23
, pp. 57-67
-
-
Golubev, G.K.1
-
24
-
-
0001208998
-
Adaptive spline estimates in a nonparametric regression model
-
Golubev, G.K., Nussbaum, M.: Adaptive spline estimates in a nonparametric regression model, Theory of Probability and its Applications., 37, 521-529 (1992)
-
(1992)
Theory of Probability and its Applications.
, vol.37
, pp. 521-529
-
-
Golubev, G.K.1
Nussbaum, M.2
-
25
-
-
0033116796
-
Statistical approach to some inverse boundary problems for partial differential equations
-
Golubev, G.K., Khasminskii, R.Z.: Statistical approach to some inverse boundary problems for partial differential equations, Problems of Information Transmission., 35, 51-66 (1999a)
-
(1999)
Problems of Information Transmission
, vol.35
, pp. 51-66
-
-
Golubev, G.K.1
Khasminskii, R.Z.2
-
26
-
-
85031545007
-
Statistical approach to Cauchy problem for Laplace equation
-
Festschrift for W. van Zwet.
-
Golubev, G.K., Khasminskii, R.Z.: Statistical approach to Cauchy problem for Laplace equation, In: Festschrift for W. van Zwet., IMS Lecture Notes-Monograph Series, 36, (1999b)
-
(1999)
IMS Lecture Notes-Monograph Series
, vol.36
-
-
Golubev, G.K.1
Khasminskii, R.Z.2
-
27
-
-
0033408849
-
Wavelet shrinkage for correlated data and inverse problems: Adaptivity results
-
Johnstone, I.M.: Wavelet shrinkage for correlated data and inverse problems: adaptivity results, Statistica Sinica., 9, 51-83 (1999)
-
(1999)
Statistica Sinica.
, vol.9
, pp. 51-83
-
-
Johnstone, I.M.1
-
28
-
-
0000319983
-
Speed of estimation in positron emission tomography and related inverse problems
-
Johnstone, I.M., Silverman, B.W.: Speed of estimation in positron emission tomography and related inverse problems, Annals of Statistics., 18, 251-280 (1990)
-
(1990)
Annals of Statistics
, vol.18
, pp. 251-280
-
-
Johnstone, I.M.1
Silverman, B.W.2
-
29
-
-
21144470411
-
Optimal rates of convergence for nonparametric statistical inverse problems
-
Koo J.Y.: Optimal rates of convergence for nonparametric statistical inverse problems, Annals of Statistics., 21, 590-599 (1993)
-
(1993)
Annals of Statistics
, vol.21
, pp. 590-599
-
-
Koo, J.Y.1
-
31
-
-
0026187782
-
Optimal rates of convergence of estimators in a probabilistic setup of tomography problem
-
Korostelev, A.P., Tsybakov, A.B.: Optimal rates of convergence of estimators in a probabilistic setup of tomography problem, Problems of Information Transmission., 27, 73-81 (1991)
-
(1991)
Problems of Information Transmission
, vol.27
, pp. 73-81
-
-
Korostelev, A.P.1
Tsybakov, A.B.2
-
32
-
-
0003298461
-
Minimax theory of image reconstruction
-
Springer, New York
-
Korostelev, A.P., Tsybakov, A.B.: Minimax Theory of Image Reconstruction., Lecture Notes in Statistics, v. 82, Springer, New York. (1993)
-
(1993)
Lecture Notes in Statistics
, vol.82
-
-
Korostelev, A.P.1
Tsybakov, A.B.2
-
34
-
-
0030269038
-
Statistical estimation in Hilbert scale
-
Mair, B., Ruymgaart, F.H.: Statistical estimation in Hilbert scale, SIAM J. Appl. Math., 56, 1424-1444 (1996)
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 1424-1444
-
-
Mair, B.1
Ruymgaart, F.H.2
-
39
-
-
84972545853
-
A statistical perspective on ill-posed problems
-
O'Sullivan, F.: A statistical perspective on ill-posed problems, Statist. Science., 1, 502-527 (1986)
-
(1986)
Statist. Science.
, vol.1
, pp. 502-527
-
-
O'Sullivan, F.1
-
40
-
-
0003178644
-
Asymptotically minimax estimation of a function with jumps
-
Oudshoorn, K.: Asymptotically minimax estimation of a function with jumps, Bernoulli., 4, 15-33 (1997)
-
(1997)
Bernoulli.
, vol.4
, pp. 15-33
-
-
Oudshoorn, K.1
-
41
-
-
0000056062
-
Optimal filtering of square integrable signals in Gaussian white noise
-
Pinsker, M.S.: Optimal filtering of square integrable signals in Gaussian white noise, Problems of Information Transmission., 16, 120-133 (1980)
-
(1980)
Problems of Information Transmission
, vol.16
, pp. 120-133
-
-
Pinsker, M.S.1
-
42
-
-
0000169918
-
Estimation of the mean of a multivariate normal distribution
-
Stein, C.M.: Estimation of the mean of a multivariate normal distribution, Ann. Statist., 9, 1135-1151 (1981)
-
(1981)
Ann. Statist.
, vol.9
, pp. 1135-1151
-
-
Stein, C.M.1
-
43
-
-
0013261021
-
Statistical approach to ill-posed problems in mathematical physics
-
Sudakov, V.N., Khalfin, L.A.: Statistical approach to ill-posed problems in mathematical physics, Soviet Math. Doklady., 157, 1094-1096 (1964)
-
(1964)
Soviet Math. Doklady.
, vol.157
, pp. 1094-1096
-
-
Sudakov, V.N.1
Khalfin, L.A.2
-
44
-
-
0034179341
-
On the best rate of adaptive estimation in some inverse problems
-
Tsybakov, A.B.: On the best rate of adaptive estimation in some inverse problems, C.R. Acad. Sci. Paris, sér. 1., 330, 835-840 (2000)
-
(2000)
C.R. Acad. Sci. Paris, Sér. 1.
, vol.330
, pp. 835-840
-
-
Tsybakov, A.B.1
-
47
-
-
0000544453
-
Practical approximate solutions to linear operator equations when the data are noisy
-
Wahba, G.: Practical approximate solutions to linear operator equations when the data are noisy, SIAM J. Numer: Anal., 14, 651-667 (1977)
-
(1977)
SIAM J. Numer: Anal.
, vol.14
, pp. 651-667
-
-
Wahba, G.1
|