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Principal components analysis for functional data

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Functional Data Analysis

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8.6 Further readings and notes

  • Abraham, C., Cornillion, P. A., Matzner-Lober, E. and Molinari, N. (2003) Unsupervised curve-clustering using b-splines. Scandinavian Journal of Statistics, 30, 581–595.

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  • Besse, P., Cardot, H. and Ferraty, F. (1997). Simultaneous nonparametric regressions of unbalanced longitudinal data. Computational Statistics and Data Analysis, 24, 255–270.

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  • Cardot, H. (2004) Nonparametric estimation of smoothed principal components analysis of sampled noisy functions. Journal of Nonparametric Statistics, to appear.

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  • James, G. M. and Sugar, C. A. (2003) Clustering sparsely sampled functional data. Journal of the Americal Statistical Association, 98, 397–408.

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  • James, G. M., Hastie, T. J. and Sugar, C. A. (2000) Principal component models for sparse functional data, Biometrika, 87, 587–602.

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  • Kneip, A. and Utikal, K. J. (2001) Inference for density families using functional principal components analysis. Journal of the Americal Statistical Association, 96, 519–542.

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  • Liggett, W., Cazares, L. and Semmes, O. J. (2003) A look at mass spectral measurement. Chance, 16, 24–28.

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  • Locantore, N., Marron, J. S., Simpson, D. G., Tripoli, N., Zhang, J. T. and Cohen, K. L. (1999) Robust principal component analysis for functional data. Test, 8, 1–73.

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  • Ocaña, F. A., Aguilera, A. M. and Valderrama, M. J. (1999) Functional principal components analysis by choice of norm. Journal of Multivariate Analysis, 71, 262–276.

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  • Tarpey, T. and Kinateder, K. K. J. (2003) Clustering functional data. Journal of Classification, 20, 93–114.

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  • Valderrama, M. J., Aguilera, A. M. and Ocaña, F. A. (2000) Predicción Dinámica Mediante Análisis de Datos Funcionales. Madrid: Hespérides.

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  • Viviani, R., Grön, G. and Spitzer, M. (2005) Human Brain Mapping, 24, 109–129.

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  • Yao, F., Müller, H.-G. and Wang, J.-L. (2004) Functional data analysis for sparse longitudinal data. Journal of the American Statistical Association, to appear.

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(2005). Principal components analysis for functional data. In: Functional Data Analysis. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/0-387-22751-2_8

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