Adaptive tests of linear hypotheses by model selection, Ann. Statist, vol.31, issue.1, pp.225-251, 2003. ,
Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function, The Annals of Statistics, vol.33, issue.1, pp.214-257, 2005. ,
DOI : 10.1214/009053604000000896
URL : https://hal.archives-ouvertes.fr/hal-00756077
Goodness-of-fit testing and quadratic functional estimation from indirect observations, The Annals of Statistics, vol.35, issue.5, pp.1907-1930, 2007. ,
DOI : 10.1214/009053607000000118
URL : https://hal.archives-ouvertes.fr/hal-00204453
Adaptive goodness-of-fit testing from indirect observations, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.45, issue.2, pp.352-372, 2009. ,
DOI : 10.1214/08-AIHP166
URL : https://hal.archives-ouvertes.fr/hal-00591200
Wavelet methods in numerical analysis, Mathematics and its Applications, 2003. ,
DOI : 10.1016/S1570-8659(00)07004-6
Minimax hypothesis testing for curve registration, Electronic Journal of Statistics, vol.6, issue.0, pp.1129-1154, 2012. ,
DOI : 10.1214/12-EJS706
URL : https://hal.archives-ouvertes.fr/hal-00619808
Tight conditions for consistency of variable selection in the context of high dimensionality, The Annals of Statistics, vol.40, issue.5, p.2012 ,
DOI : 10.1214/12-AOS1046SUPP
URL : https://hal.archives-ouvertes.fr/hal-00602211
Wilks' phenomenon and penalized likelihood-ratio test for nonparametric curve registration, J. Mach. Learn. Res. -Proceedings Track, vol.22, pp.264-272, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00705796
A new algorithm for estimating the effective dimension-reduction subspace, J. Mach. Learn. Res, vol.9, pp.1648-1678, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00128129
Minimax quadratic estimation of a quadratic functional, Journal of Complexity, vol.6, issue.3, pp.290-323, 1990. ,
DOI : 10.1016/0885-064X(90)90025-9
On the limit in the equivalence between heteroscedastic regression and filtering model, Statistics & Probability Letters, vol.63, issue.3, pp.239-242, 2003. ,
DOI : 10.1016/S0167-7152(03)00087-7
Minimax detection of a signal in Gaussian white noise, Teor. Veroyatnost. i Primenen, vol.35, issue.4, pp.704-715, 1990. ,
Minimax detection of a signal in weighted Gaussian white noise, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)Veroyatn. i Stat, vol.320, issue.226, pp.54-68, 2004. ,
Nonparametric signal detection with small type I and type II error probabilities, Statistical Inference for Stochastic Processes, vol.25, issue.1, pp.1-19, 2011. ,
DOI : 10.1007/s11203-010-9048-5
On the Estimation of Quadratic Functionals, The Annals of Statistics, vol.19, issue.3, pp.1273-1294, 1991. ,
DOI : 10.1214/aos/1176348249
Optimal rates and adaptation in the single-index model using aggregation, Electronic Journal of Statistics, vol.1, issue.0, pp.538-573, 2007. ,
DOI : 10.1214/07-EJS077
Minimax testing composite null hypotheses in the discrete regression scheme, Math. Methods Statist. Meeting on Mathematical Statistics, vol.10, issue.4, pp.375-394, 2000. ,
Adaptive minimax testing in the discrete regression scheme. Probab. Theory Related Fields, pp.531-558, 2005. ,
Central limit theorem for integrated square error of multivariate nonparametric density estimators, Journal of Multivariate Analysis, vol.14, issue.1, pp.1-16, 1984. ,
DOI : 10.1016/0047-259X(84)90044-7
An Adaptive, Rate-Optimal Test of a Parametric Mean-Regression Model Against a Nonparametric Alternative, Econometrica, vol.69, issue.3, pp.599-631, 2001. ,
DOI : 10.1111/1468-0262.00207
Estimation and detection of functions from anisotropic Sobolev classes, Electronic Journal of Statistics, vol.5, issue.0, pp.484-506, 2011. ,
DOI : 10.1214/11-EJS615
Asymptotically minimax hypothesis testing for nonparametric alternatives, I. Math. Methods Statist, vol.2, issue.2, pp.85-114, 1993. ,
Asymptotically minimax hypothesis testing for nonparametric alternatives, II. Math. Methods Statist, vol.2, issue.3, pp.171-189, 1993. ,
Asymptotically minimax hypothesis testing for nonparametric alternatives, III. Math. Methods Statist, vol.2, issue.4, pp.249-268, 1993. ,
Minimax goodness-of-fit testing in multivariate nonparametric regression, Mathematical Methods of Statistics, vol.18, issue.3, pp.241-269, 2009. ,
DOI : 10.3103/S1066530709030041
Nonparametric goodness-of-fit testing under Gaussian models, Lecture Notes in Statistics, vol.169, 2003. ,
DOI : 10.1007/978-0-387-21580-8
Minimax signal detection in ill-posed inverse problems, The Annals of Statistics, vol.40, issue.3, 2012. ,
DOI : 10.1214/12-AOS1011SUPP
Sur un th??or??me fondamental de la th??orie des jeux [64???52b], C. R. Acad. Sci. Paris, vol.234, pp.2418-2420, 1952. ,
DOI : 10.1515/9783110894516.484
On an embedding of Sobolev spaces, Mathematical Notes, vol.113, issue.No. 4, pp.48-71, 1993. ,
DOI : 10.1007/BF01209556
Testing inverse problems: A direct or an indirect problem?, Journal of Statistical Planning and Inference, vol.141, issue.5, pp.1849-1861, 2011. ,
DOI : 10.1016/j.jspi.2010.11.035
URL : https://hal.archives-ouvertes.fr/hal-00528909
Non asymptotic minimax rates of testing in signal detection with heterogeneous variances, Electronic Journal of Statistics, vol.6, issue.0, pp.91-122, 2012. ,
DOI : 10.1214/12-EJS667
URL : https://hal.archives-ouvertes.fr/hal-00440825
On estimation of the L r norm of a regression function. Probab. Theory Related Fields, pp.221-253, 1999. ,
Optimal filtration of square-integrable signals in Gaussian noise, Problems Inform. Transmission, issue.16, pp.52-68, 1980. ,
An asymptotically optimal test for a parametric set of regression functions against a non-parametric alternative, Journal of Statistical Planning and Inference, vol.98, issue.1-2, pp.177-189, 2001. ,
DOI : 10.1016/S0378-3758(00)00300-1
Component Identification and Estimation in Nonlinear High-Dimensional Regression Models by Structural Adaptation, Journal of the American Statistical Association, vol.100, issue.470, pp.429-445, 2005. ,
DOI : 10.1198/016214504000001529
URL : https://hal.archives-ouvertes.fr/hal-00377568
Adaptive hypothesis testing using wavelets, The Annals of Statistics, vol.24, issue.6, pp.2477-2498, 1996. ,
DOI : 10.1214/aos/1032181163
Introduction to nonparametric estimation, 2009. ,
DOI : 10.1007/b13794