Nonparametric estimation in Markov processes, Annals of the Institute of Statistical Mathematics, vol.20, issue.1, pp.73-87, 1969. ,
DOI : 10.1007/BF02532233
Sur l'estimation de la densité d'un processus stationnaire et mélangeant, C. R. Acad. Sci. Paris Sér. A-B, vol.277, pp.535-538, 1973. ,
On Berry-Esseen theorem for nonparametric density estimation in Markov sequences, Bull. Inform. Cybernet, vol.30, issue.1, pp.25-39, 1998. ,
Kernel estimation for real-valued Markov chains, Sankhy¯ a Ser, A, vol.60, issue.1, pp.1-17, 1998. ,
Estimation de la transition de probabilité d'une cha??necha??ne de Markov Doëblin-récurrente. ´ Etude du cas du processus autorégressif général d'ordre 1, Stochastic Process, Appl, vol.15, issue.3, pp.271-293, 1983. ,
Recursive nonparametric estimation of nonstationary Markov processes, Bol. Soc. Mat. Mexicana, vol.33, issue.22, pp.57-69, 1988. ,
Adaptive estimation of the transition density of a regular Markov chain, Math. Methods Statist, vol.9, issue.4, pp.323-357, 2000. ,
Nonparametric estimation of the stationary density and the transition density of a Markov chain, Stochastic Processes and their Applications, vol.118, issue.2 ,
DOI : 10.1016/j.spa.2007.04.013
URL : https://hal.archives-ouvertes.fr/hal-01139399
Risk bounds for model selection via penalization, Probability Theory and Related Fields, vol.113, issue.3, pp.301-413, 1999. ,
DOI : 10.1007/s004400050210
Inequalities for absolutely regular sequences: application to density estimation, Probability Theory and Related Fields, vol.107, issue.4, pp.467-492, 1997. ,
DOI : 10.1007/s004400050094
On the Poisson equation and diffusion approximation. I, Ann, Probab, vol.29, issue.3, pp.1061-1085, 2001. ,
SUR UN MOD??LE AUTOR??GRESSIF NON LIN??AIRE, ERGODICIT?? ET ERGODICIT?? G??OM??TRIQUE, Journal of Time Series Analysis, vol.290, issue.2, pp.195-204, 1987. ,
DOI : 10.1007/BF00534186
Critères d'ergodicité de quelques modèlesmodèlesà représentation markovienne, C. R. Acad. Sci. Paris Sér. I Math, vol.315, issue.12, pp.1301-1304, 1992. ,
New concentration inequalities in product spaces, Inventiones Mathematicae, vol.126, issue.3, pp.505-563, 1996. ,
DOI : 10.1007/s002220050108
From Model Selection to Adaptive Estimation, pp.55-87, 1997. ,
DOI : 10.1007/978-1-4612-1880-7_4
Adaptive Estimation of the Spectrum of a Stationary Gaussian Sequence, Bernoulli, vol.7, issue.2, pp.267-298, 2001. ,
DOI : 10.2307/3318739
URL : https://hal.archives-ouvertes.fr/hal-00170751
Approximation dans les espaces m???triques et th???orie de l'estimation, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.3, issue.2, pp.181-237, 1983. ,
DOI : 10.1007/BF00532480
Computable infinite dimensional filters with applications to discretized diffusion processes, Stochastic Process, Appl, vol.116, issue.10, pp.1447-1467, 2006. ,
Adaptive estimation of mean and volatility functions in (auto-)regressive models, Stochastic Process, Appl, vol.97, issue.1, pp.111-145, 2002. ,
A new algorithm for fixed design regression and denoising, Annals of the Institute of Statistical Mathematics, vol.63, issue.2, pp.449-473, 2004. ,
DOI : 10.1007/BF02530536
URL : https://hal.archives-ouvertes.fr/hal-00748959
Wavelet Characterizations for Anisotropic Besov Spaces, Applied and Computational Harmonic Analysis, vol.12, issue.2, pp.179-208, 2002. ,
DOI : 10.1006/acha.2001.0377
Adaptive estimation in autoregression or ?-mixing regression via model selection, Ann. Statist, vol.29, issue.3, pp.839-875, 2001. ,
Minimum Contrast Estimators on Sieves: Exponential Bounds and Rates of Convergence, Bernoulli, vol.4, issue.3, pp.329-375, 1998. ,
DOI : 10.2307/3318720