메뉴 건너뛰기




Volumn 11, Issue 2, 2005, Pages 309-340

Minimax estimation of the noise level and of the deconvolution density in a semiparametric convolution model

Author keywords

Analytic densities; Deconvolution; L2 risk; Minimax estimation; Noise level; Pointwise risk; Semiparametric model; Sobolev classes; Supersmooth densities

Indexed keywords


EID: 33751159778     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1116340297     Document Type: Article
Times cited : (53)

References (13)
  • 1
    • 84858745362 scopus 로고    scopus 로고
    • Exact adaptive pointwise estimation on Sobolev classes of densities
    • Butucea, C. (2001) Exact adaptive pointwise estimation on Sobolev classes of densities, ESAIM Probab. Statist., 5, 1-31.
    • (2001) ESAIM Probab. Statist. , vol.5 , pp. 1-31
    • Butucea, C.1
  • 3
    • 0001736196 scopus 로고
    • Optimal rates of convergence for deconvolving a density
    • Carroll, R.J. and Hall, P. (1988) Optimal rates of convergence for deconvolving a density. J. Amer. Statist. Assoc., 83, 1184-1186.
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 1184-1186
    • Carroll, R.J.1    Hall, P.2
  • 4
    • 0031533944 scopus 로고    scopus 로고
    • Density estimation for the case of supersmooth measurement error
    • Efromovich, S. (1997) Density estimation for the case of supersmooth measurement error. J. Amer. Statist. Assoc., 92, 526-535.
    • (1997) J. Amer. Statist. Assoc. , vol.92 , pp. 526-535
    • Efromovich, S.1
  • 5
    • 0000937636 scopus 로고    scopus 로고
    • On pointwise adaptive nonparametric deconvolution
    • Goldenshluger, A. (1999) On pointwise adaptive nonparametric deconvolution, Bernoulli, 5, 907-925.
    • (1999) Bernoulli , vol.5 , pp. 907-925
    • Goldenshluger, A.1
  • 6
    • 0036275559 scopus 로고    scopus 로고
    • Density deconvolution in the circular structural model
    • Goldenshluger, A. (2002) Density deconvolution in the circular structural model. J. Multivariate Anal., 81, 360-375.
    • (2002) J. Multivariate Anal. , vol.81 , pp. 360-375
    • Goldenshluger, A.1
  • 8
    • 0034347413 scopus 로고    scopus 로고
    • Empirical geometry of multivariate data: A deconvolution approach
    • Koltchinskii, V.I. (2000) Empirical geometry of multivariate data: a deconvolution approach, Ann. Statist., 28, 591-629.
    • (2000) Ann. Statist. , vol.28 , pp. 591-629
    • Koltchinskii, V.I.1
  • 9
    • 0001256994 scopus 로고
    • Exponential family mixture models (with least-squares estimators)
    • Lindsay, B.G. (1986) Exponential family mixture models (with least-squares estimators). Ann. Statist., 14, 124-137.
    • (1986) Ann. Statist. , vol.14 , pp. 124-137
    • Lindsay, B.G.1
  • 10
    • 0036997830 scopus 로고    scopus 로고
    • Semiparametric deconvolution with unknown noise variance
    • Matias, C. (2002) Semiparametric deconvolution with unknown noise variance, ESAIM Probab. Statist., 6, 271-292.
    • (2002) ESAIM Probab. Statist. , vol.6 , pp. 271-292
    • Matias, C.1
  • 12
    • 0002055609 scopus 로고
    • Fourier methods for estimating mixing densities and distributions
    • Zhang, C.-H. (1990) Fourier methods for estimating mixing densities and distributions, Ann. Statist., 18, 806-831.
    • (1990) Ann. Statist. , vol.18 , pp. 806-831
    • Zhang, C.-H.1
  • 13
    • 0003588120 scopus 로고
    • Transl. Math. Monogr. 65. Providence, RI: American Mathematical Society
    • Zolotarev, V. (1986) One-Dimensional Stable Distributions, Transl. Math. Monogr. 65. Providence, RI: American Mathematical Society.
    • (1986) One-dimensional Stable Distributions
    • Zolotarev, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.