-
1
-
-
84873374810
-
Sampled forms of functional pca in reproducing kernel hilbert spaces
-
A.A. Amini, M.J. Wainwright, Sampled forms of functional PCA in reproducing kernel Hilbert spaces, Annals of Statistics 40 (5) (2012) 2452-2482.
-
(2012)
Annals of Statistics
, vol.40
, Issue.5
, pp. 2452-2482
-
-
Amini, A.A.1
Wainwright, M.J.2
-
2
-
-
0001181674
-
Principal components-analysis of sampled functions
-
P. Besse, J.O. Ramsay, Principal components-analysis of sampled functions, Psychometrika 51 (1986) 285-311.
-
(1986)
Psychometrika
, vol.51
, pp. 285-311
-
-
Besse, P.1
Ramsay, J.O.2
-
3
-
-
33645031454
-
Propriétés des opérateurs de covariance empiriques d'un processus stationnaire Hilbertien
-
D. Bosq, Propriétés des opérateurs de covariance empiriques d'un processus stationnaire Hilbertien, Comptes Rendus de l'Académie des Sciences. Série I 309 (14) (1989) 873-875.
-
(1989)
Comptes Rendus de l'Académie des Sciences. Série i
, vol.309
, Issue.14
, pp. 873-875
-
-
Bosq, D.1
-
4
-
-
85030496516
-
Modèle autorégressif Hilbertien application à la prévision du comportement d'un processus á temps continu sur un intervalle de temps donné
-
D. Bosq, Modèle autorégressif Hilbertien, application à la prévision du comportement d'un processus á temps continu sur un intervalle de temps donné, Comptes Rendus de l'Académie des Sciences. Série I 310 (11) (1990) 787-790.
-
(1990)
Comptes Rendus de l'Académie des Sciences. Série i
, vol.310
, Issue.11
, pp. 787-790
-
-
Bosq, D.1
-
5
-
-
25144465434
-
Estimation of mean and covariance operator of autoregressive processes in banach spaces
-
10.1023/A:1021279131053
-
D. Bosq, Estimation of mean and covariance operator of autoregressive processes in Banach spaces, Statistical Inference for Stochastic Processes 5 (2002) 287-306. 10.1023/A:1021279131053.
-
(2002)
Statistical Inference for Stochastic Processes
, vol.5
, pp. 287-306
-
-
Bosq, D.1
-
9
-
-
84968484391
-
Kernels of trace class operators
-
C. Brislawn, Kernels of trace class operators, in: Proc. Am. Math. Soc, vol. 104, 1988, pp. 1181-1190.
-
(1988)
Proc. Am. Math. Soc
, vol.104
, pp. 1181-1190
-
-
Brislawn, C.1
-
10
-
-
0001469917
-
Nonparametric estimation of smoothed principal components analysis of sampled noisy functions
-
H. Cardot, Nonparametric estimation of smoothed principal components analysis of sampled noisy functions, Journal of Nonparametric Statistics 12 (2000) 503-538.
-
(2000)
Journal of Nonparametric Statistics
, vol.12
, pp. 503-538
-
-
Cardot, H.1
-
11
-
-
34547277358
-
Conditional functional principal components analysis
-
H. Cardot, Conditional functional principal components analysis, Scandinavian Journal of Statistics 34 (2) (2007) 317-335.
-
(2007)
Scandinavian Journal of Statistics
, vol.34
, Issue.2
, pp. 317-335
-
-
Cardot, H.1
-
12
-
-
4243948862
-
On harmonic analysis in certain functional spaces
-
H. Cramér, On harmonic analysis in certain functional spaces, Arkiv för Matematik, Astronomi och Fysik 28B (1942) 1-7.
-
(1942)
Arkiv för Matematik, Astronomi Och Fysik
, vol.28 B
, pp. 1-7
-
-
Cramér, H.1
-
13
-
-
0000957849
-
Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
-
J. Dauxois, A. Pousse, Y. Romain, Asymptotic theory for the principal component analysis of a vector random function: some applications to statistical inference, Journal of Multivariate Analysis 12 (1982) 136-154.
-
(1982)
Journal of Multivariate Analysis
, vol.12
, pp. 136-154
-
-
Dauxois, J.1
Pousse, A.2
Romain, Y.3
-
14
-
-
0003591656
-
Vector integration and stochastic integration in banach spaces
-
Wiley, New York
-
N. Dinculeanu, Vector Integration and Stochastic Integration in Banach Spaces, in: Pure and Applied Mathematics, Wiley, New York, 2000.
-
(2000)
Pure and Applied Mathematics
-
-
Dinculeanu, N.1
-
16
-
-
0000360828
-
Stochastic processes and statistical inference
-
U. Grenander, Stochastic processes and statistical inference, Arkiv för Matematik 1 (1950) 195-277.
-
(1950)
Arkiv för Matematik
, vol.1
, pp. 195-277
-
-
Grenander, U.1
-
17
-
-
0004058370
-
Abstract inference
-
John Wiley & Sons, New York etc
-
U. Grenander, Abstract Inference, in: Wiley Series in Probability and Mathematical Statistics, vol. IX, John Wiley & Sons, New York etc., 1981, p. 526.
