Artículo
Boente, G.; Fraiman, R. "Kernel-based functional principal components" (2000) Statistics and Probability Letters. 48(4):335-345
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Abstract:
In this paper, we propose kernel-based smooth estimates of the functional principal components when data are continuous trajectories of stochastic processes. Strong consistency and the asymptotic distribution are derived under mild conditions. © 2000 Elsevier Science B.V.
Registro:
| Documento: | Artículo |
| Título: | Kernel-based functional principal components |
| Autor: | Boente, G.; Fraiman, R. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas Y Naturales, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina |
| Idioma: | Inglés |
| Palabras clave: | 62H25; Eigenfunctions; Functional principal components; Kernel methods* Hilbert-Schmidt operators; Primary 62G07 |
| Año: | 2000 |
| Volumen: | 48 |
| Número: | 4 |
| Página de inicio: | 335 |
| Página de fin: | 345 |
| Título revista: | Statistics and Probability Letters |
| Título revista abreviado: | Stat. Probab. Lett. |
| ISSN: | 01677152 |
| CODEN: | SPLTD |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v48_n4_p335_Boente |
Referencias:
- Besse, P., Ramsay, J.O., Principal component analysis of sampled functions (1986) Psychometrika, 51, pp. 285-311
- Dauxois, J., Pousse, A., Romain, Y., Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference (1982) J. Multivariate Anal., 12, pp. 136-154
- Fraiman, R., Pérez Iribarren, G., Nonparametric regression estimation in models with weak error's structure (1991) J. Multivariate Anal., 21, pp. 180-196
- Hart, J.D., Wehrly, T.E., Kernel regression estimation using repeated measurements data (1986) J. Amer. Statist. Assoc., 81, pp. 1080-1088
- Pezzulli, S.D., Silverman, B.W., Some properties of smoothed principal components analysis for functional data (1993) Comput. Statist. Data Anal., 8, pp. 1-16
- Ramsay, J.O., When the data are functions (1982) Psychometrika, 47, pp. 379-396
- Ramsay, J.O., Dalzell, C.J., Some tools for functional data analysis (with discussion) (1991) J. Roy. Statist. Soc. Ser. B, 53, pp. 539-572
- Ramsay, J.O., Silverman, B.W., (1997) Functional Data Analysis. Springer Series in Statistics, , New York: Springer
- Rice, J., Silverman, B.W., Estimating the mean and covariance structure nonparametrically when the data are curves (1991) J. Roy. Statist. Soc. Ser. B, 53, pp. 233-243
- Riesz, F., Nagy, B., (1965) Lecons d'Analyse Functionelle, , Paris: Gauthiers-Villars
- Silverman, B.W., Smoothed functional principal components analysis by choice of norm (1996) Ann. Statist., 24, pp. 1-24
- Yurinskii, V.V., Exponential inequalities for sums of random vectors (1976) J. Multivariate Anal., 6, pp. 473-499
Citas:
---------- APA ----------
Boente, G. & Fraiman, R. (2000) . Kernel-based functional principal components. Statistics and Probability Letters, 48(4), 335-345.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v48_n4_p335_Boente [ ]
---------- CHICAGO ----------
Boente, G., Fraiman, R. "Kernel-based functional principal components" . Statistics and Probability Letters 48, no. 4 (2000) : 335-345.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v48_n4_p335_Boente [ ]
---------- MLA ----------
Boente, G., Fraiman, R. "Kernel-based functional principal components" . Statistics and Probability Letters, vol. 48, no. 4, 2000, pp. 335-345.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v48_n4_p335_Boente [ ]
---------- VANCOUVER ----------
Boente, G., Fraiman, R. Kernel-based functional principal components. Stat. Probab. Lett. 2000;48(4):335-345.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v48_n4_p335_Boente [ ]
