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Volumn 77, Issue 16, 2007, Pages 1608-1621

Penalized wavelet monotone regression

Author keywords

Besov spaces; Constrained curve fitting; Monotonicity; Splines; Wavelet nonparametric regression; Wavelet thresholding; Wavelets

Indexed keywords


EID: 34548588408     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2007.03.041     Document Type: Article
Times cited : (16)

References (23)
  • 1
    • 0442312210 scopus 로고    scopus 로고
    • Regularization of wavelets approximations (with discussion)
    • Antoniadis A., and Fan J. Regularization of wavelets approximations (with discussion). J. Amer. Statist. Assoc. 96 455 (2001) 939-963
    • (2001) J. Amer. Statist. Assoc. , vol.96 , Issue.455 , pp. 939-963
    • Antoniadis, A.1    Fan, J.2
  • 5
    • 0032275446 scopus 로고    scopus 로고
    • Wavelet shrinkage for nonequispaced samples
    • Cai T.T., and Brown L.D. Wavelet shrinkage for nonequispaced samples. Ann. Statist. 26 (1998) 1783-1799
    • (1998) Ann. Statist. , vol.26 , pp. 1783-1799
    • Cai, T.T.1    Brown, L.D.2
  • 7
    • 0001968889 scopus 로고
    • On the bias inflexible functional forms and an essential unbiased form: the Fourier flexible form
    • Gallant R. On the bias inflexible functional forms and an essential unbiased form: the Fourier flexible form. J. Econometrics 15 (1981) 211-245
    • (1981) J. Econometrics , vol.15 , pp. 211-245
    • Gallant, R.1
  • 8
    • 34548559867 scopus 로고    scopus 로고
    • Monotone regression
    • Kotz S., Johnson N.L., Read C.B., Balakrishnan N., and Vidakovic B. (Eds), Wiley, New York, pp. 4951-4968
    • Gijbels I. Monotone regression. In: Kotz S., Johnson N.L., Read C.B., Balakrishnan N., and Vidakovic B. (Eds). Encyclopedia of Statistical Sciences. second ed (2005), Wiley, New York, pp. 4951-4968
    • (2005) Encyclopedia of Statistical Sciences. second ed
    • Gijbels, I.1
  • 9
    • 0035539846 scopus 로고    scopus 로고
    • Nonparametric kernel regression subject to monotonicity constraints
    • Hall P., and Huang L.-S. Nonparametric kernel regression subject to monotonicity constraints. Ann. Statist. 29 (2001) 624-647
    • (2001) Ann. Statist. , vol.29 , pp. 624-647
    • Hall, P.1    Huang, L.-S.2
  • 10
    • 0031510620 scopus 로고    scopus 로고
    • Interpolation methods for nonlinear wavelet regression with irregularly spaced design
    • Hall P., and Turlach B.A. Interpolation methods for nonlinear wavelet regression with irregularly spaced design. Ann. Statist. 25 (1997) 1912-1925
    • (1997) Ann. Statist. , vol.25 , pp. 1912-1925
    • Hall, P.1    Turlach, B.A.2
  • 11
    • 0000936815 scopus 로고
    • On consistency in monotonic regression
    • Hanson D.L., Pledger G., and Wright F.T. On consistency in monotonic regression. Ann. Statist. 1 3 (1973) 401-421
    • (1973) Ann. Statist. , vol.1 , Issue.3 , pp. 401-421
    • Hanson, D.L.1    Pledger, G.2    Wright, F.T.3
  • 12
    • 34548562719 scopus 로고    scopus 로고
    • Härdle, W., Kerkyacharian, G., Picard, D., Tsybakov, A., 1998. Wavelets, Approximation, and Statistical Applications. Lecture Notes in Statistics, vol. 129. Springer, Berlin.
  • 13
    • 0025677551 scopus 로고
    • Monotone smoothing with application to dose response curves and the assessment of synergism
    • Kelly C., and Rice J. Monotone smoothing with application to dose response curves and the assessment of synergism. Biometrics 46 (1990) 1071-1085
    • (1990) Biometrics , vol.46 , pp. 1071-1085
    • Kelly, C.1    Rice, J.2
  • 14
    • 34548553734 scopus 로고    scopus 로고
    • Kerkyacharian, G., Picard, D., 2003. Regression in random design and warped wavelets. Technical Report, Department of Mathematics, University Paris X, Nanterre, France.
  • 15
    • 0442325090 scopus 로고    scopus 로고
    • Extending the scope of wavelet regression methods by coefficient-dependent thresholding
    • Kovac A., and Silverman B.W. Extending the scope of wavelet regression methods by coefficient-dependent thresholding. J. Amer. Statist. Assoc. 95 (2000) 172-183
    • (2000) J. Amer. Statist. Assoc. , vol.95 , pp. 172-183
    • Kovac, A.1    Silverman, B.W.2
  • 16
    • 0001354703 scopus 로고
    • Estimating a smooth monotone regression function
    • Mammen E. Estimating a smooth monotone regression function. Ann. Statist. 19 (1991) 724-740
    • (1991) Ann. Statist. , vol.19 , pp. 724-740
    • Mammen, E.1
  • 17
    • 0012630251 scopus 로고    scopus 로고
    • A general projection framework for constrained smoothing
    • Mammen E., Marron J.S., Turlach B.A., and Wand M.P. A general projection framework for constrained smoothing. Statist. Sci. 16 (2001) 232-248
    • (2001) Statist. Sci. , vol.16 , pp. 232-248
    • Mammen, E.1    Marron, J.S.2    Turlach, B.A.3    Wand, M.P.4
  • 18
    • 0033241923 scopus 로고    scopus 로고
    • Smoothing splines and shape restrictions
    • Mammen E., and Thomas-Agnan C. Smoothing splines and shape restrictions. Scand. J. Statist. 26 (1999) 239-252
    • (1999) Scand. J. Statist. , vol.26 , pp. 239-252
    • Mammen, E.1    Thomas-Agnan, C.2
  • 19
    • 84972507631 scopus 로고
    • Monotone regression splines in action (with comments)
    • Ramsay J.O. Monotone regression splines in action (with comments). Statist. Sci. 3 (1988) 425-461
    • (1988) Statist. Sci. , vol.3 , pp. 425-461
    • Ramsay, J.O.1
  • 21
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar R.T. Convex Analysis (1969), Princeton University Press, Princeton, NJ
    • (1969) Convex Analysis
    • Rockafellar, R.T.1
  • 23
    • 3042547842 scopus 로고    scopus 로고
    • A simple and efficient monotone smoother using smoothing splines
    • Zhang J.-T. A simple and efficient monotone smoother using smoothing splines. J. Nonparametric Statist. 16 5 (2004) 779-796
    • (2004) J. Nonparametric Statist. , vol.16 , Issue.5 , pp. 779-796
    • Zhang, J.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.