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Bianco, A.; Boente, G.; González-Manteiga, W.; Pérez-González, A. "Estimation of the marginal location under a partially linear model with missing responses" (2010) Computational Statistics and Data Analysis. 54(2):546-564
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Abstract:

In this paper, we consider a semiparametric partially linear regression model where there are missing data in the response. We propose robust Fisher-consistent estimators for the regression parameter, for the regression function and for the marginal location parameter of the response variable. A robust cross-validation method is briefly discussed, although, from our numerical results, the marginal estimators seem not to be sensitive to the bandwidth parameter. Finally, a Monte Carlo study is carried out to compare the performance of the robust proposed estimators among themselves and also with the classical ones, for normal and contaminated samples, under different missing data models. An example based on a real data set is also discussed. © 2009 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Estimation of the marginal location under a partially linear model with missing responses
Autor:Bianco, A.; Boente, G.; González-Manteiga, W.; Pérez-González, A.
Filiación:Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina
CONICET, Argentina
Universidad de Santiago de Compostela, Spain
Universidad de Vigo, Spain
Palabras clave:Bandwidth parameters; Consistent estimators; Cross-validation methods; Data sets; Example based; Linear regression models; Location parameters; Missing data; Missing response; Monte Carlo study; Numerical results; Partially linear models; Regression function; Regression parameters; Semiparametric; Linear regression; Parameter estimation
Año:2010
Volumen:54
Número:2
Página de inicio:546
Página de fin:564
DOI: http://dx.doi.org/10.1016/j.csda.2009.09.028
Título revista:Computational Statistics and Data Analysis
Título revista abreviado:Comput. Stat. Data Anal.
ISSN:01679473
CODEN:CSDAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01679473_v54_n2_p546_Bianco

Referencias:

