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Volumn 23, Issue 3, 1996, Pages 313-330

Smoothing noisy data with tapered coiflets series

Author keywords

Curve smoothing; Multi resolution analysis; Non parametric regression; Penalized least squares; Splines; Wavelets

Indexed keywords


EID: 0030500040     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (31)
  • 1
    • 0000140508 scopus 로고
    • Smoothing noisy data with coiflets
    • Antoniadis, A. (1994). Smoothing noisy data with coiflets. Statist. Sinica 4, 651-678.
    • (1994) Statist. Sinica , vol.4 , pp. 651-678
    • Antoniadis, A.1
  • 2
    • 0040082384 scopus 로고
    • Estimation de la fonction de variance dans un modèle de régression par une méthode d'ondelettes
    • Wavelets and statistics (Proceedings of the 15th rencontres Franco-Belges de statistique) eds. A. Antoniadis and G. Oppenheim, Springer-Verlag
    • Antoniadis, A. & Lavergne, C. (1994). Estimation de la fonction de variance dans un modèle de régression par une méthode d'ondelettes. In Wavelets and statistics (Proceedings of the 15th rencontres Franco-Belges de statistique) eds. A. Antoniadis and G. Oppenheim, Lecture Notes in Statistics 103, Springer-Verlag.
    • (1994) Lecture Notes in Statistics , vol.103
    • Antoniadis, A.1    Lavergne, C.2
  • 4
    • 0010932259 scopus 로고
    • Comparing automatic smoothers
    • Breiman, L. & Peters, S. (1992). Comparing automatic smoothers. Int. Statist. Rev. 60, 271-290.
    • (1992) Int. Statist. Rev. , vol.60 , pp. 271-290
    • Breiman, L.1    Peters, S.2
  • 6
    • 0001767268 scopus 로고
    • Approximation of least-squares regression on nested subspaces
    • Cox, D. D. (1988). Approximation of least-squares regression on nested subspaces. Ann. Statist. 16, 713-732.
    • (1988) Ann. Statist. , vol.16 , pp. 713-732
    • Cox, D.D.1
  • 7
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Daubechies, I. (1988). Orthonormal bases of compactly supported wavelets. Commun. Pure Appl. Math. 41, 909-996.
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 8
    • 0345194981 scopus 로고
    • Orthonormal bases of compactly supported wavelets ii: Variation on a theme
    • Daubechies, I. (1990). Orthonormal bases of compactly supported wavelets ii: variation on a theme. AT&T, Technical Report.
    • (1990) AT&T, Technical Report
    • Daubechies, I.1
  • 10
    • 84875523609 scopus 로고
    • Fast wavelet techniques for near-optimal signal processing
    • DeVore, R. & Lucier, B. J. (1992). Fast wavelet techniques for near-optimal signal processing. In IEEE military communication conference, pp. 1129-1135.
    • (1992) IEEE Military Communication Conference , pp. 1129-1135
    • DeVore, R.1    Lucier, B.J.2
  • 11
    • 0003834180 scopus 로고
    • Minimax estimation via wavelet shrinkage
    • Stanford University
    • Donoho, D. L. & Johnstone, I. M. (1992) Minimax estimation via wavelet shrinkage. Technical Report, Stanford University.
    • (1992) Technical Report
    • Donoho, D.L.1    Johnstone, I.M.2
  • 15
    • 0000887734 scopus 로고
    • Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation
    • Fan, J. & Gijbels, I. (1995). Data-driven bandwidth selection in local polynomial fitting: variable bandwidth and spatial adaptation. J. Roy. Statist. Soc. Ser. B 57, 371-394.
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 16
    • 0029246897 scopus 로고
    • Boundary filters for finite-length signals and time-varying filter banks
    • to appear
    • Herley, C. (1995). Boundary filters for finite-length signals and time-varying filter banks. IEEE Trans. Acoustics, Speech, and Signal Processing, to appear.
