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Volumn 14, Issue 2, 2004, Pages 485-512

Cross-validated local linear nonparametric regression

Author keywords

Asymptotic normality; Data driven bandwidth selection; Discrete and continuous data; Local polynomial regression

Indexed keywords


EID: 3142739397     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (335)

References (25)
  • 1
    • 0042736364 scopus 로고
    • Nonparametric estimation of joint discrete-continuous probability densities with applications
    • Ahmad, I. A. and Cerrito, P. B. (1994). Nonparametric estimation of joint discrete-continuous probability densities with applications, J. Statist. Plann. Inference 41, 349-364.
    • (1994) J. Statist. Plann. Inference , vol.41 , pp. 349-364
    • Ahmad, I.A.1    Cerrito, P.B.2
  • 2
    • 0017109036 scopus 로고
    • Multivariate binary discrimination by the kernel method
    • Aitchison, J. and Aitken, C. G. G. (1976). Multivariate binary discrimination by the kernel method, Biometrika 63, 413-420.
    • (1976) Biometrika , vol.63 , pp. 413-420
    • Aitchison, J.1    Aitken, C.G.G.2
  • 3
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike, H. (1974). A new look at the statistical model identification, IEEE Trans. Automat. Control 9, 716-723.
    • (1974) IEEE Trans. Automat. Control , vol.9 , pp. 716-723
    • Akaike, H.1
  • 4
    • 84935143535 scopus 로고
    • Uniform consistency of kernel estimators of a regression function under generalized conditions
    • Bierens, H. (1983). Uniform consistency of kernel estimators of a regression function under generalized conditions. J. Amer. Statist. Assoc. 78, 699-707.
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 699-707
    • Bierens, H.1
  • 5
    • 0001898398 scopus 로고
    • Kernel estimation of regression functions
    • Edited by T. F. Bewley. Cambridge University Press, Cambridge
    • Bierens, H. (1987). Kernel estimation of regression functions. In Advances in Econometrics (Edited by T. F. Bewley). Cambridge University Press, Cambridge.
    • (1987) Advances in Econometrics
    • Bierens, H.1
  • 6
    • 0030213284 scopus 로고    scopus 로고
    • Incorporating extra information in nonparametric smoothing
    • Chen, R. (1996). Incorporating extra information in nonparametric smoothing. J. Multivariate Anal. 58, 133-150.
    • (1996) J. Multivariate Anal. , vol.58 , pp. 133-150
    • Chen, R.1
  • 7
    • 84950423285 scopus 로고
    • Design-adaptive nonparametric regression
    • Fan, J. (1992). Design-adaptive nonparametric regression. J. Amer. Statist. Assoc. 87, 998-1004.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 998-1004
    • Fan, J.1
  • 8
    • 3042869574 scopus 로고
    • Local linear smoothers and their minimax efficiency
    • Fan, J. (1993). Local linear smoothers and their minimax efficiency. Ann. Statist. 21, 196-216.
    • (1993) Ann. Statist. , vol.21 , pp. 196-216
    • Fan, J.1
  • 10
    • 0010931338 scopus 로고
    • On the performance of kernel estimators for high-dimensional sparse binary data
    • Grund, B. and Hall, P. (1993). On the performance of kernel estimators for high-dimensional sparse binary data. J. Multivariate Anal. 44, 321-344.
    • (1993) J. Multivariate Anal. , vol.44 , pp. 321-344
    • Grund, B.1    Hall, P.2
  • 11
    • 0000923625 scopus 로고
    • On nonparametric multivariate binary discrimination
    • Hall, P. (1981). On nonparametric multivariate binary discrimination. Biometrika 68, 287-294.
    • (1981) Biometrika , vol.68 , pp. 287-294
    • Hall, P.1
  • 12
    • 10144254861 scopus 로고    scopus 로고
    • Cross-validation and the estimation of conditional probability densities
    • Hall, P., Racine, J. and Li, Q. (2004). Cross-validation and the estimation of conditional probability densities. J. Amer. Statist. Assoc. To accept.
