Single functional index model for a time series, p.321330, 2005. ,
Cross-validated estimation in the single functional index model, Statistics, vol.42, p.475494, 2008. ,
Functional estimation for mixing time series, C. Acad. Sci. Paris, vol.317, issue.405408, 1993. ,
Weak dependence beyond mixing and asymptotics for nonparametric
regression, The Annals of Statistics, vol.30, issue.2, 2002. ,
DOI : 10.1214/aos/1021379859
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1021379859
Asymptotic Distribution of Robust Estimator for Functional Nonparametric Models Communications in Statistics : Theory and Methods, p.13171335, 2010. ,
On robust nonparametric regression estimation for a functional regressor, Statistics & Probability Letters, vol.78, issue.18, p.3221, 2008. ,
DOI : 10.1016/j.spl.2008.06.018
URL : https://hal.archives-ouvertes.fr/hal-00510975
Kernel-type density and failure rate estimation for associated sequences, Annals of the Institute of Statistical Mathematics, vol.26, issue.2, p.253266, 1995. ,
DOI : 10.1007/BF00773461
Probability and Measure, 1995. ,
On the Convergence Rate in the Central Limit Theorem for Associated Processes, The Annals of Probability, vol.16, issue.4, p.16851698, 1988. ,
DOI : 10.1214/aop/1176991591
Robust nonparametric regression estimation, Journal of Multivariate Analysis, vol.29, issue.2, 1989. ,
DOI : 10.1016/0047-259X(89)90023-7
Choix optimal de l'indice multi-fonctionnel : Méthode de validation croisée, Rev. Roumaine de Math. Pures et Appliquées Vol, vol.55, issue.5, p.355367, 2010. ,
Limit theorems for negatively dependent random variables, Proceedings of the First World Congress of Nonlinear Analysis, 1926. ,
On the convergence rates in the CLT for positively and negatively dependent random elds, Probability Theory and Mathematical Statistics, p.314, 1996. ,
Normal approximation for quasi-associated random elds, Statist. Probab. Lett, vol.54, p.215226, 2001. ,
Limit theorems for associated random elds and related systems, 2007. ,
Weak convergence for smooth estimator of a distribution function under negative association, Stochastic Analysis and Applications, vol.15, issue.2, p.245268, 1999. ,
DOI : 10.1007/BF01192169
BerryEsseen bounds for a smooth estimate of a distribution function under association, J. Nonparametric Statist, vol.11, p.79106, 1999. ,
Functional linear model, Statistics & Probability Letters, vol.45, issue.1, pp.45-1122, 1999. ,
DOI : 10.1016/S0167-7152(99)00036-X
Spline Estimators for the Functional Linear Model, Statistica Sinica, vol.13, p.571591, 2003. ,
Testing for no eect in functional linear regression models, some computational approaches, Comm. Statist. Simulation Comput, vol.33, p.171199, 2004. ,
Quantile regression when the covariates are functions, Journal of Nonparametric Statistics, vol.3, issue.7, p.541856, 2005. ,
DOI : 10.2307/1269656
URL : https://hal.archives-ouvertes.fr/hal-00134226
Strong uniform convergence rates in robust nonparametric time series analysis and prediction: Kernel regression estimation from dependent observations, Stoch. Proc. Appl. 23, p.7789, 1986. ,
DOI : 10.1016/0304-4149(86)90017-7
Robust nonparametric estimation for functional data, Functional and Operatorial Statistics. Contribution to statistics, 2009. ,
Functional semiparametric partially linear model with autoregressive errors, Journal of Multivariate Analysis, vol.101, issue.2, p.307315, 2010. ,
DOI : 10.1016/j.jmva.2008.06.008
URL : https://hal.archives-ouvertes.fr/hal-00958112
