A. Appendice-bibliographie-antoniadis and J. H. Et-beder, Joint estimation of the mean and the covariance of a Banach valued Gaussian vector, Statistics, vol.20, issue.1, pp.77-93, 1989.

A. Antoniadis and T. Et-sapatinas, Wavelet methods for continuous-time prediction using Hilbert-valued autoregressive processes, Journal of Multivariate Analysis, vol.87, issue.1, pp.133-158, 2003.
DOI : 10.1016/S0047-259X(03)00028-9

J. H. Beder, A Sieve Estimator for the Mean of a Gaussian Process, The Annals of Statistics, vol.15, issue.1, pp.59-78, 1987.
DOI : 10.1214/aos/1176350253

J. H. Beder, A Sieve Estimator for the Covariance of a Gaussian Process, The Annals of Statistics, vol.16, issue.2, pp.648-660, 1988.
DOI : 10.1214/aos/1176350825

N. Bensmain and T. Et-mourid, Estimateur ??sieve ?? de l'op??rateur d'un processus ARH(1), Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.332, issue.11, pp.332-1015, 2001.
DOI : 10.1016/S0764-4442(01)01954-1

P. C. Besse and H. Et-cardot, Approximation spline de la prévision d'un processus fonctionnel autorégressif d'ordre 1. Canad, J. Statist, vol.24, issue.4, pp.467-487, 1996.
DOI : 10.2307/3315328

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.8215

D. Bosq and T. Et-mourid, On the equivalence of the measures induced by banach valued gaussian autoregressive processes, Stochastic Analysis and Applications, vol.317, issue.2, pp.137-144, 1999.
DOI : 10.1214/aoms/1177699516

D. Bosq, mean and covariance operator of autoregressive processes in Banach spaces, Stat. Inference Stoch. Process, 1991.

D. Bosq, Nonparametric statistics for stochastic processes, 1998.

D. Bosq, Linear processes in function spaces, Lecture Notes in Statistics Theory and applications, vol.149, 2000.
DOI : 10.1007/978-1-4612-1154-9

D. Bosq, Estimation of mean and covariance operator of autoregressive processes in Banach spaces, Statistical Inference for Stochastic Processes, vol.5, issue.3, pp.287-306, 2002.
DOI : 10.1023/A:1021279131053

M. Broniatowski, Estimation of the Kullback-Leibler divergence, Math. Methods Statist, vol.12, issue.4, pp.391-409, 2003.

H. Cardot, Convergence du lissage spline de la pr??vision des processus autor??gressifs fonctionnels, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.326, issue.6, pp.755-758, 1998.
DOI : 10.1016/S0764-4442(98)80044-X

I. Csiszár, Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten, 1963.

J. Damon and S. Et-guillas, Estimation and Simulation of Autoregressive Hilbertian Processes with Exogenous Variables, Statistical Inference for Stochastic Processes, vol.22, issue.384, pp.185-204, 2005.
DOI : 10.1007/s11203-004-1031-6

H. Dehling and O. S. Et-sharipov, Estimation of Mean and Covariance Operator for Banach Space Valued Autoregressive Processes with Dependent Innovations, Statistical Inference for Stochastic Processes, vol.1, issue.2, 2005.
DOI : 10.1007/s11203-003-0382-8

H. Dehling, Limit theorems for sums of weakly dependent Banach space valued random variables, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.22, issue.3, pp.393-432, 1983.
DOI : 10.1007/BF00542537

J. Diestel, H. Jarchow, and A. Et-tonge, Absolutely summing operators, volume 43 of Cambridge Studies in Advanced Mathematics, 1995.

J. Diestel, Sequences and series in Banach spaces, volume 92 of Graduate Texts in Mathematics, 1984.

I. S. Gál and J. F. Et-koksma, Sur l'ordre de grandeur des fonctions sommables, Comptes Rendus, vol.227, pp.1321-1323, 1948.

. Ann and . Inst, Fourier Grenoble, pp.53-59, 1950.

S. Geman and C. Et-hwang, Nonparametric Maximum Likelihood Estimation by the Method of Sieves, The Annals of Statistics, vol.10, issue.2, pp.401-414, 1982.
DOI : 10.1214/aos/1176345782

U. Grenander, Abstract inference, 1981.

S. Guillas, Non-causalit?? et discr??tisation fonctionnelle, th??or??mes limites pour un processus, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.331, issue.1, pp.91-94, 2000.
DOI : 10.1016/S0764-4442(00)00503-6

S. Guillas, Rates of convergence of autocorrelation estimates for autoregressive Hilbertian processes, Statistics & Probability Letters, vol.55, issue.3, pp.281-291, 2001.
DOI : 10.1016/S0167-7152(01)00151-1

S. Guillas, Doubly stochastic Hilbertian processes, Journal of Applied Probability, vol.21, issue.03, pp.566-580, 2002.
DOI : 10.1111/j.1467-9892.1986.tb00490.x

A. Jakubowski, Tightness criteria for random measures with application to the principle of conditioning in Hilbert spaces, Probab. Math. Statist, vol.9, issue.1, pp.95-114, 1988.

