Strong convergence of robust equivariant nonparametric functional regression estimators
Robust nonparametric equivariant M-estimators for the regression function have been extensively studied when the covariates are in Rk. In this paper, we derive strong uniform convergence rates for kernel-based robust equivariant M-regression estimator when the covariates are functional. © 2015 Elsev...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Elsevier
2015
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 06396caa a22006617a 4500 | ||
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| 001 | PAPER-13447 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204348.0 | ||
| 008 | 190411s2015 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84922978064 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a SPLTD | ||
| 100 | 1 | |a Boente, G. | |
| 245 | 1 | 0 | |a Strong convergence of robust equivariant nonparametric functional regression estimators |
| 260 | |b Elsevier |c 2015 | ||
| 270 | 1 | 0 | |m Boente, G.; Departamento de Matemáticas, FCEyN, UBA, Ciudad Universitaria, Pabellón 1, Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Attouch, M., Laksaci, A., Ould-Said, E., Asymptotic distribution of robust estimators for functional nonparametric models (2009) Comm. Statist. Theory Methods, 38, pp. 1317-1335 | ||
| 504 | |a Azzedine, N., Laksaci, A., Ould-Said, E., On robust nonparametric regression estimation for a functional regressor (2008) Statist. Probab. Lett., 78, pp. 3216-3221 | ||
| 504 | |a Boente, G., Fraiman, R., Robust nonparametric regression estimation for dependent observations (1989) Ann. Statist., 17, pp. 1242-1256 | ||
| 504 | |a Boente, G., Fraiman, R., Strong uniform convergence rates for some robust equivariant nonparametric regression estimates for mixing processes (1991) Int. Stat. Inst., 59, pp. 355-372 | ||
| 504 | |a Bogachev, V.I., Gaussian Measures (1999) Mathematical Surveys and Monographs, 62. , American Mathematical Society | ||
| 504 | |a Burba, F., Ferraty, F., Vieu, P., K-nearest neighbour method in functional nonparametric regression (2009) J. Nonparametr. Stat., 21, pp. 453-469 | ||
| 504 | |a Cadre, B., Convergent estimators for the L1-median of a Banach valued random variable (2001) Statistics, 35, pp. 509-521 | ||
| 504 | |a Chen, X., Li, W.V., Quadratic functionals and small ball probabilities for the m-fold integrated Brownian motion (2003) Ann. Probab., 31, pp. 1052-1077 | ||
| 504 | |a Collomb, G., Prédiction non paramétrique: étude de l'erreur quadratique du prédictogramme (1982) C. R. Acad. Sci., Paris I, 294, pp. 59-62 | ||
| 504 | |a Collomb, G., Härdle, W., Strong uniform convergence rates in robust nonparametric time series analysis and prediction: kernel regression estimation from dependent observations (1986) Stochastic Process. Appl., 23, pp. 77-89 | ||
| 504 | |a Crambes, C., Delsol, L., Laksaci, A., Robust nonparametric estimation for functional data (2008) International Workshop on Functional and Operatorial Statistics 2008 Proceedings, Functional and Operatorial Statistics, , Physica-Verlag, Springer, Dabo-Niang, Ferraty (Eds.) | ||
| 504 | |a Ferraty, F., Laksaci, A., Vieu, P., Estimating some characteristics of the conditional distribution in nonparametric functional models (2006) Stat. Inference Stoch. Process., 9, pp. 47-76 | ||
| 504 | |a Ferraty, F., Laksaci, A., Vieu, P., Rate of uniform consistency for nonparametric estimates with functional variables (2010) J. Statist. Plann. Inference, 140, pp. 335-352 | ||
| 504 | |a Ferraty, F., Romain, Y., (2011) The Oxford Handbook of Functional Data Analysis, , Oxford University Press | ||
| 504 | |a Ferraty, F., Vieu, P., Nonparametric models for functional data, with application in regression, time-series prediction and curve discrimination (2004) J. Nonparametr. Stat., 16, pp. 111-125 | ||
| 504 | |a Ferraty, F., Vieu, P., Nonparametric Functional Data Analysis: Theory and Practice (2006) Springer Series in Statistics, , Springer, New York | ||
| 504 | |a Härdle, W., (1990) Applied Nonparametric Regression, , Cambridge University Press | ||
| 504 | |a Huber, P.J., Robust estimation of a location parameter (1964) Ann. Math. Statist., 35, pp. 73-101 | ||
| 504 | |a Kolmogorov, A.N., Asymptotic characteristics of some completely bounded metric spaces (1956) Dokl. Akad. Nauk SSSR, 108, pp. 585-589 | ||
| 504 | |a Li, W.V., Shao, Q.M., Small ball estimates for Gaussian processes under Sobolev type norms (1999) J. Theoret. Probab., 12, pp. 699-720 | ||
| 504 | |a Li, W.V., Shao, Q.M., Gaussian processes: inequalities, small ball probabilities and applications (2001) Stochastic Processes: Theory and Methods, Handbook of Statistics, vol. 19, pp. 533-597. , North-Holland, Amsterdam, C.R. Rao, D. Shanbhag (Eds.) | ||
| 504 | |a Maronna, R., Martin, R., Yohai, V., (2006) Robust Statistics, Theory and Methods, , John Wiley & Sons, Ltd | ||
| 504 | |a Ramsay, J., Silverman, B., (2002) Applied Functional Data Analysis: Methods and Case Studies, , Springer | ||
| 504 | |a Ramsay, J., Silverman, B., Functional Data Analysis (2005) Springer Series in Statistics | ||
| 504 | |a van de Geer, S., (2000) Empirical Processes in M-Estimation, , Cambridge University Press | ||
| 520 | 3 | |a Robust nonparametric equivariant M-estimators for the regression function have been extensively studied when the covariates are in Rk. In this paper, we derive strong uniform convergence rates for kernel-based robust equivariant M-regression estimator when the covariates are functional. © 2015 Elsevier B.V. |l eng | |
| 593 | |a Departamento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IMAS, CONICET, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina | ||
| 593 | |a Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional de La Plata and CONICET, Calle, La Plata, 50 y 115, Argentina | ||
| 690 | 1 | 0 | |a FUNCTIONAL DATA |
| 690 | 1 | 0 | |a KERNEL WEIGHTS |
| 690 | 1 | 0 | |a M-LOCATION FUNCTIONALS |
| 690 | 1 | 0 | |a ROBUST ESTIMATION |
| 700 | 1 | |a Vahnovan, A. | |
| 773 | 0 | |d Elsevier, 2015 |g v. 100 |h pp. 1-11 |p Stat. Probab. Lett. |x 01677152 |w (AR-BaUEN)CENRE-6916 |t Statistics and Probability Letters | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84922978064&doi=10.1016%2fj.spl.2015.01.028&partnerID=40&md5=fbe39aa43a9b5cdbe62430f782779efe |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.spl.2015.01.028 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_01677152_v100_n_p1_Boente |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v100_n_p1_Boente |y Registro en la Biblioteca Digital |
| 961 | |a paper_01677152_v100_n_p1_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 74400 | ||