M-estimateurs semiparamétriques dans les modèles à direction révélatrice unique, Bull. Belg. Math. Soc. Simon Stevin, vol.6, issue.2, p.161185, 1999. ,
Ecient estimation in conditional single-index regression, J. Multivariate Anal, vol.86, p.213226, 2003. ,
A survey about single-index models theory, J. Statist. Plann. Inference, vol.1, issue.2, 2006. ,
On semiparametric -estimation in single-index regression, Journal of Statistical Planning and Inference, vol.136, issue.3, p.730769, 2006. ,
DOI : 10.1016/j.jspi.2004.09.006
URL : https://hal.archives-ouvertes.fr/hal-00458962
Régression non paramétrique fonctionnelle : Expression asymptotique des moments, Ann. I.S.U.P, vol.3, p.4367, 2007. ,
Coupling for ?-Dependent Sequences and Applications, Journal of Theoretical Probability, vol.3, issue.4, pp.861-885, 2004. ,
DOI : 10.1007/s10959-004-0578-x
Weak dependence, Lecture Notes in Statistics, 2007. ,
DOI : 10.1007/978-0-387-69952-3_2
URL : https://hal.archives-ouvertes.fr/hal-00686031
Coupling for ?-Dependent Sequences and Applications, Journal of Theoretical Probability, vol.3, issue.4, pp.861-885, 2004. ,
DOI : 10.1007/s10959-004-0578-x
Mixing : Properties and Examples., Lecture Notes in Sta- tistics, 1994. ,
A new weak dependence condition and applications to moment inequalities, Stochastic Processes and their Applications, vol.84, issue.2, p.313342, 1999. ,
DOI : 10.1016/S0304-4149(99)00055-1
Association of Random Variables, with Applications, The Annals of Mathematical Statistics, vol.38, issue.5, p.14661476, 1967. ,
DOI : 10.1214/aoms/1177698701
Some asymptotic results of a nonparametric conditional mode estimator for functional time series data, Statist. Neerlandica, vol.64, issue.2, p.171201, 2010. ,
Mod??le ?? indice fonctionnel simple, Comptes Rendus Mathematique, vol.336, issue.12, 2003. ,
DOI : 10.1016/S1631-073X(03)00239-5
Nonparametric functional data analysis : Theory and Practice, 2006. ,
Advances in nonparametric regression for functional variables. Aust. and New Zeal, J. of Statist, vol.49, pp.1-20, 2007. ,
Estimating Some Characteristics of the Conditional Distribution in Nonparametric Functional Models, Statist. Inf. for Stoch. Proc. 9, p.4776, 2006. ,
DOI : 10.1007/s11203-004-3561-3
Rate of uniform consistency for nonparametric estimates with functional variables, Journal of Statistical Planning and Inference, vol.140, issue.2, p.335352, 2009. ,
DOI : 10.1016/j.jspi.2009.07.019
URL : https://hal.archives-ouvertes.fr/hal-00629617
Functional average derivative regression, 2011. ,
Estimation of a Functional Single Index Model, 2011. ,
DOI : 10.1007/978-3-7908-2736-1_17
URL : https://hal.archives-ouvertes.fr/hal-00794772
Un modèle semi-paramétrique pour variables aléatoires hilbertiennes (in french), C. R. Acad. Sci. Paris Série. I Math, vol.333, issue.10, p.947952, 2001. ,
Correlation inequalities on some partially ordered sets, Communications in Mathematical Physics, vol.26, issue.Suppl., p.119127, 1971. ,
DOI : 10.1007/BF01651330
An exponential inequality under weak dependence, Bernoulli, vol.12, issue.2, p.333350, 2006. ,
DOI : 10.3150/bj/1145993977
On Projection Pursuit Regression, The Annals of Statistics, vol.17, issue.2, pp.573-588, 1989. ,
DOI : 10.1214/aos/1176347126
Estimation of functional derivatives, The Annals of Statistics, vol.37, issue.6A, 2009. ,
DOI : 10.1214/09-AOS686
Robust Nonparametric Regression with Simultaneous Scale Curve Estimation, The Annals of Statistics, vol.16, issue.1, p.120135, 1988. ,
DOI : 10.1214/aos/1176350694
Optimal Smoothing in Single-Index Models, The Annals of Statistics, vol.21, issue.1, p.157178, 1993. ,
