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Volumn 36, Issue 6, 2007, Pages 1105-1122

Exponential-bound property of estimators and variable selection in generalized additive models

Author keywords

Bootstrap; Exponential bound; Generalized additive model; Variable selection

Indexed keywords

ASYMPTOTIC ANALYSIS; INTEGRATION; MEAN SQUARE ERROR; NUMERICAL METHODS;

EID: 34247645977     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920601076875     Document Type: Article
Times cited : (2)

References (22)
  • 1
    • 0000014224 scopus 로고
    • Linear smoother and additive models (with discussion)
    • Buja, A., Hastie, T. J., Tibshirani, R. J. (1989). Linear smoother and additive models (with discussion). Ann. Statist. 17:453-555.
    • (1989) Ann. Statist , vol.17 , pp. 453-555
    • Buja, A.1    Hastie, T.J.2    Tibshirani, R.J.3
  • 2
    • 0001260187 scopus 로고
    • 1 for kernel density estimates
    • 1 for kernel density estimates. Ann. Statist. 11:896-904.
    • (1983) Ann. Statist , vol.11 , pp. 896-904
    • Devroye, L.1
  • 4
    • 21844511932 scopus 로고
    • On the strong universal consistency of nearest neighbor regression function estimates
    • Devroye, L., Gyorfi, L., Krzyzak, A., Gabor, L. (1994). On the strong universal consistency of nearest neighbor regression function estimates. Ann. Statist. 22:1371-1385.
    • (1994) Ann. Statist , vol.22 , pp. 1371-1385
    • Devroye, L.1    Gyorfi, L.2    Krzyzak, A.3    Gabor, L.4
  • 5
    • 0032359619 scopus 로고    scopus 로고
    • Direct estimation of low-dimensional components in additive models
    • Fan, J. Q., Härdle, W., Mammen, E. (1998). Direct estimation of low-dimensional components in additive models. Ann. Statist. 26:943-971.
    • (1998) Ann. Statist , vol.26 , pp. 943-971
    • Fan, J.Q.1    Härdle, W.2    Mammen, E.3
  • 6
    • 0001828087 scopus 로고
    • Applied Nonparametric Regression
    • Cambridge: Cambridge University Press
    • Härdle, W. (1990). Applied Nonparametric Regression. Econometric Society Monograph Series 19. Cambridge: Cambridge University Press.
    • (1990) Econometric Society Monograph Series , vol.19
    • Härdle, W.1
  • 7
    • 0001764049 scopus 로고
    • Additive nonparametric regression on principal components
    • Härdle, W., Tsybakov, A. B. (1995). Additive nonparametric regression on principal components. J. Nonparam. Statist. 5:157-184.
    • (1995) J. Nonparam. Statist , vol.5 , pp. 157-184
    • Härdle, W.1    Tsybakov, A.B.2
  • 8
    • 0000856943 scopus 로고    scopus 로고
    • Search for significant variables in nonparametric additive regression
    • Härdle, W., Korostelev, A. (1996). Search for significant variables in nonparametric additive regression. Biometrika 83(3):541-549.
    • (1996) Biometrika , vol.83 , Issue.3 , pp. 541-549
    • Härdle, W.1    Korostelev, A.2
  • 11
    • 77956888636 scopus 로고
    • A kernel method of estimating structured nonparametric regression based on marginal integration
    • Linton, O., Nielsen, J. P. (1995). A kernel method of estimating structured nonparametric regression based on marginal integration. Biometrika 82:93-100.
    • (1995) Biometrika , vol.82 , pp. 93-100
    • Linton, O.1    Nielsen, J.P.2
  • 12
    • 0000346456 scopus 로고    scopus 로고
    • Estimation of additive regression models with known links
    • Linton, O., Härdle, W. (1996). Estimation of additive regression models with known links. Biometrika 83(3):529-540.
    • (1996) Biometrika , vol.83 , Issue.3 , pp. 529-540
    • Linton, O.1    Härdle, W.2
  • 13
    • 21344489560 scopus 로고
    • Kernel estimation of partial means
    • Newey, W. K. (1994). Kernel estimation of partial means. Economet. Theor. 10:233-253.
    • (1994) Economet. Theor , vol.10 , pp. 233-253
    • Newey, W.K.1
  • 15
    • 0000307942 scopus 로고    scopus 로고
    • Variable selection and function estimation in additive nonparametric regression using a data-based prior (with discussion)
    • Shively, T. S., Kohn, R., Wood, S. (1999). Variable selection and function estimation in additive nonparametric regression using a data-based prior (with discussion). J. Amer. Statist. Assoc. 94:777-806.
    • (1999) J. Amer. Statist. Assoc , vol.94 , pp. 777-806
    • Shively, T.S.1    Kohn, R.2    Wood, S.3
  • 16
    • 0001227575 scopus 로고
    • Additive regression and other nonparametric models
    • Stone, C. J. (1985). Additive regression and other nonparametric models. Ann. Statist. 13:689-705.
    • (1985) Ann. Statist , vol.13 , pp. 689-705
    • Stone, C.J.1
  • 17
    • 0001719983 scopus 로고
    • The dimensionality reduction principle for generalized additive models
    • Stone, C. J. (1986). The dimensionality reduction principle for generalized additive models. Ann. Statist. 14:592-606.
    • (1986) Ann. Statist , vol.14 , pp. 592-606
    • Stone, C.J.1
  • 18
    • 84950953819 scopus 로고
    • Nonparametric identification of nonlinear time series: Projections
    • Tjøstheim, D., Auestad, B. (1994). Nonparametric identification of nonlinear time series: projections. J. Amer Statist. Assoc. 89:1398-1409.
    • (1994) J. Amer Statist. Assoc , vol.89 , pp. 1398-1409
    • Tjøstheim, D.1    Auestad, B.2
  • 19
    • 0001673027 scopus 로고
    • Jacknife, bootstrap, and other resampling methods in regression analysis (with discussion)
    • Wu, C. F. J. (1986). Jacknife, bootstrap, and other resampling methods in regression analysis (with discussion). Ann. Statist. 14:1261-1295.
    • (1986) Ann. Statist , vol.14 , pp. 1261-1295
    • Wu, C.F.J.1
  • 20
    • 0000278675 scopus 로고    scopus 로고
    • Nonparametric autoregression with multiplicative volatility and additive mean
    • Yang, L., Härdle, W., Nielson, J. (1999). Nonparametric autoregression with multiplicative volatility and additive mean. J. Time Ser. Anal. 20(5):579-604.
    • (1999) J. Time Ser. Anal , vol.20 , Issue.5 , pp. 579-604
    • Yang, L.1    Härdle, W.2    Nielson, J.3
  • 21
    • 38249036756 scopus 로고
    • Exponential bounds of mean error for the nearest neighbor estimates of regression functions
    • Zhao, L. C. (1987). Exponential bounds of mean error for the nearest neighbor estimates of regression functions. R. J. Multivariate Anal. 21:168-178.
    • (1987) R. J. Multivariate Anal , vol.21 , pp. 168-178
    • Zhao, L.C.1
  • 22
    • 33747471561 scopus 로고
    • Exponential bounds of mean error for the kernel estimates of regression function
    • Zhao, L. C. (1989). Exponential bounds of mean error for the kernel estimates of regression function. R. J. Multivariate Anal. 29:260-273.
    • (1989) R. J. Multivariate Anal , vol.29 , pp. 260-273
    • Zhao, L.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.