Robust estimators in semi-functional partial linear regression models
Partial linear models have been adapted to deal with functional covariates to capture both the advantages of a semi-linear modelling and those of nonparametric modelling for functional data. It is easy to see that the estimation procedures for these models are highly sensitive to the presence of eve...
Guardado en:
| Autor principal: | |
|---|---|
| Otros Autores: | |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Academic Press Inc.
2017
|
| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 11599caa a22009497a 4500 | ||
|---|---|---|---|
| 001 | PAPER-15228 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204555.0 | ||
| 008 | 190410s2017 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84995406997 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a JMVAA | ||
| 100 | 1 | |a Boente, G. | |
| 245 | 1 | 0 | |a Robust estimators in semi-functional partial linear regression models |
| 260 | |b Academic Press Inc. |c 2017 | ||
| 270 | 1 | 0 | |m Boente, G.; Departamento de Matemáticas, FCEyN, UBA, Ciudad Universitaria, Pabellón 1, Argentina; email: gboente@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Ait-Saïdi, A., Ferraty, F., Kassa, R., Vieu, P., Cross-validated estimations in the single functional index model (2008) Statistics, 42, pp. 475-494 | ||
| 504 | |a Aneiros-Pérez, G., Ling, N., Vieu, P., Error variance estimation in semi-functional partially linear regression models (2015) J. Nonparametr. Stat., 27, pp. 316-330 | ||
| 504 | |a Aneiros-Pérez, G., Vieu, P., Semi-functional partial linear model (2006) Statist. Probab. Lett., 11, pp. 1102-1110 | ||
| 504 | |a Aneiros-Pérez, G., Vieu, P., Nonparametric time series prediction: a semi-functional partial linear modelling (2008) J. Multivariate Anal., 99, pp. 834-857 | ||
| 504 | |a Aneiros-Pérez, G., Vieu, P., Automatic estimation procedure in partial linear model with functional data (2011) Statist. Papers, 52, pp. 751-771 | ||
| 504 | |a Aneiros-Pérez, G., Vieu, P., Testing linearity in semi-parametric functional data analysis (2013) Comput. Statist., 28, pp. 413-434 | ||
| 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 Benhenni, K., Ferraty, F., Rachdi, M., Vieu, P., Local smoothing regression with functional data (2007) Comput. Statist., 22, pp. 353-369 | ||
| 504 | |a Bianco, A., Boente, G., Robust estimators in semiparametric partly linear regression models (2004) J. Statist. Plann. Inference, 122, pp. 229-252 | ||
| 504 | |a Bianco, A., Boente, G., Robust estimators under a semiparametric partly linear autoregression model: asymptotic behavior and bandwidth selection (2007) J. Time Series Anal., 28, pp. 274-306 | ||
| 504 | |a Bianco, A., Boente, G., Martinez, E., Robust tests in semiparametric partly linear models (2006) Scand. J. Statist., 33, pp. 435-450 | ||
| 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., Meloche, J., Robust plug-in bandwidth estimators in nonparametric regression (1997) J. Statist. Plann. Inference, 57, pp. 109-142 | ||
| 504 | |a Boente, G., Pardo-Fernández, J.C., Robust testing for superiority between two regression curves (2016) Comput. Statist. Data Anal., 97, pp. 151-168 | ||
| 504 | |a Boente, G., Rodriguez, D., Robust bandwidth selection in semiparametric partly linear regression models: Monte Carlo study and influential analysis (2008) Comput. Statist. Data Anal., 52, pp. 2808-2828 | ||
| 504 | |a Boente, G., Vahnovan, A., Strong convergence of robust equivariant nonparametric functional regression estimators (2015) Statist. Probab. Lett., 100, pp. 1-11 | ||
| 504 | |a Cantoni, E., Ronchetti, E., Resistant selection of the smoothing parameter for smoothing splines (2001) Stat. Comput., 11 (2), pp. 141-146 | ||