DOI : 10.1214/aos/1176349020
A lower bound for the critical probability in a certain percolation process, Proc. Cambridge Philos. Soci. 56, 1320. ,
DOI : 10.1214/aoms/1177706894
Direct estimation of the index coecient in the single-index model, Ann. Statist, vol.29, p.595623, 2001. ,
Robust estimation of a location parameter, Ann. Math. Statist, vol.35, p.73101, 1964. ,
Projection Pursuit, The Annals of Statistics, vol.13, issue.2, p.435475, 1985. ,
DOI : 10.1214/aos/1176349519
Negative association of random variables, with applications, Ann. Statist, vol.11, 1983. ,
Some concepts of dependence, Ann. Math. Statist, vol.37, p.11371153, 1966. ,
ESTIMATION OF THE DENSITY AND THE REGRESSION FUNCTION UNDER MIXING CONDITIONS, Statistics & Risk Modeling, vol.19, issue.1, p.926, 2001. ,
DOI : 10.1524/strm.2001.19.1.9
Gaussian processes: Inequalities, small ball probabilities and applications, Stochastic processes : Theory and Methods ,
DOI : 10.1016/S0169-7161(01)19019-X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.146.3738
Recursive probability density estimation for weakly dependent stationary processes IEEE, Trans. Inform. Theory, vol.32, p.254267, 1986. ,
Multivariate probability density estimation for associated processes: strong consistency and rates, Statistics & Probability Letters, vol.58, issue.2, 2002. ,
DOI : 10.1016/S0167-7152(02)00105-0
Eciency of weighted average derivative estimators and index models, Econometrica, vol.61, issue.2, p.11991223, 1993. ,
Normal uctuations and the FKG inequalities, Comm. Math. Phys, vol.74, issue.2, p.119128, 1980. ,
Asymptotic independence and limit theorems for positively and negatively dependent random variables, IMS Lect. NotesMonographs Series, vol.5, p.127140, 1984. ,
DOI : 10.1214/lnms/1215465639
Strong laws of large numbers for negatively dependent random elements, Nonlinear Analysis: Theory, Methods & Applications, vol.30, issue.7, p.42294235, 1997. ,
DOI : 10.1016/S0362-546X(97)00279-4
When the data are functions, Psychometrika, vol.47, issue.4, p.396, 1982. ,
DOI : 10.1007/BF02293704
Some tools for functional data analysis, J. R. Statist. Soc. B, vol.53, issue.539572, 1991. ,
Functional data analysis, 1997. ,
Applied functional data analysis : Methode and Case Studies, 2002. ,
DOI : 10.1007/b98886
Functional data analysis, 2005. ,
Théorie asymptotique des processus aléatoires faiblement dépendants, p.31, 2000. ,
Kernel estimates under association: strong uniform consistency, Statistics & Probability Letters, vol.12, issue.5, p.215224, 1991. ,
DOI : 10.1016/0167-7152(91)90028-P
Asymptotic normality of random elds of positively or negatively associated processes, J of Multivar. Analys, vol.50, p.152173, 1994. ,
Positive and negative dependence with some statistical applications, Asymptotics, Nonparametrics and Time Series, p.757788, 1999. ,
Prediction Under Association, Recent Advances in Reliability Theory : Methodology, Practice and Inference. BirkhSauser, 2000. ,
DOI : 10.1007/978-1-4612-1384-0_29
Fixed design regression under association, Lecture Notes- Monograph Series, p.7189, 2001. ,
Approximation Theorems of Mathematical Statistics, 1980. ,
Maximal Inequalities for Degenerate $U$-Processes with Applications to Optimization Estimators, The Annals of Statistics, vol.22, issue.1, p.439459, 1994. ,
DOI : 10.1214/aos/1176325377
Weak laws of large numbers for arrays of rowwise negatively dependent random variables, Journal of Applied Mathematics and Stochastic Analysis, vol.14, issue.3, p.227236, 2001. ,
