The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Functional Linear Discriminant Analysis for Irregularly Sampled Curves
Abstract
Summary: We introduce a technique for extending the classical method of linear discriminant analysis (LDA) to data sets where the predictor variables are curves or functions. This procedure, which we call functional linear discriminant analysis (FLDA), is particularly useful when only fragments of the curves are observed. All the techniques associated with LDA can be extended for use with FLDA. In particular FLDA can be used to produce classifications on new (test) curves, give an estimate of the discriminant function between classes and provide a one- or two-dimensional pictorial representation of a set of curves. We also extend this procedure to provide generalizations of quadratic and regularized discriminant analysis.
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Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS
FISHER, R. A. (1936) · Annals of Eugenics · doi:10.1111/j.1469-1809.1936.tb02137.x · Cited by 15,227
de Boor, C. (1978) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-6333-3 · Cited by 11,944
Random-Effects Models for Longitudinal Data
Laird, N. M., & Ware, J. H. (1982) · Biometrics · doi:10.2307/2529876 · Cited by 8,923
Regularized Discriminant Analysis
Friedman, J. H. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478752 · Cited by 2,421
Marron, J. S., Ramsey, J. O., & Silverman, B. W. (1998) · Journal of the American Statistical Association · doi:10.2307/2669864 · Cited by 1,403
Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach.
Best, D. J., Green, P. J., & Silverman, B. W. (1994) · Biometrics · doi:10.2307/2533467 · Cited by 1,177
Muraki, E., Ramsay, J. O., & Silverman, B. W. (1999) · Journal of Educational and Behavioral Statistics · doi:10.2307/1165264 · Cited by 1,013
Penalized Discriminant Analysis
Hastie, T., Buja, A., & Tibshirani, R. (1995) · The Annals of Statistics · doi:10.1214/aos/1176324456 · Cited by 849
Self-citationEstimating Linear Restrictions on Regression Coefficients for Multivariate Normal Distributions
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Cited by
Modeling and predicting osteoarthritis progression: data from the osteoarthritis initiative
Halilaj, E., Le, Y., Hicks, J. L., Hastie, T. J., & Delp, S. L. (2018) · Osteoarthritis and Cartilage · doi:10.1016/j.joca.2018.08.003 · Cited by 95
Self-citation
Metadata
- Authors
- James, G. M., & Hastie, T. J.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 2001-09-01
- Volume
- 63
- Issue
- 3
- Pages
- 533-550
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W1984080040
- Cited by
- 310
- References
- 16
- FWCI
- 5.32
- Type
- journal article
- Language
- en
- Open access
- closed
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