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Volumn 85, Issue 3, 1998, Pages 631-643

Minimax regret analysis of orthogonal series regression estimation: Selection versus shrinkage

Author keywords

Hard and soft thresholding; Minimax regret decision theory; Nonlinear estimation; Nonparametric regression; Orthogonal series estimation; Wavelet

Indexed keywords


EID: 3142779229     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/85.3.631     Document Type: Article
Times cited : (9)

References (12)
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    • (1988) Ann. Statist. , vol.16 , pp. 713-732
    • Cox, D.D.1
  • 3
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • DONOHO, D. L. & JOHNSTONE, I. M. (1994). Ideal spatial adaptation by wavelet shrinkage. Biometrika 81, 425-55.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 5
    • 0001814260 scopus 로고
    • On finite sample properties of adaptive least squares regression estimates
    • DROGE, B. (1993). On finite sample properties of adaptive least squares regression estimates. Statistics 24, 181-203.
    • (1993) Statistics , vol.24 , pp. 181-203
    • Droge, B.1
  • 6
    • 0043141124 scopus 로고
    • On selecting the smoothing parameter of least squares regression estimates using the minimax regret approach
    • DROGE, B. & GEORG, T. (1995). On selecting the smoothing parameter of least squares regression estimates using the minimax regret approach. Statist. Decis. 13, 1-20
    • (1995) Statist. Decis. , vol.13 , pp. 1-20
    • Droge, B.1    Georg, T.2
  • 8
    • 0001838313 scopus 로고
    • Admissible variable-selection procedures when fitting regression models by least squares for prediction
    • KEMPTHORNE, P. J. (1984), Admissible variable-selection procedures when fitting regression models by least squares for prediction. Biometrika 71, 593-7.
    • (1984) Biometrika , vol.71 , pp. 593-597
    • Kempthorne, P.J.1
  • 9
    • 84915425007 scopus 로고
    • Some comments on Cp
    • MALLOWS. C. L. (1973). Some comments on Cp. Technometrics 15, 661-75.
    • (1973) Technometrics , vol.15 , pp. 661-675
    • Mallows, C.L.1
  • 11
    • 38249037345 scopus 로고
    • Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in L2
    • RAFAJLOWICZ, E. (1987). Nonparametric orthogonal series estimators of regression: a class attaining the optimal convergence rate in L2. Statist. Prob. Lett. 5, 219-24.
    • (1987) Statist. Prob. Lett. , vol.5 , pp. 219-224
    • Rafajlowicz, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.