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Volumn 24, Issue 2, 1996, Pages 485-507

Estimating nonquadratic functionals of a density using Haar wavelets

Author keywords

Estimation of nonlinear functionals; Integral functionals of a density; Minimax estimation; U statistic; Wavelet estimate

Indexed keywords


EID: 0030508979     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032894450     Document Type: Article
Times cited : (36)

References (18)
  • 2
    • 0001667487 scopus 로고
    • Estimating integrated squares density derivatives: Sharp best order of convergence estimates
    • BICKEL, P. and RITOV, Y. (1988). Estimating integrated squares density derivatives: sharp best order of convergence estimates. Sankhyā Ser. A 50 381-393.
    • (1988) Sankhyā Ser. A , vol.50 , pp. 381-393
    • Bickel, P.1    Ritov, Y.2
  • 3
    • 21844523744 scopus 로고
    • Estimation of integral functionals of a density
    • BIRGÉ, L. and MASSART, P. (1995). Estimation of integral functionals of a density. Ann. Statist. 23 11-29.
    • (1995) Ann. Statist. , vol.23 , pp. 11-29
    • Birgé, L.1    Massart, P.2
  • 5
    • 38249016845 scopus 로고
    • Minimax quadratic estimation of a quadratic functional
    • DONOHO, D. and NUSSBAUM, M. (1990). Minimax quadratic estimation of a quadratic functional. J. Complexity 6 290-323.
    • (1990) J. Complexity , vol.6 , pp. 290-323
    • Donoho, D.1    Nussbaum, M.2
  • 6
    • 21144482567 scopus 로고
    • Optimal plug-in estimate for nonparametric functional estimation
    • GOLDSTEIN, L. and MESSER, K. (1992). Optimal plug-in estimate for nonparametric functional estimation. Ann. Statist. 20 1306-1328.
    • (1992) Ann. Statist. , vol.20 , pp. 1306-1328
    • Goldstein, L.1    Messer, K.2
  • 7
    • 38249035197 scopus 로고
    • Estimation of integrated squared density derivatives
    • HALL, P. and MARRON, S. (1987). Estimation of integrated squared density derivatives. Statist. Probab. Lett. 6 109-115.
    • (1987) Statist. Probab. Lett. , vol.6 , pp. 109-115
    • Hall, P.1    Marron, S.2
  • 11
    • 0003118859 scopus 로고
    • Density estimation by kernel and wavelet method: Link between kernel geometry and regularity constraints
    • KERKYACHARIAN, G. and PICARD, D. (1992b). Density estimation by kernel and wavelet method: link between kernel geometry and regularity constraints. C. R. Acad. Sci. Paris Sér. I Math. 315 79-84.
    • (1992) C. R. Acad. Sci. Paris Sér. I Math. , vol.315 , pp. 79-84
    • Kerkyacharian, G.1    Picard, D.2
  • 12
    • 0001669632 scopus 로고
    • Density estimation by kernel and wavelet methods: Optimality of Besov spaces
    • KERKYACHARIAN, G. and PICAHD, D. (1993). Density estimation by kernel and wavelet methods: optimality of Besov spaces. Statist. Probab. Lett. 18 327-336.
    • (1993) Statist. Probab. Lett. , vol.18 , pp. 327-336
    • Kerkyacharian, G.1    Picahd, D.2
  • 13
    • 0030490121 scopus 로고    scopus 로고
    • Efficient estimation of integral functionals of a density
    • LAURENT, B. (1996). Efficient estimation of integral functionals of a density. Ann. Statist. 24 659-681.
    • (1996) Ann. Statist. , vol.24 , pp. 659-681
    • Laurent, B.1
  • 14
    • 0040377640 scopus 로고
    • Asymptotically efficient estimation of non linear functionals
    • LEVIT, B. (1979). Asymptotically efficient estimation of non linear functionals. Problems Inform. Transmission 14 65-72.
    • (1979) Problems Inform. Transmission , vol.14 , pp. 65-72
    • Levit, B.1
  • 16
    • 0040377637 scopus 로고
    • On necessary conditions for efficient estimation of functional of a non parametric signal in white noise model
    • NEMIROVSKII, A. S. (1990). On necessary conditions for efficient estimation of functional of a non parametric signal in white noise model. Theory Probab. Appl. 35 94-103.
    • (1990) Theory Probab. Appl. , vol.35 , pp. 94-103
    • Nemirovskii, A.S.1
  • 18
    • 0000197891 scopus 로고
    • Achieving information bounds in non and semi parametric models
    • RITOV, Y. and BICKEL, P. (1990). Achieving information bounds in non and semi parametric models. Ann. Statist. 18 925-938.
    • (1990) Ann. Statist. , vol.18 , pp. 925-938
    • Ritov, Y.1    Bickel, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.