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Volumn 18, Issue 3, 2008, Pages 1007-1024

Wavelet estimation via block thresholding: A minimax study under L p RISK

Author keywords

Besov spaces; Block thresholding; Convolution in gaussian white noise model; Lp risk; Minimax estimation; Wavelets

Indexed keywords


EID: 55349114045     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (17)
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    • Cai, T.1
  • 2
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    • On block thresholding in wavelet regression: Adaptivity, block size and threshold level
    • Cai, T. (2002). On block thresholding in wavelet regression: adaptivity, block size and threshold level. Statist. Sinica 12, 1241-1273.
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    • Cai, T.1
  • 3
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    • Cavalier, L. and Tsybakov, A. (2001). Penalized block-wise Stein's method, monotone oracles and sharp adaptive estimation. Math. Meth. Statist. 10, 247-282.
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    • Cavalier, L.1    Tsybakov, A.2
  • 4
    • 0036022583 scopus 로고    scopus 로고
    • Sharp adaptation for inverse problems with random noise
    • Cavalier, L. and Tsybakov, A. (2002). Sharp adaptation for inverse problems with random noise. Probab. Theory Related Fields 123, 323-354.
    • (2002) Probab. Theory Related Fields , vol.123 , pp. 323-354
    • Cavalier, L.1    Tsybakov, A.2
  • 8
    • 0027873602 scopus 로고
    • Unconditional bases are optimal bases for data compression and statistical estimation
    • Donoho, D. L. (1993). Unconditional bases are optimal bases for data compression and statistical estimation. Appl. Comput. Harmon. Anal. 1, 100-115.
    • (1993) Appl. Comput. Harmon. Anal , vol.1 , pp. 100-115
    • Donoho, D.L.1
  • 9
    • 0000468364 scopus 로고    scopus 로고
    • Unconditional bases and bit-level compression
    • Donoho, D. L. (1996). Unconditional bases and bit-level compression. Appl. Comput. Harmon. Anal. 3, 388-392.
    • (1996) Appl. Comput. Harmon. Anal , vol.3 , pp. 388-392
    • Donoho, D.L.1
  • 10
    • 84950459514 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • Donoho, D. L. and Johnstone, I. M. (1995). Adapting to unknown smoothness via wavelet shrinkage. J. Amer. Statist. Assoc. 90, 432, 1200-1224.
    • (1995) J. Amer. Statist. Assoc , vol.90 , Issue.432 , pp. 1200-1224
    • Donoho, D.L.1    Johnstone, I.M.2
  • 11
    • 0347181848 scopus 로고    scopus 로고
    • On the minimax optimality of Block thresholded wavelet estimators
    • Hall, P., Kerkyacharian, G. and Picard, D. (1999). On the minimax optimality of Block thresholded wavelet estimators. Statist. Sinica 9, 33-49.
    • (1999) Statist. Sinica , vol.9 , pp. 33-49
    • Hall, P.1    Kerkyacharian, G.2    Picard, D.3
  • 14
    • 0346638494 scopus 로고    scopus 로고
    • Thresholding algorithms, maxisets and well concentrated bases
    • Kerkyacharian, G. and Picard, D. (2000). Thresholding algorithms, maxisets and well concentrated bases. Test 9, 283-345.
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    • Kerkyacharian, G.1    Picard, D.2
  • 16
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    • Adaptive confidence interval for pointwise curve estimation
    • Picard, D. and Tribouley, K. (2000). Adaptive confidence interval for pointwise curve estimation. Ann. Statist. 28, 298-335.
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    • Picard, D.1    Tribouley, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.