메뉴 건너뛰기




Volumn 11, Issue 4, 2001, Pages 373-394

Adaptive wavelet series estimation in separable nonparametric regression models

Author keywords

Adaptive estimation; Additive model; Wavelet regularization; Wavelet series

Indexed keywords


EID: 0010373236     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011929305660     Document Type: Article
Times cited : (19)

References (31)
  • 2
    • 0001338126 scopus 로고
    • L, cross-validation, and generalized cross-validation in regression with heteroskedastic errors
    • L, cross-validation, and generalized cross-validation in regression with heteroskedastic errors. Journal of Econometrics 47: 359-377.
    • (1991) Journal of Econometrics , vol.47 , pp. 359-377
    • Andrews, D.W.K.1
  • 3
    • 0000090466 scopus 로고
    • Asymptotic normality of series estimators for nonparametric and semiparametric regression models
    • Andrews D.W.K. 1991. Asymptotic normality of series estimators for nonparametric and semiparametric regression models. Econometrica 59: 307-345.
    • (1991) Econometrica , vol.59 , pp. 307-345
    • Andrews, D.W.K.1
  • 4
    • 0000828930 scopus 로고
    • Additive interactive regression models: Circumvention of the curse of dimensionality
    • Andrews D.W.K. and Whang Y.J. 1990. Additive interactive regression models: Circumvention of the curse of dimensionality. Econometric Theory 6: 466-479.
    • (1990) Econometric Theory , vol.6 , pp. 466-479
    • Andrews, D.W.K.1    Whang, Y.J.2
  • 5
    • 0030500040 scopus 로고    scopus 로고
    • Smoothing noisy data with tapered coiflet series
    • Antoniadis A. 1996. Smoothing noisy data with tapered coiflet series. Scandinavian Journal of Statistics 23: 313-330.
    • (1996) Scandinavian Journal of Statistics , vol.23 , pp. 313-330
    • Antoniadis, A.1
  • 8
    • 84950771789 scopus 로고
    • Estimating optimal transformations for multiple regression and correlation (with discussion)
    • Breiman L. and Friedman J.H. 1985. Estimating optimal transformations for multiple regression and correlation (with discussion). Journal of the American Statistical Association 80: 580-619.
    • (1985) Journal of the American Statistical Association , vol.80 , pp. 580-619
    • Breiman, L.1    Friedman, J.H.2
  • 11
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions
    • Craven P. and Wahba G. 1979. Smoothing noisy data with spline functions. Numerische Mathematik 59: 377-403.
    • (1979) Numerische Mathematik , vol.59 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 13
    • 0000191021 scopus 로고
    • Estimating wavelet coefficients
    • Antoniadis A. and Oppenheim, G. (Eds.). Springer-Verlag, Berlin
    • Delyon B. and Ioudistski A. 1995. Estimating wavelet coefficients. In: Antoniadis A. and Oppenheim, G. (Eds.). Wavelets and Statistics, Lecture Notes in Statistics, 103. Springer-Verlag, Berlin, pp. 151-168.
    • (1995) Wavelets and Statistics, Lecture Notes in Statistics , vol.103 , pp. 151-168
    • Delyon, B.1    Ioudistski, A.2
  • 14
    • 0000887734 scopus 로고
    • Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation
    • Fan J. and Gijbels I. 1995. Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation. Journal of the Royal Statistical Society Series B 57: 371-394.
    • (1995) Journal of the Royal Statistical Society Series B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 16
    • 0001704005 scopus 로고    scopus 로고
    • Efficient estimation of additive nonparametric regression models
    • Linton O. 1996. Efficient estimation of additive nonparametric regression models. Biometrika 84: 469-473.
    • (1996) Biometrika , vol.84 , pp. 469-473
    • Linton, O.1
  • 17
    • 77956888636 scopus 로고
    • A kernel method of estimating structured nonparametric regression based on marginal integration
    • Linton O. and 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
  • 18
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • Mallat S.G. 1989. A theory for multiresolution signal decomposition: The wavelet representation. IEEE Trans. Pattn. Anal. Mach. Intell. 11: 674-693.
    • (1989) IEEE Trans. Pattn. Anal. Mach. Intell. , vol.11 , pp. 674-693
    • Mallat, S.G.1
  • 20
    • 0000821745 scopus 로고
    • Estimation of heteroscedasticity in regression analysis
    • Muller H.G. and Stadtmuller U. 1987. Estimation of heteroscedasticity in regression analysis. Annals of Statistics 15: 610-625.
    • (1987) Annals of Statistics , vol.15 , pp. 610-625
    • Muller, H.G.1    Stadtmuller, U.2
  • 21
    • 21344489560 scopus 로고
    • Kernel estimation of partial means
    • Newey W.K. 1994. Kernel estimation of partial means. Econometric Theory 10: 233-253.
    • (1994) Econometric Theory , vol.10 , pp. 233-253
    • Newey, W.K.1
  • 24
    • 0031531299 scopus 로고    scopus 로고
    • Fitting a bivariate additive model by local polynomial regression
    • Opsomer J.D. and Ruppert D. 1997. Fitting a bivariate additive model by local polynomial regression. Annals of Statistics 25: 186-211.
    • (1997) Annals of Statistics , vol.25 , pp. 186-211
    • Opsomer, J.D.1    Ruppert, D.2
  • 28
    • 0001227575 scopus 로고
    • Additive regression and other nonparametric models
    • Stone C.J. 1985. Additive regression and other nonparametric models. Annals of Statistics 13: 689-705.
    • (1985) Annals of Statistics , vol.13 , pp. 689-705
    • Stone, C.J.1
  • 29
    • 0001719983 scopus 로고
    • The dimensionality reduction principle for generalized additive models
    • Stone C.J. 1986. The dimensionality reduction principle for generalized additive models. Annals of Statistics 14: 590-606.
    • (1986) Annals of Statistics , vol.14 , pp. 590-606
    • Stone, C.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.