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Comptes Rendus Mathematique
Volumn 342, Issue 11, 2006, Pages 877-882
Rates of convergence for nonparametric deconvolution
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EID: 33646565990     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2006.04.006     Document Type: Article
Times cited : (37)
References (11)
  • 1
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    • Butucea C. Deconvolution of supersmooth densities with smooth noise. Canad. J. Statist. 32 (2004) 181-192
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    • Butucea, C.1
  • 2
    • 33646561737 scopus 로고    scopus 로고
    • C. Butucea, A.B. Tsybakov, Sharp optimality for density deconvolution with dominating bias, Theory Probab. Appl., 2006, in press
  • 3
    • 0001736196 scopus 로고
    • Optimal rates of convergence for deconvolving a density
    • Carrol R.J., and Hall P. Optimal rates of convergence for deconvolving a density. J. Amer. Statist. Assoc. 83 (1988) 1184-1186
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 1184-1186
    • Carrol, R.J.1    Hall, P.2
  • 4
    • 33751016539 scopus 로고    scopus 로고
    • F. Comte, Y. Rozenholc, M.-L. Taupin, Penalized contrast estimator for adaptive density deconvolution, Canad. J. Statist. 34, 2006, in press
  • 5
    • 84988101319 scopus 로고
    • Consistent deconvolution in density estimation
    • Devroye L. Consistent deconvolution in density estimation. Canad. J. Statist. 17 (1989) 235-239
    • (1989) Canad. J. Statist. , vol.17 , pp. 235-239
    • Devroye, L.1
  • 6
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problem
    • Fan J. On the optimal rates of convergence for nonparametric deconvolution problem. Ann. Statist. 19 (1991) 1257-1272
    • (1991) Ann. Statist. , vol.19 , pp. 1257-1272
    • Fan, J.1
  • 7
    • 21144459605 scopus 로고
    • Adaptively local one-dimensional subproblems with application to a deconvolution problem
    • Fan J. Adaptively local one-dimensional subproblems with application to a deconvolution problem. Ann. Statist. 21 (1993) 600-610
    • (1993) Ann. Statist. , vol.21 , pp. 600-610
    • Fan, J.1
  • 8
    • 84988058829 scopus 로고
    • A consistent non-parametric density estimator for the deconvolution problem
    • Liu M.C., and Taylor R.L. A consistent non-parametric density estimator for the deconvolution problem. Canad. J. Statist. 17 (1989) 427-438
    • (1989) Canad. J. Statist. , vol.17 , pp. 427-438
    • Liu, M.C.1    Taylor, R.L.2
  • 9
    • 0033234633 scopus 로고    scopus 로고
    • Adaptive wavelet estimator for nonparametric density deconvolution
    • Pensky M., and Vidakovic B. Adaptive wavelet estimator for nonparametric density deconvolution. Ann. Statist. 27 (1999) 2033-2053
    • (1999) Ann. Statist. , vol.27 , pp. 2033-2053
    • Pensky, M.1    Vidakovic, B.2
  • 10
    • 38249019182 scopus 로고
    • Rates of convergence of some estimators in a class of deconvolution problems
    • Stefanski L. Rates of convergence of some estimators in a class of deconvolution problems. Statist. Probab. Lett. 9 (1990) 229-235
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    • Stefanski, L.1
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    • On the best rate of adaptive estimation in some inverse problems
    • Tsybakov A.B. On the best rate of adaptive estimation in some inverse problems. C. R. Acad. Sci. Paris, Ser. I 330 (2000) 835-840
    • (2000) C. R. Acad. Sci. Paris, Ser. I , vol.330 , pp. 835-840
    • Tsybakov, A.B.1

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