    • (2004) J. Amer. Statist. Assoc. to Accept.
    • Hall, P.1    Racine, J.2    Li, Q.3
  • 13
    • 84909719647 scopus 로고
    • How far are automatically chosen regression smoothing parameters from their optimum? J
    • Härdle, W., Hall, P. and Marron, J. S. (1988). How far are automatically chosen regression smoothing parameters from their optimum? J. Amer. Statist. Assoc. 83, 86-99.
    • (1988) Amer. Statist. Assoc. , vol.83 , pp. 86-99
    • Härdle, W.1    Hall, P.2    Marron, J.S.3
  • 14
    • 0001079479 scopus 로고
    • Regression smoothing parameters that are not far from their optimum
    • Härdle, W., Hall, P. and Marron, J. S. (1992). Regression smoothing parameters that are not far from their optimum. J. Amer. Statist. Assoc. 87, 227-233.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 227-233
    • Härdle, W.1    Hall, P.2    Marron, J.S.3
  • 15
    • 0000402476 scopus 로고
    • Optimal bandwidth selection in nonparametric regression function estimation
    • Härdle, W. and Marron, J. S. (1985). Optimal bandwidth selection in nonparametric regression function estimation. Ann. Statist. 13, 1465-1481.
    • (1985) Ann. Statist. , vol.13 , pp. 1465-1481
    • Härdle, W.1    Marron, J.S.2
  • 16
    • 0001354983 scopus 로고    scopus 로고
    • Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion
    • Hurvich, C. M. and Simonoff, J. S. and Tsai, C. L. (1998). Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion. J. Roy. Statist. Soc. B 60, 271-293.
    • (1998) J. Roy. Statist. Soc. B , vol.60 , pp. 271-293
    • Hurvich, C.M.1    Simonoff, J.S.2    Tsai, C.L.3
  • 17
    • 3142662263 scopus 로고    scopus 로고
    • Empirical applications of smoothing categorical variables
    • Li, Q. and Racine, J. (2001). Empirical applications of smoothing categorical variables. Unpublished manuscript.
    • (2001) Unpublished Manuscript.
    • Li, Q.1    Racine, J.2
  • 18
    • 1142276027 scopus 로고    scopus 로고
    • Nonparametric estimation of regression functions with both categorical and continuous Data
    • Racine, J. and Li, Q. (2004). Nonparametric estimation of regression functions with both categorical and continuous Data. J. Econometrics 119, 99-130.
    • (2004) J. Econometrics , vol.119 , pp. 99-130
    • Racine, J.1    Li, Q.2
  • 19
    • 0000006440 scopus 로고
    • Bandwidth choice for nonparametric regression
    • Rice, J. (1984). Bandwidth choice for nonparametric regression. Ann. Statist. 12, 1215-1230.
    • (1984) Ann. Statist. , vol.12 , pp. 1215-1230
    • Rice, J.1
  • 20
    • 0000218602 scopus 로고
    • Root-N consistent semiparametric regression
    • Robinson, P. (1988). Root-N consistent semiparametric regression. Econometrica, 56, 931-954.
    • (1988) Econometrica , vol.56 , pp. 931-954
    • Robinson, P.1
  • 21
    • 21844518517 scopus 로고
    • Multivariate weighted least squares regression
    • Ruppert, D. and Wand, M. P. (1994). Multivariate weighted least squares regression. Ann. Statist. 22, 1346-1370.
    • (1994) Ann. Statist. , vol.22 , pp. 1346-1370
    • Ruppert, D.1    Wand, M.P.2
  • 24
    • 77956887130 scopus 로고
    • An optimal selection of regression variables
    • Shibata, R. (1981). An optimal selection of regression variables. Biometrika 68, 45-54.
    • (1981) Biometrika , vol.68 , pp. 45-54
    • Shibata, R.1
  • 25
    • 0036859875 scopus 로고    scopus 로고
    • Asymptotic behavior of bandwidth selected by the cross-validation method for local polynomial fitting
    • Xia, Y. C. and Li, W. K. (2002). Asymptotic behavior of bandwidth selected by the cross-validation method for local polynomial fitting. J. Multivariate Anal. 83, 265-287.
    • (2002) J. Multivariate Anal. , vol.83 , pp. 265-287
    • Xia, Y.C.1    Li, W.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.