DOI : 10.1155/S1048953301000181
A strong law of large numbers for arrays of rowwise negatively dependent random variables, p.643656, 2002. ,
On extended partially linear single-index models, Biometrika, vol.86, issue.4, p.831842, 1999. ,
DOI : 10.1093/biomet/86.4.831
On the estimation and testing of functional-coecient linear models, Stat. Sinica, vol.9, p.735757, 1999. ,
Projection Pursuit Autoregression in Time Series, Journal of Time Series Analysis, vol.20, issue.6, 2002. ,
DOI : 10.1111/1467-9892.00167
Estimation non paramétrique de la densité conditionnelle par la méthode du noyau, Thèse de Doctorat, 1993. ,
Single functional index model for a time series, p.321330, 2005. ,
Cross-validated estimation in the single functional index model, Statistics, vol.42, p.475494, 2008. ,
Ecient estimation in conditional single-index regression, J. Multivariate Anal, vol.86, p.213226, 2003. ,
Some asymptotic results of a nonparametric conditional mode estimator for functional time series data, 2010. ,
Estimating Some Characteristics of the Conditional Distribution in Nonparametric Functional Models, Statist. Inf. for Stoch. Proc. 9, p.4776, 2006. ,
DOI : 10.1007/s11203-004-3561-3
Rate of uniform consistency for nonparametric estimates with functional variables, Journal of Statistical Planning and Inference, vol.140, issue.2, p.335352, 2009. ,
DOI : 10.1016/j.jspi.2009.07.019
URL : https://hal.archives-ouvertes.fr/hal-00629617
Mod??le ?? indice fonctionnel simple, Comptes Rendus Mathematique, vol.336, issue.12, 2003. ,
DOI : 10.1016/S1631-073X(03)00239-5
NonParametric Functional Data Analysis : Theory and Practice, 2006. ,
Optimal Smoothing in Single-Index Models, The Annals of Statistics, vol.21, issue.1, p.157178, 1993. ,
DOI : 10.1214/aos/1176349020
Direct estimation of the index coecient in the single-index model, Ann. Statist, vol.29, p.595623, 2001. ,
A generalized -approach for a kernel estimator of conditional quantile with functional regressors: Consistency and asymptotic normality, Statistics & Probability Letters, vol.79, issue.8, 2009. ,
DOI : 10.1016/j.spl.2008.12.016
URL : https://hal.archives-ouvertes.fr/hal-00516884
Cross-validated estimation in the single functional index model, Statistics, vol.42, p.475494, 2008. ,
Weak dependence beyond mixing and asymptotics for non parametric regression, Ann. Statist, vol.397, pp.30-32, 2002. ,
DOI : 10.1214/aos/1021379859
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1021379859
A note on the conditional density estimate in the single functional index model, Statistics & Probability Letters, vol.81, issue.1, p.4553, 2011. ,
DOI : 10.1016/j.spl.2010.09.017
URL : https://hal.archives-ouvertes.fr/hal-00698847
Normal approximation for quasi-associated random elds, Statist. Probab. Lett, vol.54, p.215226, 2001. ,
Asymptotical behaviour of some functionals of positively and negatively dependent random elds Fundam, 1998. ,
Weak dependence, Lecture Notes in Statistics, 2007. ,
DOI : 10.1007/978-0-387-69952-3_2
URL : https://hal.archives-ouvertes.fr/hal-00686031
Ecient estimation in conditional single-index regression, J. Multivariate Anal, vol.86, p.213226, 2003. ,
Stochastic Processes, 1953. ,
Théorèmes limites pour des variables quasi-associées hilbertiennes, Ann. I.S.U.P, vol.54, p.5160, 2010. ,
A new weak dependence condition and applications to moment inequalities, Stochastic Processes and their Applications, vol.84, issue.2, p.313342, 1999. ,
DOI : 10.1016/S0304-4149(99)00055-1
