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Volumn 47, Issue 1, 2000, Pages 85-90

The adaptive rate of convergence in a problem of pointwise density estimation

Author keywords

Adaptive density estimation; Minimax risk; Sobolev classes

Indexed keywords


EID: 0042278758     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(99)00141-8     Document Type: Article
Times cited : (13)

References (5)
  • 1
    • 0030327799 scopus 로고    scopus 로고
    • A constrained risk inequality with application to nonparametric functional estimation
    • Brown L.D., Low M.G. A constrained risk inequality with application to nonparametric functional estimation. Ann. Statist. 24:1996;2524-2535.
    • (1996) Ann. Statist. , vol.24 , pp. 2524-2535
    • Brown, L.D.1    Low, M.G.2
  • 2
    • 0041305202 scopus 로고    scopus 로고
    • Exact adaptive pointwise estimation on Sobolev classes of densities
    • CREST
    • Butucea, C., 1998. Exact adaptive pointwise estimation on Sobolev classes of densities. Doc. Travail 9818, CREST.
    • (1998) Doc. Travail , vol.9818
    • Butucea, C.1
  • 3
    • 0001573354 scopus 로고
    • Renormalization exponents and optimal pointwise rates of convergence
    • Donoho D.L., Low M.G. Renormalization exponents and optimal pointwise rates of convergence. Ann. Statist. 20:1992;944-970.
    • (1992) Ann. Statist. , vol.20 , pp. 944-970
    • Donoho, D.L.1    Low, M.G.2
  • 4
    • 0000012624 scopus 로고
    • On a problem of adaptive estimation in Gaussian white noise
    • Lepskii O.V. On a problem of adaptive estimation in Gaussian white noise. Theory Probab. Appl. 35:1990;454-466.
    • (1990) Theory Probab. Appl. , vol.35 , pp. 454-466
    • Lepskii, O.V.1
  • 5
    • 0032243618 scopus 로고    scopus 로고
    • Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
    • Tsybakov A.B. Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes. Ann. Statist. 26:1998;2420-2460.
    • (1998) Ann. Statist. , vol.26 , pp. 2420-2460
    • Tsybakov, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.