Synchronizing sample curves nonparametrically

Annals of Statistics

Volumn 27, Issue 2, 1999, Pages 439-460

  Wang, Kongming ^a   Gasser, Theo ^b  

^a Department of Psychiatry   (United States)

^b UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Curves; Dynamic time warping; Kernel estimation; Structural analysis; Warping functions

Indexed keywords

EID: 0033471035     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1018031202     Document Type: Article

References (20)

1. FAN, J. (1992). Design-adaptive nonparametric regression. J. Amer. Statist. Assoc. 87 998-1004.
2. GASSER, T. and KNEIP, A. (1995). Searching for structure in curve samples. J. Amer. Statist. Assoc. 90 1179-1188.
3. GASSER, T., KNEIP, A., BINDING, A., PRADER, A. and MOLINARI, L. (1991). The dynamics of linear growth in distance, velocity and acceleration. Ann. Human Biology 18 187-205.
4. GASSER, T., KNEIP, A. and KÖHLER, W. (1991). A flexible and fast method for automatic smoothing. J. Amer. Statist. Assoc. 86 643-652.
5. GASSER, T., KNEIP, A., ZIEGER, P., MOLINARI, L., PRADER, A. and LARGO, R. (1994). Development and outcome of indices of obesity in normal children. Ann. Human Biology 21 275-286.
6. GASSER, T. and MÜLLER, H. (1984). Estimating regression functions and their derivatives by the kernel method. Scand. J. Statist. 11 171-185.
7. KNEIP, A. and ENGEL, J. (1995). Model estimation in nonlinear regression under shape invariance. Ann. Statist. 23 551-570.
8. KNEIP, A. and GASSER, T. (1988). Convergence and consistency results for self-modeling nonlinear regression. Ann. Statist. 16 82-112.
9. KNEIP, A. and GASSER, T. (1992). Statistical tools to analyze data representing a sample of curves. Ann. Statist. 20 1266-1305.
10. LAWTON, W. H., SYLVESTRE, E. A. and MAGGO, M. S. (1972). Self-modeling regression. Technometrics 14 513-532.
11. PARSONS, T. (1986). Voice and Speech Processing. McGraw-Hill, New York.
12. QI, Y. (1992). Time normalization in voice analysis. J. Acoust. Soc. Amer. 92 2569-2576.
13. RAMSAY, J. and LI, X. (1998). Curve registration. J. Roy. Statist. Soc. Ser. B 60 351-363.
14. RAMSAY, J. and SILVERMAN, B. (1997). Functional Data Analysis. Springer, New York.
15. RAO, C. (1958). Some statistical methods for the comparison of growth curves. Biometrics 14 1-17.
16. RICE, J. and SILVERMAN, B. (1991). Estimating the mean and covariance structure nonparametrically when data are curves. J. Roy. Statist. Soc. Ser. B 53 233-243.
17. SAKOE, H. and CHIBA, S. (1978). Dynamic programming algorithm optimization for spoken word recognition. IEEE Trans. Acoustics, Speech, and Signal Processing 26 43-49.
18. SILVERMAN, B. (1995). Incorporating parametric effects into functional principal components analysis. J. Roy. Statist. Soc. Ser. B 57 673-689.
19. STÜTZLE, W., GASSER, T., MOLINARI, L., LARGO, R., PRADER, A. and HUBER, P. (1980). Shape-invariant modeling of human growth. Ann. Human Biology 7 507-528.
20. WANG, K. and GASSER, T. (1997). Alignment of curves by dynamic time warping. Ann. Statist. 25 1251-1276.