V. M. Kadets and M. I. Et-kadets, Rearrangements of series in Banach spaces, volume 86 of Translations of Mathematical Monographs, 1991.

A. Keziou, Dual representation of ??-divergences and applications, Comptes Rendus Mathematique, vol.336, issue.10, 2003.
DOI : 10.1016/S1631-073X(03)00215-2

J. Kuelbs, Gaussian measures on a Banach space, Journal of Functional Analysis, vol.5, issue.3, pp.354-367, 1970.
DOI : 10.1016/0022-1236(70)90014-5

H. H. Kuo, Gaussian measures in Banach spaces, Lecture Notes in Mathematics, vol.463, 1975.

A. Labbas and T. Et-mourid, Estimation et pr??vision d'un processus autor??gressif Banach, Comptes Rendus Mathematique, vol.335, issue.9, pp.767-772, 2002.
DOI : 10.1016/S1631-073X(02)02544-X

M. Ledoux and M. Et-talagrand, Probability in Banach spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas, 1991.
DOI : 10.1007/978-3-642-20212-4

J. Lindenstrauss and L. Et-tzafriri, Classical Banach spaces. I, Sequence spaces Ergebnisse der Mathematik und ihrer Grenzgebiete, 1977.

R. S. Lipster and A. N. Et-shiryayev, Statistics of conditionally Gaussian random sequences, 1972.

R. S. Liptser and A. N. Et-shiryaev, Statistics of random processes. I, Applications of Mathematics, vol.5, 2001.

R. S. Liptser and A. N. Et-shiryaev, Statistics of random processes. II, Applications of Mathematics, vol.6, 2001.
DOI : 10.1007/978-1-4757-4293-0

. Applications, Translated from the 1974 Russian original by A. B. Aries, Stochastic Modelling and Applied Probability

J. Marion and B. Et-pumo, Comparaison des modèles ARH(1) et ARHD(1) sur des données physiologiques, Ann. I.S.U.P, vol.48, issue.3, pp.29-38, 2004.

A. Mas, Normalit?? asymptotique de l'estimateur empirique de l'op??rateur d'autocorr??lation d'un processus ARH(1), Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.329, issue.10, pp.329-899, 1999.
DOI : 10.1016/S0764-4442(00)87496-0

A. Mas, Un nouveau TCL pour les opérateurs de covariance dans le modèle ARH(1), Ann. I.S.U.P, vol.48, issue.3, pp.49-61, 2004.

T. Mourid, Représentation autorégressive dans un espace de Banach de processus réelsréelsà temps continu etéquivalenceetéquivalence des lois, C. R. Acad. Sci. Paris Sér. I Math, vol.322, issue.12, pp.1219-1224, 1996.

D. Pallaschke and S. Et-rolewicz, Foundations of mathematical optimization, volume 388 of Mathematics and its Applications, 1997.

A. Pee-lczy´nskilczy´nski, All separable Banach spaces admit for every ? > 0 fundamental total and bounded by 1 + ? biorthogonal sequences, Studia Math, vol.55, issue.3, pp.295-304, 1976.

I. F. Pinelis and I. Et-sakhanenko, Remarks on Inequalities for Large Deviation Probabilities, Theory of Probability & Its Applications, vol.30, issue.1, pp.143-148, 1985.
DOI : 10.1137/1130013

B. Pumo, Les processus autorégressifsautorégressifsà valeurs dans C [0,?] Estimation de processus discrétisés, C. R. Acad. Sci. Paris Sér. I Math, vol.320, issue.4, pp.497-500, 1995.

B. Pumo, Prediction of continuous time processes by C[0,1]-valued autoregressive processes, Stat. Inference Stoch. Process, vol.3, pp.1-13, 1999.

F. Rachedi and T. Et-mourid, Estimateur crible de l'op??rateur d'un processus ARB(1), Comptes Rendus Mathematique, vol.336, issue.7, 2003.
DOI : 10.1016/S1631-073X(03)00061-X

F. Rachedi, Vitesse de convergence de l'estimateur crible d'un ARB(1) Ann, 2004.

F. Rachedi, Vitesse de convergence en norme p-int??grale et normalit?? asymptotique de l'estimateur crible de l'op??rateur d'un ARB(1), Comptes Rendus Mathematique, vol.341, issue.6, pp.369-374, 2005.
DOI : 10.1016/j.crma.2005.05.009

J. A. Rozanov, Infinite-dimensional Gaussian distributions, p.161, 1971.

L. Rüschendorf, On the minimum discrimination information theorem. Number suppl. 1. Recent results in estimation theory and related topics, 1984.

L. Rüschendorf, Projections of probability measures, Statistics, vol.1, issue.1, 1987.
DOI : 10.1007/BF00535495

N. N. Vakhania, V. I. Tarieladze, and S. A. Et-chobanyan, Probability distributions on Banach spaces, of Mathematics and its Applications (Soviet Series). D, 1987.
DOI : 10.1007/978-94-009-3873-1