  • Aerts, M., Claeskens, G., Hens, N., Molenberghs, G., Local multiple imputation (2002) Biometrika, 89 (2), pp. 375-388
  • Bianco, A., Boente, G., Robust estimators in semiparametric partly linear regression models (2004) J. Statist. Plann. Inference, 122, pp. 229-252
  • Bianco, A., Boente, G., Robust estimators under a semiparametric partly linear autoregression model: Asymptotic behavior and bandwidth selection (2007) J. Time Ser. Anal., 28, pp. 274-306
  • Bianco, A., Boente, G., González-Manteiga, W., Pérez-González, A., (2009) Estimation of the marginal location under a partially linear model with missing responses, , http://www.ic.fcen.uba.ar/preprints/biaboegonper.pdf, Available at
  • Bianco, A., Boente, G., Martínez, E., Robust tests in semiparametric partly linear models (2006) Scandinavian J. Statist., 33, pp. 435-450
  • Boente, G., González-Manteiga, W., Pérez-González, A., Robust nonparametric estimation with missing data (2009) J. Statist. Plann. Inference, 139, pp. 571-592
  • Cantoni, E., Ronchetti, E., Resistant selection of the smoothing parameter for smoothing splines (2001) Statist. Comput., 11, pp. 141-146
  • Chen, J., Fan, J., Li, K., Zhou, H., Local quasi-likelihood estimation with data missing at random (2006) Statist. Sinica, 16, pp. 1071-1100
  • Chen, J., Shao, J., Nearest neighbor imputation for survey data (2000) J. Official Statist., 16, pp. 113-131
  • Cheng, P.E., Nonparametric estimation of mean functionals with data missing at random (1994) J. Amer. Statist. Assoc., 89, pp. 81-87
  • Chu, C.K., Cheng, P.E., Nonparametric regression estimation with missing data (1995) J. Statist. Plann. Inference, 48, pp. 85-99
  • Croux, C., Haesbroeck, G., Implementing the Bianco and Yohai estimator for logistic regression (2003) Comput. Statist. Data Anal., 44, pp. 273-295
  • Daniel, C., Wood, F., (1980) Fitting Equations to Data: Computer Analysis of Multifactor Data, , Wiley, New York
  • González-Manteiga, W., Aneiros-Pérez, G., Testing in partial linear regression models with dependent errors (2003) J. Nonparametr. Stat., 15, pp. 93-111
  • González-Manteiga, W., Pérez-González, A., Nonparametric mean estimation with missing data (2004) Comm. Statist. Theory Methods, 33, pp. 277-303
  • He, X., Zhu, Z., Fung, W., Estimation in a semiparametric model for longitudinal data with unspecified dependence structure (2002) Biometrika, 89, pp. 579-590
  • Huber, P., (1981) Robust Statistics, , Wiley, New York
  • Maronna, R., Martin, D., Yohai, V., (2006) Robust Statistics: Theory and Methods, , Wiley, New York
  • Meng, X.-L., Missing data: Dial M for ??? (2000) J. Amer. Statist. Assoc., 95 (452), pp. 1325-1330
  • Neyman, J., Contribution to the theory of sampling human populations (1938) J. Amer. Statist. Assoc., 33, pp. 101-116
  • Robins, J., Rotnitzky, A., Zhao, L.P., Estimation of regression coefficients when some regressors are not always observed (1994) J. Amer. Statist. Assoc., 89, pp. 846-866
  • Scharfstein, D., Rotnitzky, A., Robins, J., Adjusting for nonignorable drop out in semiparametric nonresponse models (with discussion) (1999) J. Amer. Statist. Assoc., 94, pp. 1096-1146
  • Wang, C., Wang, S., Gutierrez, R., Carroll, R., Local linear regression for generalized linear models with missing data (1998) Ann. Statist., 26, pp. 1028-1050
  • Wang, C., Wang, S., Zhao, L.P., Ou, S.T., Weighted semiparametric estimation in regression analysis regression with missing covariates data (1997) J. Amer. Statist. Assoc., 92, pp. 512-525
  • Wang, F., Scott, D., The L1 method for robust nonparametric regression (1994) J. Amer. Statist. Assoc., 89, pp. 65-76
  • Wang, Q., Linton, O., Härdle, W., Semiparametric regression analysis with missing response at random (2004) J. Amer. Statist. Assoc., 99 (466), pp. 334-345
  • Wang, Q., Sun, Z., Estimation in partially linear models with missing responses at random (2007) J. Multivariate Anal., 98, pp. 1470-1493
  • Wang, W., Rao, J., Empirical likelihood-based inference under imputation for missing response data (2002) Ann. Statist., 30, pp. 896-924
  • Yates, F., The analysis of replicated experiments when the field results are incomplete (1933) Emporium J. Exp. Agriculture, 1, pp. 129-142

Citas:

---------- APA ----------
Bianco, A., Boente, G., González-Manteiga, W. & Pérez-González, A. (2010) . Estimation of the marginal location under a partially linear model with missing responses. Computational Statistics and Data Analysis, 54(2), 546-564.
http://dx.doi.org/10.1016/j.csda.2009.09.028
---------- CHICAGO ----------
Bianco, A., Boente, G., González-Manteiga, W., Pérez-González, A. "Estimation of the marginal location under a partially linear model with missing responses" . Computational Statistics and Data Analysis 54, no. 2 (2010) : 546-564.
http://dx.doi.org/10.1016/j.csda.2009.09.028
---------- MLA ----------
Bianco, A., Boente, G., González-Manteiga, W., Pérez-González, A. "Estimation of the marginal location under a partially linear model with missing responses" . Computational Statistics and Data Analysis, vol. 54, no. 2, 2010, pp. 546-564.
http://dx.doi.org/10.1016/j.csda.2009.09.028
---------- VANCOUVER ----------
Bianco, A., Boente, G., González-Manteiga, W., Pérez-González, A. Estimation of the marginal location under a partially linear model with missing responses. Comput. Stat. Data Anal. 2010;54(2):546-564.
http://dx.doi.org/10.1016/j.csda.2009.09.028