    • (1995) IEEE Trans. Acoustics, Speech, and Signal Processing
    • Herley, C.1
  • 17
    • 0005809527 scopus 로고
    • Bounds for the risk of nonparametric estimates of regression
    • Ibragimov, I. A. & Khasminskii, R. Z. (1982). Bounds for the risk of nonparametric estimates of regression. Theory Probab. Applic. 27, 81-94.
    • (1982) Theory Probab. Applic. , vol.27 , pp. 81-94
    • Ibragimov, I.A.1    Khasminskii, R.Z.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. Pattern Anal. Machine Intell. 11, 674-693.
    • (1989) IEEE Trans. Pattern Anal. Machine Intell. , vol.11 , pp. 674-693
    • Mallat, S.G.1
  • 19
    • 0040082373 scopus 로고
    • Wavelet transforms algorithms for finite-duration signals
    • eds Y. Meyer and S. Roques, Toulouse, Editions Frontières
    • McGill, K. & Taswell, C. (1993). Wavelet transforms algorithms for finite-duration signals. In Proceedings of the international conference en wavelets and applications, eds Y. Meyer and S. Roques, 221-224, Toulouse, Editions Frontières.
    • (1993) Proceedings of the International Conference en Wavelets and Applications , pp. 221-224
    • McGill, K.1    Taswell, C.2
  • 20
    • 0000075686 scopus 로고
    • Ondelettes sur l'intervalle
    • Meyer, Y. (1991). Ondelettes sur l'intervalle. Rev. Math. Iberoamer. 7, 115-133.
    • (1991) Rev. Math. Iberoamer. , vol.7 , pp. 115-133
    • Meyer, Y.1
  • 21
    • 0003216434 scopus 로고
    • Nonparametric regression analysis of longitudinal data
    • Springer-Verlag, Berlin
    • Müller, H. G. (1988). Nonparametric regression analysis of longitudinal data, Lecture Notes in Statistics, vol. 46, Springer-Verlag, Berlin.
    • (1988) Lecture Notes in Statistics , vol.46
    • Müller, H.G.1
  • 22
    • 0000858754 scopus 로고
    • Variable bandwidth kernel estimators of regression curves
    • Müller, H.-G. and Stadtmüller, U. (1987). Variable bandwidth kernel estimators of regression curves. Ann. Statist. 15, 182-201.
    • (1987) Ann. Statist. , vol.15 , pp. 182-201
    • Müller, H.-G.1    Stadtmüller, U.2
  • 25
    • 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
  • 26
    • 0010372996 scopus 로고
    • Integrated mean squared error of a smoothing spline
    • Rice, J. & Rosenblatt, M. (1981). Integrated mean squared error of a smoothing spline. J. Approx. Theory 33, 353-369.
    • (1981) J. Approx. Theory , vol.33 , pp. 353-369
    • Rice, J.1    Rosenblatt, M.2
  • 27
    • 0026938667 scopus 로고
    • Wedding the à trous and mallat algorithms
    • Shensa, M. J. (1992). Wedding the à trous and mallat algorithms. IEEE Trans. Signal Processing 40, 2464-2483.
    • (1992) IEEE Trans. Signal Processing , vol.40 , pp. 2464-2483
    • Shensa, M.J.1
  • 28
    • 0000935894 scopus 로고
    • Spline smoothing and optimal rates of convergence in nonparametric regression models
    • Speckman, P. (1985). Spline smoothing and optimal rates of convergence in nonparametric regression models. Ann. Statist. 13, 970-983.
    • (1985) Ann. Statist. , vol.13 , pp. 970-983
    • Speckman, P.1
  • 29
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametaric estimators
    • Stone, J. C. (1982). Optimal global rates of convergence for nonparametaric estimators. Ann. Statist. 10, 1040-1053.
    • (1982) Ann. Statist. , vol.10 , pp. 1040-1053
    • Stone, J.C.1
  • 30
    • 0000238658 scopus 로고
    • Smoothing noisy data with spline functions
    • Wahba, G. (1975). Smoothing noisy data with spline functions. Numer. Math. 24, 383-393.
    • (1975) Numer. Math. , vol.24 , pp. 383-393
    • Wahba, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.