메뉴 건너뛰기




Volumn 43, Issue 3, 1997, Pages 872-889

Adaptive de-noising of signals satisfying differential inequalities

Author keywords

Adaptation; Differential inequalities; Lower bounds; Minimax risk; Nonparametric estimation; Optimal in order estimators

Indexed keywords

ADAPTIVE SYSTEMS; OPTIMIZATION; PARAMETER ESTIMATION; RISK ASSESSMENT; SET THEORY; SIGNAL TO NOISE RATIO;

EID: 0031139385     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.568698     Document Type: Article
Times cited : (29)

References (14)
  • 1
    • 84950459514 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • D. Donoho and I. Johnstone, "Adapting to unknown smoothness via wavelet shrinkage," J. Amer. Stat. Assoc., vol. 90, pp. 1200-1224, 1995.
    • (1995) J. Amer. Stat. Assoc. , vol.90 , pp. 1200-1224
    • Donoho, D.1    Johnstone, I.2
  • 2
    • 0041958932 scopus 로고
    • Ideal spatial adaptation via wavelet shrinkage
    • _, "Ideal spatial adaptation via wavelet shrinkage," Biometrika, vol. 81, pp. 425-455, 1994.
    • (1994) Biometrika , vol.81 , pp. 425-455
  • 3
    • 0003834180 scopus 로고
    • Minimax estimation via wavelet shrinkage
    • Dept. Statist., Stanford Univ., Stanford, CA
    • _, "Minimax estimation via wavelet shrinkage," Tech. Rep., Dept. Statist., Stanford Univ., Stanford, CA, 1992.
    • (1992) Tech. Rep.
  • 5
    • 0040006038 scopus 로고
    • On nonparametric estimation of regression
    • I. Ibragimov and R. Khasminskii, "On nonparametric estimation of regression," Sov. Math.-Dokl., vol. 21, pp. 810-814, 1980.
    • (1980) Sov. Math.-Dokl. , vol.21 , pp. 810-814
    • Ibragimov, I.1    Khasminskii, R.2
  • 6
    • 0003940118 scopus 로고
    • New York: Springer-Verlag
    • _, Statistical Estimation. New York: Springer-Verlag, 1981.
    • (1981) Statistical Estimation
  • 7
    • 30244465906 scopus 로고
    • Wavelet estimators: Adapting to unknown smoothness
    • IRISA, Rennes, France
    • A. Juditsky, "Wavelet estimators: Adapting to unknown smoothness," Tech. Rep., IRISA, Rennes, France, 1994.
    • (1994) Tech. Rep.
    • Juditsky, A.1
  • 8
    • 0000012624 scopus 로고
    • On a problem of adaptive estimation in Gaussian white noise
    • O. Lepskii, "On a problem of adaptive estimation in Gaussian white noise," Theory of Probab. and Its Appl., vol. 35, pp. 454-466, 1990.
    • (1990) Theory of Probab. and Its Appl. , vol.35 , pp. 454-466
    • Lepskii, O.1
  • 9
    • 0001066342 scopus 로고
    • Asymptotically minimax adaptive estimation I: Upper bounds. Optimally adaptive estimates
    • _, "Asymptotically minimax adaptive estimation I: Upper bounds. Optimally adaptive estimates," Theory of Probab. and Its Appl., vol. 36, pp. 682-697, 1991.
    • (1991) Theory of Probab. and Its Appl. , vol.36 , pp. 682-697
  • 10
    • 33748828537 scopus 로고
    • Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors
    • O. Lepskii, E. Mammen, and V. Spokoiny, "Optimal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selectors," Tech. Rep., 1994.
    • (1994) Tech. Rep.
    • Lepskii, O.1    Mammen, E.2    Spokoiny, V.3
  • 11
    • 0019631118 scopus 로고
    • Prediction under conditions of indeterminacy
    • A. Nemirovskii, "Prediction under conditions of indeterminacy," Probl. Inform. Transm., vol. 17, pp. 268-275, 1981.
    • (1981) Probl. Inform. Transm. , vol.17 , pp. 268-275
    • Nemirovskii, A.1
  • 12
    • 0022148698 scopus 로고
    • On nonparametric estimation of smooth regression functions
    • _, "On nonparametric estimation of smooth regression functions," J. Comput. Syst. Sci., vol. 23, pp. 1-11, 1986.
    • (1986) J. Comput. Syst. Sci. , vol.23 , pp. 1-11
  • 13
    • 3943072091 scopus 로고
    • On nonparametric estimation of functions satisfying differential inequalities
    • _, "On nonparametric estimation of functions satisfying differential inequalities," Adv. Sov. Math., vol. 12, pp. 7-43, 1992.
    • (1992) Adv. Sov. Math. , vol.12 , pp. 7-43
  • 14
    • 0000439527 scopus 로고
    • Optimal rates of convergence for nonparametric estimators
    • C. Stone, "Optimal rates of convergence for nonparametric estimators," Ann. Statist., vol. 8, pp. 1348-1360, 1980.
    • (1980) Ann. Statist. , vol.8 , pp. 1348-1360
    • Stone, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.