| 504 | |a Chagny, G., Roche, A., Adaptive estimation in the functional nonparametric regression model (2016) J. Multivariate Anal., 146, pp. 105-118 | ||
| 504 | |a Chen, D., Hall, P., Müller, H.G., Single and multiple index functional regression models with nonparametric link (2011) Ann. Statist., 39, pp. 1720-1747 | ||
| 504 | |a Cuevas, A., A partial overview of the theory of statistics with functional data (2014) J. Statist. Plann. Inference, 147, pp. 1-23 | ||
| 504 | |a Ferraty, F., Goia, A., Salinelli, E., Vieu, P., Functional projection pursuit regression (2013) TEST, 22, pp. 293-320 | ||
| 504 | |a Ferraty, F., Laksaci, A., Tadj, A., View, P., Rate of uniform consistency for nonparametric estimates with functional variables (2010) J. Statist. Plann. Inference, 140, pp. 335-352 | ||
| 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., Peuch, A., Vieu, P., Modèle à indice fonctionnel simple (2003) C. R. Acad. Sci. Paris, 336, pp. 1025-1028 | ||
| 504 | |a Ferraty, F., Romain, Y., The Oxford Handbook of Functional Data Analysis (2010), Oxford University Press; Ferraty, F., Vieu, P., The functional nonparametric model and application to spectrometric data (2002) Comput. Statist., 17, pp. 545-564 | ||
| 504 | |a Ferraty, F., Vieu, P., Nonparametric Functional Data Analysis: Theory and Practice (2006), Springer New York; Gervini, D., Outlier detection and trimmed estimation for general functional data (2012) Statist. Sinica, 22, pp. 1639-1660 | ||
| 504 | |a Ghement, I., Ruiz, M., Zamar, R., Robust estimation of error scale in nonparametric regression models (2008) J. Statist. Plann. Inference, 138, pp. 3200-3216 | ||
| 504 | |a Goia, A., Vieu, P., A partitioned Single Functional Index Model (2015) Comput. Statist., 30, pp. 673-692 | ||
| 504 | |a Goia, A., Vieu, P., An introduction to recent advances in high/infinite dimensional statistics (2016) J. Multivariate Anal., 146, pp. 1-6 | ||
| 504 | |a González-Manteiga, W., Aneiros-Pérez, G., Testing in partial linear regression models with dependent errors (2003) J. Nonparametr. Stat., 15, pp. 93-111 | ||
| 504 | |a Härdle, W., Liang, H., Gao, J., Partially Linear Models (2000), Springer New York; He, X., Zhu, Z., Fung, W., Estimation in a semiparametric model for longitudinal data with unspecified dependence structure (2002) Biometrika, 89, pp. 579-590 | ||
| 504 | |a Henry, G., Rodriguez, D., Robust estimators in partly linear regression models on Riemannian manifolds (2016) Comm. Statist. Theory Methods, , http://www.tandfonline.com/doi/full/10.1080/03610926.2013.775302, (in press) | ||
| 504 | |a Horváth, L., Kokoszka, P., Inference for Functional Data with Applications (2012), Springer New York; Hubert, M., Vandervieren, E., An adjusted boxplot for skewed distributions (2008) Comput. Statist. Data Anal., 52, pp. 5186-5201 | ||
| 504 | |a Leung, D., Cross-validation in nonparametric regression with outliers (2005) Ann. Statist., 33, pp. 2291-2310 | ||
| 504 | |a Leung, D., Marriott, F., Wu, E., Bandwidth selection in robust smoothing (1993) J. Nonparametr. Stat., 4, pp. 333-339 | ||
| 504 | |a Linton, O., Second order approximations in the partially linear regression model (1995) Econometrica, 63, pp. 1079-1112 | ||
| 504 | |a Maronna, R., Martin, D., Yohai, V.J., Robust Statistics: Theory and Methods (2006), John Wiley & Sons New York; Rachdi, M., Vieu, P., Nonparametric regression for functional data: automatic smoothing parameter selection (2007) J. Statist. Plann. Inference, 137, pp. 2784-2801 | ||
| 504 | |a Ramsay, J., Silverman, B., Applied Functional Data Analysis: Methods and Case Studies (2002), Springer New York; Ramsay, J., Silverman, B., Functional Data Analysis (2005), Springer New York; Robinson, P., Root −n− consistent semiparametric regression (1988) Econometrica, 56, pp. 931-954 | ||
