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Volumn 4, Issue 2, 1998, Pages 273-282

On global and pointwise adaptive estimation

Author keywords

analytic and Lipschitz functions; ef ciency; mean integrated squared error; mean squared error

Indexed keywords


EID: 2642576889     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318752     Document Type: Article
Times cited : (4)

References (18)
  • 2
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    • From model selection to adaptive estimation
    • D. Polard and G. Yang (eds) New York: Springer-Verlag
    • BirgeÂ, L. and Massart, P. (1996) From model selection to adaptive estimation. In D. Polard and G. Yang (eds) Festschrift for Lucien Le Cam, pp. 78±114. New York: Springer-Verlag.
    • (1996) Festschrift for Lucien Le Cam , pp. 78-114
    • BirgeÂ, L.1    Massart, P.2
  • 3
    • 0030327799 scopus 로고    scopus 로고
    • A constrained inequality with applications to nonparametric functional estimation
    • Brown, L.D. and Low, M.G. (1996a) A constrained inequality with applications to nonparametric functional estimation. Ann. Statist., 24, 2524±2535.
    • (1996) Ann. Statist , vol.24 , pp. 2524-2535
    • Brown, L.D.1    Low, M.G.2
  • 4
    • 0030335402 scopus 로고    scopus 로고
    • Asymptotic equivalence of nonparametric regression and white noise
    • Brown, L.D. and Low, M.G. (1996b) Asymptotic equivalence of nonparametric regression and white noise. Ann. Statist., 24, 2384±2398.
    • (1996) Ann. Statist , vol.24 , pp. 2384-2398
    • Brown, L.D.1    Low, M.G.2
  • 8
    • 21344493418 scopus 로고
    • Adaptive estimates of linear functionals
    • Efromovich, S. and Low, M. (1994) Adaptive estimates of linear functionals. Probab. Theory Related Fields, 98, 261±275.
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 261-275
    • Efromovich, S.1    Low, M.2
  • 9
    • 84904776239 scopus 로고
    • Learning algorithm for nonparametric ®ltering
    • Efromovich, S. and Pinsker, M.S. (1984) Learning algorithm for nonparametric ®ltering. Autom. Remote Control, 11, 1434±1440.
    • (1984) Autom. Remote Control , vol.11 , pp. 1434-1440
    • Efromovich, S.1    Pinsker, M.S.2
  • 10
    • 0000893122 scopus 로고    scopus 로고
    • Asymptotically ef®cient estimation for analytic distributions
    • Golubev, Y.K. and Levit, B.Y. (1996) Asymptotically ef®cient estimation for analytic distributions. Math. Methods Statist., 5, 357±368.
    • (1996) Math. Methods Statist , vol.5 , pp. 357-368
    • Golubev, Y.K.1    Levit, B.Y.2
  • 12
    • 0002282584 scopus 로고
    • On nonparametric estimation of the value of a linear functional in Gaussian white noise
    • Ibragimov, I.A. and Khasminskii, R.Z. (1984) On nonparametric estimation of the value of a linear functional in Gaussian white noise. Theory Probab. Applic., 29, 18±32.
    • (1984) Theory Probab. Applic , vol.29 , pp. 18-32
    • Ibragimov, I.A.1    Khasminskii, R.Z.2
  • 13
    • 0000012624 scopus 로고
    • On one problem of adaptive estimation in Gaussian white noise
    • Lepskii, O.V. (1990) On one problem of adaptive estimation in Gaussian white noise. Theory Probab. Applic., 35, 459±470.
    • (1990) Theory Probab. Applic , vol.35 , pp. 459-470
    • Lepskii, O.V.1
  • 15
    • 0030328670 scopus 로고    scopus 로고
    • Asymptotic equivalence of density estimation and Gaussian white noise
    • Nussbaum, M. (1996) Asymptotic equivalence of density estimation and Gaussian white noise. Ann. Statist., 24, 2399±2430.
    • (1996) Ann. Statist , vol.24 , pp. 2399-2430
    • Nussbaum, M.1
  • 16
    • 0000056063 scopus 로고
    • Optimal ®ltration of square-integrable signals in Gaussian noise
    • Pinsker, M.S. (1980) Optimal ®ltration of square-integrable signals in Gaussian noise. Problems Information Transmission, 16, 52±68.
    • (1980) Problems Information Transmission , vol.16 , pp. 52-68
    • Pinsker, M.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.