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5.7 Further reading and notes
Atteia, M. (1965) Spline-fonctions généralisées. Comptes Rendus de l’Académie des Sciences Série I: Mathématique, 261, 2149–2152.
Besse, P. (1979) Etude descriptive des processus: Approximation et interpolation. Thèse de troisième cycle, Université Paul-Sabatier, Toulouse.
Besse, P. and Ramsay, J. O. (1986) Principal components analysis of sampled functions. Psychometrika, 51, 285–311.
Besse, P. (1980) Deux exemples d’analyses en composantes principales filtrantes. Statistique et Analyse des Données, 3, 5–15.
Besse, P. (1988) Spline functions and optimal metric in linear principal component analysis. In J. L. A. van Rijkevorsel and J. de Leeuw (eds.) Component and Correspondence Analysis: Dimensional Reduction by Functional Approximation. New York: Wiley.
Ramsay, J. O. and Dalzell, C. J. (1991) Some tools for functional data analysis (with Discussion). Journal of the Royal Statistical Society, Series B, 53, 539–572.
Dauxois, J. and Pousse, A. (1976) Les analyses factorielles en calcul des probabilit é et en statistique: Essai d’étude synthètique. Thèse d’état, Université Paul-Sabatier, Toulouse.
Dauxois, J., Pousse, A. and Romain, Y. (1982) Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference. Journal of Multivariate Analysis, 12, 136–154.
Eilers, P. H. C. and Marx, B. D. (1996) Flexible smoothing with B-splines and penalties, with comments. Statistical Science, 11, 89–121.
Green, P. J. and Silverman, B. W. (1994) Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach. London: Chapman and Hall.
Gu, C. (2002) Smoothing Spline ANOVA Models. New York: Springer.
Largo, R. H., Gasser, T., Prader, A., Stützle, W. and Huber, P. J. (1978) Analysis of the adolescent growth spurt using smoothing spline functions. Annals of Human Biology, 5, 421–434.
O’Sullivan, F. (1986) A statistical perspective on ill-posed linear inverse problems. Statistical Science, 1, 502–527.
O’Sullivan, F., Yandell, B. and Raynor, W. (1986) Automatic smoothing of regression functions in generalized linear models. Journal of the American Statistical Association, 81, 441–455.
Wahba, G. (1990) Spline Models for Observational Data. Philadelphia: Society for Industrial and Applied Mathematics
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(2005). Smoothing functional data with a roughness penalty. In: Functional Data Analysis. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/0-387-22751-2_5
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