| 504 | |a Rousseeuw, P., Least median of squares regression (1984) J. Amer. Statist. Assoc., 79, pp. 871-880 | ||
| 504 | |a Shang, H.L., Bayesian bandwidth estimation for a nonparametric functional regression model with unknown error density (2013) Comput. Statist. Data Anal., 67, pp. 185-198 | ||
| 504 | |a Shang, H.L., Bayesian bandwidth estimation for a functional nonparametric regression model with mixed types of regressors and unknown error density (2014) J. Nonparametr. Stat., 26, pp. 599-615 | ||
| 504 | |a Shang, H.L., Bayesian bandwidth estimation for a semi-functional partial linear regression model with unknown error density (2014) Comput. Statist., 29, pp. 829-848 | ||
| 504 | |a Shin, H., Partial functional linear regression (2009) J. Statist. Plann. Inference, 139, pp. 3405-3418 | ||
| 504 | |a Speckman, P., Kernel smoothing in partial linear models (1988) J. R. Stat. Soc. Ser. B Stat. Methodol., 50, pp. 413-436 | ||
| 504 | |a Sun, Y., Genton, M.G., Functional Boxplots (2011) J. Comput. Graph. Statist., 20, pp. 316-334 | ||
| 504 | |a Vahnovan, A., Estimadores robustos en modelos de regresión noparamétricos funcionales y en modelos semi-funcionales parcialmente lineales (2013), http://sedici.unlp.edu.ar/handle/10915/44589, (Ph.D. thesis) National University of La Plata Available at; Wang, F., Scott, D., The L1 method for robust nonparametric regression (1994) J. Amer. Statist. Assoc., 89, pp. 65-76 | ||
| 504 | |a Zhang, D., Lin, X., Sowers, M.F., Assessing the effects of reproductive hormone profiles on bone mineral density using functional two-stage mixed models (2007) Biometrics, 63, pp. 351-362 | ||
| 520 | 3 | |a Partial linear models have been adapted to deal with functional covariates to capture both the advantages of a semi-linear modelling and those of nonparametric modelling for functional data. It is easy to see that the estimation procedures for these models are highly sensitive to the presence of even a small proportion of outliers in the data. To solve the problem of atypical observations when the covariates of the nonparametric component are functional, robust estimates for the regression parameter and regression operator are introduced. Consistency results of the robust estimators and the asymptotic distribution of the regression parameter estimator are studied. The reported numerical experiments show that the resulting estimators have good robustness properties. The benefits of considering robust estimators is also illustrated on a real data set where the robust fit reveals the presence of influential outliers. © 2016 Elsevier Inc. |l eng | |
| 593 | |a Departamento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina | ||
| 593 | |a IMAS, CONICET, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina | ||
| 593 | |a Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Calle 50 y 115, La Plata, Argentina | ||
| 593 | |a CONICET, Godoy Cruz 2290. 1425, Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a FUNCTIONAL DATA |
| 690 | 1 | 0 | |a KERNEL SMOOTHERS |
| 690 | 1 | 0 | |a PARTIAL LINEAR MODELS |
| 690 | 1 | 0 | |a ROBUST ESTIMATION |
| 700 | 1 | |a Vahnovan, A. | |
| 773 | 0 | |d Academic Press Inc., 2017 |g v. 154 |h pp. 59-84 |p J. Multivariate Anal. |x 0047259X |w (AR-BaUEN)CENRE-126 |t Journal of Multivariate Analysis | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84995406997&doi=10.1016%2fj.jmva.2016.10.005&partnerID=40&md5=eb01d5e6ba6090fa84792642f15bcc27 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jmva.2016.10.005 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0047259X_v154_n_p59_Boente |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0047259X_v154_n_p59_Boente |y Registro en la Biblioteca Digital |
| 961 | |a paper_0047259X_v154_n_p59_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 76181 | ||