Kernel-based functional principal components
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.
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2000
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| Acceso en línea: | Registro en Scopus Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 03766caa a22004937a 4500 | ||
|---|---|---|---|
| 001 | PAPER-2318 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203143.0 | ||
| 008 | 140217s2000 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0010741912 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a SPLTD | ||
| 100 | 1 | |a Boente, G. | |
| 245 | 1 | 0 | |a Kernel-based functional principal components |
| 260 | |c 2000 | ||
| 270 | 1 | 0 | |m Boente, G.; Departamento de Matemática, Fac. de Ciencias Exactas Y Naturales, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Besse, P., Ramsay, J.O., Principal component analysis of sampled functions (1986) Psychometrika, 51, pp. 285-311 | ||
| 504 | |a 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 | ||
| 504 | |a Fraiman, R., Pérez Iribarren, G., Nonparametric regression estimation in models with weak error's structure (1991) J. Multivariate Anal., 21, pp. 180-196 | ||
| 504 | |a Hart, J.D., Wehrly, T.E., Kernel regression estimation using repeated measurements data (1986) J. Amer. Statist. Assoc., 81, pp. 1080-1088 | ||
| 504 | |a 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 | ||
| 504 | |a Ramsay, J.O., When the data are functions (1982) Psychometrika, 47, pp. 379-396 | ||
| 504 | |a 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 | ||
| 504 | |a Ramsay, J.O., Silverman, B.W., (1997) Functional Data Analysis. Springer Series in Statistics, , New York: Springer | ||
| 504 | |a 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 | ||
| 504 | |a Riesz, F., Nagy, B., (1965) Lecons d'Analyse Functionelle, , Paris: Gauthiers-Villars | ||
| 504 | |a Silverman, B.W., Smoothed functional principal components analysis by choice of norm (1996) Ann. Statist., 24, pp. 1-24 | ||
| 504 | |a Yurinskii, V.V., Exponential inequalities for sums of random vectors (1976) J. Multivariate Anal., 6, pp. 473-499 | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Matemática, Fac. de Ciencias Exactas Y Naturales, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina | ||
| 690 | 1 | 0 | |a 62H25 |
| 690 | 1 | 0 | |a EIGENFUNCTIONS |
| 690 | 1 | 0 | |a FUNCTIONAL PRINCIPAL COMPONENTS |
| 690 | 1 | 0 | |a KERNEL METHODS* HILBERT-SCHMIDT OPERATORS |
| 690 | 1 | 0 | |a PRIMARY 62G07 |
| 700 | 1 | |a Fraiman, R. | |
| 773 | 0 | |d 2000 |g v. 48 |h pp. 335-345 |k n. 4 |p Stat. Probab. Lett. |x 01677152 |w (AR-BaUEN)CENRE-6916 |t Statistics and Probability Letters | |
| 856 | 4 | 1 | |u http://www.scopus.com/inward/record.url?eid=2-s2.0-0010741912&partnerID=40&md5=b7e6698950ec8a2cbf577cfd7c3a195c |y Registro en Scopus |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_01677152_v48_n4_p335_Boente |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v48_n4_p335_Boente |y Registro en la Biblioteca Digital |
| 961 | |a paper_01677152_v48_n4_p335_Boente |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 63271 | ||