Bandwidth choice for robust nonparametric scale function estimation

We introduce and compare several robust procedures for bandwidth selection when estimating the variance function. These bandwidth selectors are to be used in combination with the robust scale estimates introduced by Boente et al. (2010a). We consider two different robust cross-validation strategies...

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Autor principal: Boente, G.
Otros Autores: Ruiz, M., Zamar, R.H
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2012
Acceso en línea:Registro en Scopus
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030 |a CSDAD 
100 1 |a Boente, G. 
245 1 0 |a Bandwidth choice for robust nonparametric scale function estimation 
260 |c 2012 
270 1 0 |m Boente, G.; Instituto de Clculo, FCEyN, Pabelln 2, Buenos Aires C1428EHA, Argentina; email: gboente@dm.uba.ar 
506 |2 openaire  |e Política editorial 
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504 |a Boente, G., Ruiz, M., Zamar, R., On a robust local estimator for the scale function in heteroscedastic nonparametric regression (2010) Statistics & Probability Letters, 80, pp. 1185-1195 
504 |a Boente, G., Ruiz, M., Zamar, R., (2010) Bandwidth Choice for Robust Nonparametric Scale Function Estimation, , http://www.ic.fcen.uba.ar/preprints/BRZ_TR.pdf 
504 |a Brown, L., Levine, M., Variance estimation in nonparametric regression via the difference sequence method (2007) The Annals of Statistics, 35, pp. 2219-2232 
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504 |a Dette, H., Munk, A., Wagner, T., Estimating the variance in nonparametric regression What is a reasonable choice? (1998) Journal of the Royal Statistics Society, Series B, 60, pp. 751-764 
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504 |a Ghement, I., Ruiz, M., Zamar, R., Robust estimation of error scale in nonparametric regression models (2008) Journal of Statistical Planning and Inference, 138, pp. 3200-3216 
504 |a Hall, P., Kay, J., Titterington, D., Asymptotically optimal difference-based estimation of variance in nonparametric regression (1990) Biometrika, 77, pp. 521-528 
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504 |a Leung, D., Cross-validation in nonparametric regression with outliers (2005) The Annals of Statistics, 33, pp. 2291-2310 
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504 |a Levine, M., (2003) Variance Estimation for Nonparametric Regression and Its Applications, , Ph.D. Dissertation, University of Pennsylvania 
504 |a Levine, M., Bandwidth selection for a class of difference-based variance estimators in the nonparametric regression: A possible approach (2006) Computational Statistics & Data Analysis, 50, pp. 3405-3431 
504 |a Maronna, R., Martin, D., Yohai, V., (2006) Robust Statistics: Theory and Methods, , John Wiley & Sons 
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520 3 |a We introduce and compare several robust procedures for bandwidth selection when estimating the variance function. These bandwidth selectors are to be used in combination with the robust scale estimates introduced by Boente et al. (2010a). We consider two different robust cross-validation strategies combined with two ways for measuring the cross-validation prediction error. The different proposals are compared with non robust alternatives using Monte Carlo simulation. We also derive some asymptotic results to investigate the large sample performance of the corresponding robust data-driven scale estimators. © 2011 Elsevier B.V. All rights reserved.  |l eng 
593 |a Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina 
593 |a CONICET, Argentina 
593 |a Universidad Nacional de Ro Cuarto, Argentina 
593 |a University of British Columbia, Canada 
690 1 0 |a CROSS-VALIDATION 
690 1 0 |a DATA-DRIVEN BANDWIDTH 
690 1 0 |a HETEROSCEDASTICITY 
690 1 0 |a LOCAL M-ESTIMATORS 
690 1 0 |a NONPARAMETRIC REGRESSION 
690 1 0 |a ROBUST ESTIMATION 
690 1 0 |a CROSS VALIDATION 
690 1 0 |a DATA-DRIVEN 
690 1 0 |a HETEROSCEDASTICITY 
690 1 0 |a LOCAL M-ESTIMATORS 
690 1 0 |a NON-PARAMETRIC REGRESSION 
690 1 0 |a ROBUST ESTIMATION 
690 1 0 |a ASYMPTOTIC ANALYSIS 
690 1 0 |a BANDWIDTH 
690 1 0 |a MONTE CARLO METHODS 
690 1 0 |a ESTIMATION 
700 1 |a Ruiz, M. 
700 1 |a Zamar, R.H. 
773 0 |d 2012  |g v. 56  |h pp. 1594-1608  |k n. 6  |p Comput. Stat. Data Anal.  |x 01679473  |w (AR-BaUEN)CENRE-4276  |t Computational Statistics and Data Analysis 
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