Functional linear discriminant analysis for irregularly sampled curves

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 63, Issue 3, 2001, Pages 533-550

  James, Gareth M ^a   Hastie, Trevor J ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b University of Southern California ^*

Author keywords

Classification; Filtering; Functional data; Linear discriminant analysis; Low dimensional representation; Reduced rank; Regularized discriminant analysis; Sparse curves

Indexed keywords

EID: 0035535702     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00297     Document Type: Article

References (19)

1. Anderson, T. W. (1951) Estimating linear restrictions on regression coefficients for multivariate normal distributions. Ann. Math. Statist., 22, 327-351.
2. Bachrach, L. K., Hastie, T. J., Wang, M. C., Narasimhan, B. and Marcus, R. (1999) Bone mineral acquisition in healthy Asian, Hispanic, Black and Caucasian youth; a longitudinal study. J. Clin. Endocrin. Metablsm, 84, 4702-4712.
3. de Boor, C. (1978) A Practical Guide to Splines. New York: Springer.
4. Campbell, N. A. (1980) Shrunken estimators in discriminant and canonical variate analysis. Appl. Statist., 29, 5-14.
5. Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977) Maximum likelihood from incomplete data via the EM algorithm. J. R. Statist. Soc. B, 39, 1-22.
6. DiPillo, P. J. (1976) The application of bias to discriminant analysis. Communs Statist. Theory Meth., 5, 843-854.
7. -(1979) Biased discriminant analysis: evaluation of the optimum probability of classification. Communs Statist. Theory Meth., 8, 1447-1457.
8. Fisher, R. A. (1936) The use of multiple measurements in taxonomic problems. Ann. Eugen., 7, 179-188.
9. Friedman, J. H. (1989) Regularized discriminant analysis. J. Am. Statist. Ass., 84, 165-175.
10. Green, P. J. and Silverman, B. W. (1994) Nonparametric Regression and Generalized Linear Models: a Roughness Penalty Approach. London: Chapman and Hall.
11. Hastie, T. J., Buja, A. and Tibshirani, R. J. (1995) Penalized discriminant analysis. Ann. Statist., 23, 73-102.
12. Hastie, T. and Tibshirani, R. (1996) Discriminant analysis by Gaussian mixtures. J. R. Statist. Soc. B, 58, 155-176.
13. James, G. M., Hastie, T. J. and Sugar, C. A. (2000) Principal component models for sparse functional data. Biometrika, 87, 587-602.
14. Laird, N. M. and Ware, J. H. (1982) Random-effects models for longitudinal data. Biometrics, 38, 963-974.
15. O'Sullivan, F. (1985) A statistical perspective on ill-posed inverse problems. Statist. Sci., 1, 502-527.
16. Ramsay, J. O. and Silverman, B. W. (1997) Functional Data Analysis. New York: Springer.
17. Rice, J. A. and Wu, C. O. (2001) Nonparametric mixed effects models for unequally sampled noisy curves. Biometrics, 57, 253-259.
18. Titterington, D. M. (1985) Common structure of smoothing techniques in statistics. Int. Statist. Rev., 53, 141-170.
19. Wald, P. W. and Kronmal, R. A. (1977) Discriminant functions when covariances are unequal and sample sizes moderate. Biometrics, 33, 479-484.