Association of Random Variables, with Applications, The Annals of Mathematical Statistics, vol.38, issue.5, p.14661476, 1967. ,
DOI : 10.1214/aoms/1177698701
Mod??le ?? indice fonctionnel simple, Comptes Rendus Mathematique, vol.336, issue.12, 2003. ,
DOI : 10.1016/S1631-073X(03)00239-5
Advances in nonparametric regression for functional variables. Aust. and New Zeal, J. of Statist, vol.49, pp.1-20, 2007. ,
Estimation of a Functional Single Index Model, Recent advences in functional data analysis and related topics. Contribution to statistics. Physica, 2011. ,
DOI : 10.1007/978-3-7908-2736-1_17
URL : https://hal.archives-ouvertes.fr/hal-00794772
Correlation inequalities on some partially ordered sets, Communications in Mathematical Physics, vol.26, issue.Suppl., p.119127, 1971. ,
DOI : 10.1007/BF01651330
Nonparametric estimation of the mode of a distribution of random curves, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.60, issue.4, p.681691, 1998. ,
DOI : 10.1111/1467-9868.00148
Optimal Smoothing in Single-Index Models, The Annals of Statistics, vol.21, issue.1, pp.157-178, 1993. ,
DOI : 10.1214/aos/1176349020
Direct Semiparametric Estimation of Single-Index Models with Discrete Covariates, Journal of the American Statistical Association, vol.56, issue.436, p.16321641, 1996. ,
DOI : 10.2307/2951780
Direct estimation of the index coecient in the single-index model, Ann. Statist, vol.29, p.595623, 2001. ,
Negative association of random variables, with applications, Ann. Statist, vol.11, 1983. ,
An exponential inequality under weak dependence, Bernoulli, vol.12, issue.2, p.333350, 2006. ,
DOI : 10.3150/bj/1145993977
Nonparametric regression estimation for dependent functional data: asymptotic normality, Stochastic Processes and their Applications, vol.115, issue.1, p.155177, 2005. ,
DOI : 10.1016/j.spa.2004.07.006
A note on the almost sure convergence of sums of negatively dependent random variables, Statistics & Probability Letters, vol.15, issue.3, 1992. ,
DOI : 10.1016/0167-7152(92)90191-7
Asymptotic independence and limit theorems for positively and negatively dependent random variables, Inequalities in Statistics and Probability, p.127140, 1984. ,
DOI : 10.1214/lnms/1215465639
Positively Correlated Normal Variables are Associated, The Annals of Probability, vol.10, issue.2, p.496499, 1982. ,
DOI : 10.1214/aop/1176993872
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176993872
Positive and negative dependence with some statistical applications, p.757788, 1999. ,
Prediction Under Association, Recent Advances in Reliability Theory : Methodology, Practice and Inference. BirkhSauser, 2000. ,
DOI : 10.1007/978-1-4612-1384-0_29
Quasi-association for system of Gaussian vectors, 2002. ,
Functional estimation for mixing time series, C. Acad. Sci. Paris, vol.317, issue.405408, 1993. ,
Weak dependence beyond mixing and asymptotics for nonparametric
regression, The Annals of Statistics, vol.30, issue.2, 2002. ,
DOI : 10.1214/aos/1021379859
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1021379859
On robust nonparametric regression estimation for a functional regressor, Statistics & Probability Letters, vol.78, issue.18, p.3221, 2008. ,
DOI : 10.1016/j.spl.2008.06.018
URL : https://hal.archives-ouvertes.fr/hal-00510975
Statistical Theory of Reliability and Life Testing. Probability Models, 1981. ,
Robust nonparametric regression estimation, Journal of Multivariate Analysis, vol.29, issue.2, 1989. ,
DOI : 10.1016/0047-259X(89)90023-7
Nonparametric statistics for stochastic process : Estimation and prediction, 1998. ,
