SCOPUS 정보 검색 플랫폼

Volumn 25, Issue 2, 1997, Pages 745-755

Minimax linear estimation in a white noise problem

Author keywords

Density estimation; Epanechnikov kernel; Linear minimax estimation; White noise model

Indexed keywords

EID: 0031520585 PISSN: 00905364 EISSN: None Source Type: Journal
DOI: 10.1214/aos/1031833671 Document Type: Article

Times cited : (10)

References (12)

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2
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3
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- Asymptotic minimax risk (for sup-norm loss): Solution via optimal recovery
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- Donoho, D.L.¹

4
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- Geometrizing rates of convergence. III
- DONOHO, D. L. and LIU, R. (1991). Geometrizing rates of convergence. III. Ann. Statist. 19 668-701.
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- Donoho, D.L.¹ Liu, R.²

5
- 0001014229
- Minimax risk over hyperrectangles and implications
- DONOHO, D. L., LIU, R. and MACGIBBON, B. (1990). Minimax risk over hyperrectangles and implications. Ann. Statist. 18 1416-1437.
- (1990) Ann. Statist. , vol.18 , pp. 1416-1437
- Donoho, D.L.¹ Liu, R.² Macgibbon, B.³

6
- 0001573354
- Renormalization exponents and optimal pointwise rates of convergence
- DONOHO, D. L. and Low, M. (1992). Renormalization exponents and optimal pointwise rates of convergence. Ann. Statist. 20 944-970.
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- Donoho, D.L.¹ Low, M.²

7
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- Nonparametric estimates of a multivariate probability density
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- Epanechnikov, V.A.¹

8
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- Exact constants in inequalities between norms of the derivatives of a function
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9
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- On nonparametric estimation of the value of a linear functional in Gaussian white noise
- IBRAGIMOV, I. A. and KHAS'MINSKI, R. Z. (1984). On nonparametric estimation of the value of a linear functional in Gaussian white noise. Theory Probab. Appl. 29 18-32.
- (1984) Theory Probab. Appl. , vol.29 , pp. 18-32
- Ibragimov, I.A.¹ Khas'minski, R.Z.²

10
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- Renormalization and white noise approximation for nonparametric functional estimation problems
- LOW, M. G. (1992). Renormalization and white noise approximation for nonparametric functional estimation problems. Ann. Statist. 20 545-554.
- (1992) Ann. Statist. , vol.20 , pp. 545-554
- Low, M.G.¹

11
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- Asymptotic equivalence of density estimation and white noise
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12
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- Asymptotically optimum kernels for density estimation at a point
- SACKS, J. and YLVISAKER, D. (1981). Asymptotically optimum kernels for density estimation at a point. Ann. Statist. 9 334-346.
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- Sacks, J.¹ Ylvisaker, D.²

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