J. Bigot, A scale-space approach with wavelets to singularity estimation, ESAIM: Probability and Statistics, vol.9, pp.143-164, 2005.
DOI : 10.1051/ps:2005007
URL : https://hal.archives-ouvertes.fr/hal-00837732

P. Billingsley, Convergence of Probability Measures, 1968.
DOI : 10.1002/9780470316962

J. Bouroche and G. Saporta, L'analyse des données. Que Sais-Je?, 1980.

F. Gamboa, J. Loubes, and E. Maza, Semi-parametric estimation of shifts, Electronic Journal of Statistics, vol.1, issue.0, pp.616-640, 2007.
DOI : 10.1214/07-EJS026
URL : https://hal.archives-ouvertes.fr/hal-00347905

D. Gervini and T. Gasser, Nonparametric maximum likelihood estimation of the structural mean of a sample of curves, Biometrika, vol.92, issue.4, pp.801-820, 2005.
DOI : 10.1093/biomet/92.4.801

A. Kneip and T. Gasser, Statistical Tools to Analyze Data Representing a Sample of Curves, The Annals of Statistics, vol.20, issue.3, pp.1266-1305, 1992.
DOI : 10.1214/aos/1176348769

A. Kneip, X. Li, K. B. Macgibbon, and J. O. Ramsay, Curve registration by local regression, Canadian Journal of Statistics, vol.28, issue.1, pp.19-29, 2000.
DOI : 10.2307/3315251.n
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.5833

M. Ledoux and M. Talagrand, Probability in Banach Spaces Isoperimetry and processes, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas, 1991.

X. Liu and H. Müller, Functional Convex Averaging and Synchronization for Time-Warped Random Curves, Journal of the American Statistical Association, vol.99, issue.467, pp.687-699, 2004.
DOI : 10.1198/016214504000000999

J. Loubes, É. Maza, M. Lavielle, and L. Rodríguez, Road trafficking description and short term travel time forecasting, with a classification method, Canadian Journal of Statistics, vol.53, issue.3, pp.475-491, 2006.
DOI : 10.1002/cjs.5550340307

J. O. Ramsay and X. Li, Curve registration, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.60, issue.2, pp.351-363, 1998.
DOI : 10.1111/1467-9868.00129

J. O. Ramsay and B. W. Silverman, Applied Functional Data Analysis Springer Series in Statistics Methods and case studies Rønn, B.B.: Nonparametric maximum likelihood estimation for shifted curves, Real and Complex Analysis, pp.243-259, 1987.

H. Sakoe, S. A. Chiba, and J. A. Wellner, Dynamic programming algorithm optimization for spoken word recognition Asymptotic Statistics. Cambridge Series in Statistical and Probabilistic Mathematics, Weak Convergence and Empirical Processes, pp.43-49, 1978.

K. Wang and T. Gasser, Synchronizing sample curves nonparametrically, Ann. Stat, vol.27, issue.2, pp.439-460, 1999.