Inference and prediction in large dimensions, 2007. ,
DOI : 10.1002/9780470724033
Asymptotical behaviour of some functionals of positively and negatively dependent random elds. (in Russian), Fundam. Appl. Math, vol.4, p.479492, 1998. ,
Normal approximation for quasi-associated random elds, Statist. Probab. Lett, vol.54, p.215226, 2001. ,
Limit theorems for associated random elds and related systems, 2007. ,
Strong uniform convergence rates in robust nonparametric time series analysis and prediction: Kernel regression estimation from dependent observations, Stoch. Proc. Appl. 23, p.7789, 1986. ,
DOI : 10.1016/0304-4149(86)90017-7
Coupling for ?-Dependent Sequences and Applications, Journal of Theoretical Probability, vol.3, issue.4, pp.861-885, 2004. ,
DOI : 10.1007/s10959-004-0578-x
Weak dependence, Lecture Notes in Statistics, 2007. ,
DOI : 10.1007/978-0-387-69952-3_2
URL : https://hal.archives-ouvertes.fr/hal-00686031
A new weak dependence condition and applications to moment inequalities, Stochastic Processes and their Applications, vol.84, issue.2, p.313342, 1999. ,
DOI : 10.1016/S0304-4149(99)00055-1
Association of Random Variables, with Applications, The Annals of Mathematical Statistics, vol.38, issue.5, p.14661476, 1967. ,
DOI : 10.1214/aoms/1177698701
Local Polynomial Modeling and its Applications, 1996. ,
Nonparametric curve estimation from time series, Lecture Notes in Statistics, vol.60, 1989. ,
Robust Nonparametric Regression with Simultaneous Scale Curve Estimation, The Annals of Statistics, vol.16, issue.1, p.120135, 1988. ,
DOI : 10.1214/aos/1176350694
Robust Estimation of a Location Parameter, Ann. Math. Statist, vol.35, p.73101, 1964. ,
Negative association of random variables, with applications, Ann. Statist, vol.11, 1983. ,
An exponential inequality under weak dependence, Bernoulli, vol.12, issue.2, p.333350, 2006. ,
DOI : 10.3150/bj/1145993977
ESTIMATION OF THE DENSITY AND THE REGRESSION FUNCTION UNDER MIXING CONDITIONS, Statistics & Risk Modeling, vol.19, issue.1, p.926, 2001. ,
DOI : 10.1524/strm.2001.19.1.9
Weak and strong uniform consistency of kernel regression estimates, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.26, issue.No. 2, pp.61-105115, 1992. ,
DOI : 10.1007/BF00539840
Recursive probability density estimation for weakly dependent stationary processes IEEE, Trans. Inform. Theory, vol.32, p.254267, 1986. ,
Multivariate probability density estimation for associated processes: strong consistency and rates, Statistics & Probability Letters, vol.58, issue.2, 2002. ,
DOI : 10.1016/S0167-7152(02)00105-0
Asymptotic independence and limit theorems for positively and negatively dependent random variables, IMS Lect. NotesMonographs Series, vol.5, p.127140, 1984. ,
DOI : 10.1214/lnms/1215465639
URL : http://projecteuclid.org/download/pdf_1/euclid.lnms/1215465639
Positively Correlated Normal Variables are Associated, The Annals of Probability, vol.10, issue.2, p.496499, 1982. ,
DOI : 10.1214/aop/1176993872
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176993872
Kernel estimates under association: strong uniform consistency, Statistics & Probability Letters, vol.12, issue.5, p.215224, 1991. ,
DOI : 10.1016/0167-7152(91)90028-P
Curve estimation in random elds of associated processes, J. Nonparametric Statist, vol.2, p.215224, 1993. ,
Prediction Under Association, Recent Advances in Reliability Theory : Methodology, Practice and Inference. BirkhSauser, 2000. ,
DOI : 10.1007/978-1-4612-1384-0_29
Quasi-association for system of Gaussian vectors, 2002. ,