-
(1981)
Wiley Series in Probability and Mathematical Statistics
, vol.9
, pp. 526
-
-
Grenander, U.1
-
18
-
-
33645039219
-
On properties of functional principal components analysis
-
DOI 10.1111/j.1467-9868.2005.00535.x
-
P. Hall, M. Hosseini-Nasab, On properties of functional principal components analysis, Journal of the Royal Statistical Society, Series B, Statistical Methodology 68 (1) (2006) 109-126. (Pubitemid 43415338)
-
(2006)
Journal of the Royal Statistical Society. Series B: Statistical Methodology
, vol.68
, Issue.1
, pp. 109-126
-
-
Hall, P.1
Hosseini-Nasab, M.2
-
20
-
-
33747153005
-
Properties of principal component methods for functional and longitudinal data analysis
-
DOI 10.1214/009053606000000272
-
P. Hall, H.G. Müller, J.L. Wang, Properties of principal component methods for functional and longitudinal data analysis, Annals of Statistics 34 (3) (2006) 1493-1517. (Pubitemid 44231170)
-
(2006)
Annals of Statistics
, vol.34
, Issue.3
, pp. 1493-1517
-
-
Hall, P.1
Muller, H.-G.2
Wang, J.-L.3
-
21
-
-
77951495664
-
Weakly dependent functional data
-
S. Hörmann, P. Kokoszka, Weakly dependent functional data, Annals of Statistics 38 (3) (2010) 1845-1884.
-
(2010)
Annals of Statistics
, vol.38
, Issue.3
, pp. 1845-1884
-
-
Hörmann, S.1
Kokoszka, P.2
-
22
-
-
84870657482
-
Inference for functional data with applications
-
Springer, New York, NY
-
L. Horváth, P. Kokoszka, Inference for Functional Data with Applications, in: Springer Series in Statistics, Springer, New York, NY, 2012.
-
(2012)
Springer Series in Statistics
-
-
Horváth, L.1
Kokoszka, P.2
-
25
-
-
78149287743
-
Principal components of random variables with values in a seperable hilbert space
-
J. Kleffe, Principal components of random variables with values in a seperable Hilbert space, Mathematische Operationsforschung Statistik 4 (5) (1973) 391-406.
-
(1973)
Mathematische Operationsforschung Statistik
, vol.4
, Issue.5
, pp. 391-406
-
-
Kleffe, J.1
-
27
-
-
84885085270
-
Fonctions aléatoires du seconde ordre
-
Levy, P., Gauthier-Villars, Éditeur, Paris
-
P. Lévy, Fonctions aléatoires du seconde ordre, in: Processus stochastiques et mouvement Brownien, Suivi d'une note de M. Loève. Levy, P., Gauthier-Villars, Éditeur, Paris, 1948, p. 365.
-
(1948)
Processus Stochastiques et Mouvement Brownien, Suivi d'Une Note de M. Loève
, pp. 365
-
-
Lévy, P.1
-
29
-
-
0036209018
-
Weak convergence for the covariance operators of a hilbertian linear process
-
A. Mas, Weak convergence for the covariance operators of a Hilbertian linear process, Stochastic Processes and their Applications 99 (2002) 117-135.
-
(2002)
Stochastic Processes and Their Applications
, vol.99
, pp. 117-135
-
-
Mas, A.1
-
30
-
-
33749479351
-
Perturbation approach applied to the asymptotic study of random operators
-
Birkhäuser
-
A. Mas, L. Menneteau, Perturbation approach applied to the asymptotic study of random operators, in: High Dimensional Probability III, vol. 55, Birkhäuser, 2003, pp. 127-133.
-
(2003)
High Dimensional Probability III
, vol.55
, pp. 127-133
-
-
Mas, A.1
Menneteau, L.2
-
32
-
-
84879130814
-
Fourier analysis of stationary processes in function space
-
(in press)
-
V.M. Panaretos, S. Tavakoli, Fourier analysis of stationary processes in function space, Annals of Statistics, 2013, (in press).
-
(2013)
Annals of Statistics
-
-
Panaretos, V.M.1
Tavakoli, S.2
-
35
-
-
0001597980
-
Estimating the mean and covariance structure nonparametrically when the data are curves
-
J.A. Rice, B. Silverman, Estimating the mean and covariance structure nonparametrically when the data are curves, Journal of the Royal Statistical Society. Series B 53 (1) (1991) 233-243.
-
(1991)
Journal of the Royal Statistical Society. Series B
, vol.53
, Issue.1
, pp. 233-243
-
-
Rice, J.A.1
Silverman, B.2
-
36
-
-
0030537857
-
Smoothed functional principal components analysis by choice of norm
-
B.W. Silverman, Smoothed functional principal components analysis by choice of norm, Annals of Statistics 24 (1) (1996) 1-24.
-
(1996)
Annals of Statistics
, vol.24
, Issue.1
, pp. 1-24
-
-
Silverman, B.W.1
-
37
-
-
0004307223
-
Stochastic calculus and financial applications
-
(Corr. 3rd printing ed.), Springer, New York
-
J.M. Steele, Stochastic Calculus and Financial Applications (Corr. 3rd printing ed.), in: 3rd corr. pr of Stochastic Modelling and Applied Probability, vol. 45, Springer, New York, 2003.
-
(2003)
3rd Corr. Pr of Stochastic Modelling and Applied Probability
, vol.45
-
-
Steele, J.M.1
-
38
-
-
19744375466
-
Functional data analysis for sparse longitudinal data
-
DOI 10.1198/016214504000001745
-
F. Yao, H.G. Müller, J.L. Wang, Functional data analysis of sparse longitudinal data, Journal of the American Statistical Association 100 (2005) 577-590. (Pubitemid 40816595)
-
(2005)
Journal of the American Statistical Association
, vol.100
, Issue.470
, pp. 577-590
-
-
Yao, F.1
Muller, H.-G.2
Wang, J.-L.3
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