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Volumn 26, Issue 3, 1999, Pages 465-473

Asymptotic minimax risk for the white noise model on the sphere

(1)  Klemelä, Jussi a  

a NONE

Author keywords

Asymptotic minimax risk; Exact constants in non parametric smoothing; Gaussian white noise; Spherical data; Uniform norm

Indexed keywords


EID: 0033244553     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00160     Document Type: Article
Times cited : (8)

References (8)
  • 1
    • 21344480943 scopus 로고
    • Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery
    • Donoho, D. L. (1994). Asymptotic minimax risk for sup-norm loss: solution via optimal recovery. Probab. Theory Related Fields 99, 145-170.
    • (1994) Probab. Theory Related Fields , vol.99 , pp. 145-170
    • Donoho, D.L.1
  • 2
    • 0000861689 scopus 로고
    • Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms
    • Giné, E. M. (1975). Invariant tests for uniformity on compact Riemannian manifolds based on Sobolev norms. Ann. Statist. 3, 1243-1266.
    • (1975) Ann. Statist. , vol.3 , pp. 1243-1266
    • Giné, E.M.1
  • 3
    • 0001445530 scopus 로고
    • Kernel density estimation with spherical data
    • Hall, P., Watson, G. S. & Cabrera, J. (1987). Kernel density estimation with spherical data. Biometrika 74, 751-762.
    • (1987) Biometrika , vol.74 , pp. 751-762
    • Hall, P.1    Watson, G.S.2    Cabrera, J.3
  • 4
    • 0001583657 scopus 로고
    • Nonparametric estimation of a probability density on a Riemannian manifold using Fourier expansions
    • Hendriks, H. (1990). Nonparametric estimation of a probability density on a Riemannian manifold using Fourier expansions. Ann. Statist. 18, 832-849.
    • (1990) Ann. Statist. , vol.18 , pp. 832-849
    • Hendriks, H.1
  • 5
    • 0000524793 scopus 로고
    • Exact asymptotically minimax estimator for nonparametric regression in uniform norm
    • Korostelev, A. P. (1993). Exact asymptotically minimax estimator for nonparametric regression in uniform norm. Theory Probab. Appl. 38, 775-782.
    • (1993) Theory Probab. Appl. , vol.38 , pp. 775-782
    • Korostelev, A.P.1
  • 6
    • 0000056063 scopus 로고
    • Optimal filtering of square integrable signals in Gaussian white noise
    • Pinsker, M. S. (1980). Optimal filtering of square integrable signals in Gaussian white noise. Problems Inform. Transmission 16, 52-68.
    • (1980) Problems Inform. Transmission , vol.16 , pp. 52-68
    • Pinsker, M.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.