Semi-parametric estimation of shifts

Electronic Journal of Statistics

Volumn 1, Issue , 2007, Pages 616-640

  Gamboa, Fabrice ^a   Loubes, Jean Michel ^a   Maza, Elie ^b  

^a CNRS   (France)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Empirical process; Fourier transform; M estimation; Semi parametric estimation

Indexed keywords

EID: 84859495083     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/07-EJS026     Document Type: Article

References (21)

1. I. Castillo and J-M. Loubes. Semiparametric estimation of random shifts. Prépublications de l’université Paris Sud 31-2005, 2005.
2. D. Chafai and J-M. Loubes. Nonparametric maximum likelihood estimator for a certain class of inverse problems. Statistics and Probability Letters, 2006.
3. A.S. Dalalyan, G.K. Golubev, and A.B. Tsybakov. Penalized maximum likelihood and semiparametric second-order efficiency. Ann. Statist., 34:169-201, 2006.
4. q-error. Probab. Theory Related Fields, 99(2):277-303, 1994.
5. T. Gasser and A. Kneip. Searching for structure in curve samples. J. Amer. Statist. Assoc., 90:1179-1188, 1995.
6. E. Gassiat and C. Lévy-Leduc. Efficient semi-parametric estimation of the periods in a superposition of periodic functions with unknown shape. preprint, 2003.
7. G. Golubev. Estimation of the period of a signal with an unknown form against a white. Problemy Peredachi Informatsii, 24:38-52, 1988.
8. W. Härdle and J. S. Marron. Semiparametric comparison of regression curves. Ann. Statist., 18(1):63-89, 1990.
9. C. Ke and Y. Wang. Semiparametric nonlinear mixed-effects models and their applications. J. Amer. Statist. Assoc., 96(456):1272-1298, 2001. With comments and a rejoinder by the authors.
10. A. Kneip and J. Engel. Model estimation in nonlinear regression under shape invariance. Ann. Statist., 23(2):551-570, 1995.
11. A. Kneip, X. Li, K.B. MacGibbon, and J.O. Ramsay. Curve registration by local regression. Canad. J. Statist., 28(1):19-29, 2000.
12. W.H. Lawton, E.A. Sylvestre, and M.S. Maggio. Self-modeling regression. Technometrics., 14:513-532, 1972.
13. M. Lindstrom. Self modeling with random scale and shift parameters and a free-knot spline shape function. Statistics in Medicine, 14:2009-2021, 1995.
14. J-M. Loubes, E. Maza, M. Lavielle, and L. Rodriguez. Road trafficking description and short term travel time forecasting, with a classification method. Canadian Journal of Statistics, 34,(3):1-17, 2006.
15. M. Piccioni, S. Scarlatti, and A. Trouvé. A variational problem arising from speech recognition. SIAM J. Appl. Math., 58(3):753-771 (electronic), 1998.
16. J.O. Ramsay and X. Li. Curve registration. J. R. Stat. Soc. Ser. B Stat. Methodol., 60(2):351-363, 1998.
17. C. Rao. Some statistical methods for the comparison of growth curves. Biometrics, 14:1-17, 1958.
18. J.A. Rice and B.W. Silverman. Estimating the mean and covariance structure nonparametrically when the data are curves. J. Roy. Statist. Soc. Ser. B, 53(1):233-243, 1991.
19. A.W. van der Vaart. Asymptotic statistics. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge, 1998.
20. M. Vimond. Efficient estimation for homothetic shifted regression models. Preprint-Toulouse, 2006.
21. K. Wang and T. Gasser. Synchronizing sample curves nonparametrically. Ann. Statist., 27(2):439-460, 1999.