Estimating the covariance function with functional data

British Journal of Mathematical and Statistical Psychology

Volumn 55, Issue 2, 2002, Pages 247-261

  Lee, Sik Yum ^a   Zhang, Wenyang ^b   Song, Xin Yuan ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b LONDON SCHOOL OF ECONOMICS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HUMAN; METHODOLOGY; PSYCHOLOGICAL MODEL; SOCIAL BEHAVIOR; TEACHING;

HUMANS; MODELS, PSYCHOLOGICAL; SOCIAL BEHAVIOR; TEACHING;

EID: 0036832120     PISSN: 00071102     EISSN: None     Source Type: Journal    
DOI: 10.1348/000711002760554570     Document Type: Article

References (30)

1. Baker, C. T. H. (1977). The numerical treatment of integral equations. Oxford: Clarendon Press.
2. Besse, P., Ramsay, J. O. (1986). Principal components analysis of sampled functions. Psychometrika, 51, 285-311.
3. Brumback, B. A., Rice, J. A. (1998). Smoothing spline models for the analysis of nested and crossed samples of curves (with discussion). Journal of the American Statistical Association, 93, 961-994.
4. Castro, P. E., Lawton, W. H., Sylvestre, E. A. (1986). Principal modes of variation for process with continuous sample curves. Technometrics, 28, 329-337.
5. Cheng, M. Y., Fan, J., Marron, J. S. (1997). On automatic boundary corrections. Annals of Statistics, 25, 1691-1708.
6. Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74, 829-836.
7. Donoho, D. L. (1995). Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Applied and Computational Harmonic Analysis, 2, 101-126.
8. Donoho, D. L., Johnstone, I. M. (1995). Adapting to unknown smoothness via wavelet shrinkage. Journal of the American Statistical Association, 90, 1200-1224.
9. Eubank, R. L. (1988). Spline smoothing and nonparametric regression. New York: Marcel Dekker.
10. Fan, J., Gijbels, I. (1995). Data-driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation. Journal of the Royal Statistical Society, Series B, 57, 371-394.
11. Fan, J., Gijbels, I. (1996). Local polynomial modelling and its applications. London: Chapman Hall.
12. Fan, J., Marron, J. S. (1994). Fast implementation of nonparametric curve estimator. Journal of Computational and Graphical Statistics, 3, 35-56.
13. Fan, J., Zhang, W. (1999). Statistical estimation in varying coefficient models. Annals of Statistics, 27, 1491-1518.
14. Green, P. J., Silverman, B. W. (1994). Nonparametric regression and generalized linear models: A roughness penalty approach. London: Chapman Hall.
15. Hart, J. D., Wehrly, T. E. (1986). Kernel regression estimation using repeated measurements data. Journal of the American Statistical Association, 81, 1080-1088.
16. Keller, E., Ostry, D. J. (1983). Computerized measurement of tongue dorsum movements with pulsed-echo ultrasound. Journal of the Acoustical Society of America, 73, 1309-1315.
17. Leurgans, S. E., Moyeed, R. A., Silverman, B. W. (1993). Canonical correlation analysis when the data are curves. Journal of the Royal Statistical Society, Series B, 55, 725-740.
18. Loeve, M. (1963). Probability theory, 3rd ed. Princeton, N.J.: D. Van Nostrand.
19. Mackinnon, D. P., Johnson, C. A., Pentz, M. A., Dwyer, J. H., Hansen, W. B., Flay, B. R., Wang, E. Y.-I. (1991). Mediating mechanism in a school-based drug prevention program: First year effects of the midwestern prevention project. Health Psychology, 10, 164-172.
20. Munhall, K. G. (1984). Temporal adjustment in speech motor control: Evidence from laryngeal kinematics. Unpublished doctoral dissertation, McGill University.
21. Olshen, R. A., Biden, E. N., Wyatt, M. P., Sutherland, D. H. (1989). Gait analysis and the bootstrap. Annals of Statistics, 17, 1419-1440.
22. Ramsay, J. O. (1982). When the data are functions. Psychometrika, 47, 379-396.
23. Ramsay, J. O., Dalzell, C. J. (1991). Some tools for functional data analysis (with discussions). Journal of the Royal Statistical Society, Series B, 53, 539-572.
24. Ramsay, J. O., Silverman, B. W. (1997). Functional data analysis. New York: Springer-Verlag.
25. Ramsay, J. O., Li, X. (1998). Curve registration. Journal of the Royal Statistical Society, Series B, 60, 351-363.
26. Rice, J. A., Silverman, B. W. (1991). Estimating the mean and covariance structure non-parametrically when the data are curves. Journal of the Royal Statistical Society, Series B, 53, 233-243.
27. Ruppert, D., Wand, M. P. (1994). Multivariate weighted least squares regression. Annals of Statistics, 22, 1346-1370.
28. Venables, W. N., Ripley, B. D. (1999). Modern applied statistics with S-PLUS, 3rd ed. New York: Springer-Verlag.
29. Wahba, G. (1990). Spline models for observing data. Philadelphia: Society for Industrial and Applied Mathematics.
30. Zhang, W., Lee, S.-Y. (2000). Variable bandwidth selection in varying coefficient models. Journal of Multivariate Analysis, 74, 116-134.