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Volumn 54, Issue 3, 2002, Pages 701-712

Density deconvolution of different conditional distributions

Author keywords

Deconvolution; Ill posed problem; Probability density

Indexed keywords

ESTIMATION; FOURIER TRANSFORMS; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; STATISTICS;

EID: 12244304144     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022435832605     Document Type: Article
Times cited : (6)

References (33)
  • 1
    • 0000521350 scopus 로고    scopus 로고
    • Wavelet decomposition approaches to statistical inverse problems
    • Abramovich, F. and Silverman, B. W. (1998). Wavelet decomposition approaches to statistical inverse problems, Biometrika, 85, 115-129.
    • (1998) Biometrika , vol.85 , pp. 115-129
    • Abramovich, F.1    Silverman, B.W.2
  • 3
    • 38249025656 scopus 로고
    • Analytic Bezout identities
    • Berenstein, C. A. and Yger, A. (1989). Analytic Bezout identities, Adv. Math., 10, 51-74.
    • (1989) Adv. Math. , vol.10 , pp. 51-74
    • Berenstein, C.A.1    Yger, A.2
  • 4
    • 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
  • 6
    • 0028742784 scopus 로고
    • Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms
    • Casey, S. D. and Walnut, D. F. (1994). Systems of convolution equations, deconvolution, Shannon sampling, and the wavelet and Gabor transforms, SIAM Rev., 36, 537-577.
    • (1994) SIAM Rev. , vol.36 , pp. 537-577
    • Casey, S.D.1    Walnut, D.F.2
  • 7
    • 0025878771 scopus 로고
    • An empirical Bayes formulation of cohort models in cancer epidemiology
    • Desouza, C. M. (1991). An empirical Bayes formulation of cohort models in cancer epidemiology, Statistics in Medicine, 10, 1241-1256.
    • (1991) Statistics in Medicine , vol.10 , pp. 1241-1256
    • Desouza, C.M.1
  • 8
    • 84988101319 scopus 로고
    • Consistent deconvolution in density estimation
    • Devroye, L. (1989). Consistent deconvolution in density estimation, Canad. J. Statist., 17, 235-239.
    • (1989) Canad. J. Statist. , vol.17 , pp. 235-239
    • Devroye, L.1
  • 9
    • 0001095533 scopus 로고
    • A fourier approach to nonparametric deconvolution of a density estimate
    • Diggle, P. J. and Hall, P. (1993). A Fourier approach to nonparametric deconvolution of a density estimate, J. Roy. Statist. Soc. Ser. B, 55, 523-531.
    • (1993) J. Roy. Statist. Soc. Ser. B , vol.55 , pp. 523-531
    • Diggle, P.J.1    Hall, P.2
  • 10
    • 0029288068 scopus 로고
    • Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
    • Donoho, D. (1995). Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition, Appl. Comput. Harmon. Anal., 2, 101-126.
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , pp. 101-126
    • Donoho, D.1
  • 11
    • 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
  • 13
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problem
    • Fan, J. (1991a). On the optimal rates of convergence for nonparametric deconvolution problem, Ann. Statist., 19, 1257-1272.
    • (1991) Ann. Statist. , vol.19 , pp. 1257-1272
    • Fan, J.1
  • 14
    • 0002688277 scopus 로고
    • Asymptotic normality for deconvolution kernel density estimators
    • Fan, J. (1991b). Asymptotic normality for deconvolution kernel density estimators, Sankhyā Ser. A, 53, 97-110.
    • (1991) Sankhya Ser. A , vol.53 , pp. 97-110
    • Fan, J.1
  • 15
    • 0002531005 scopus 로고
    • Global behavior of deconvolution kernel estimates
    • Fan, J. (1991c). Global behavior of deconvolution kernel estimates, Statist. Sinica, 1, 541-551.
    • (1991) Statist. Sinica , vol.1 , pp. 541-551
    • Fan, J.1
  • 16
    • 84988123046 scopus 로고
    • Deconvolution with supersmooth distributions
    • Fan, J. (1992). Deconvolution with supersmooth distributions, Canad. J. Statist., 20, 155-169.
    • (1992) Canad. J. Statist. , vol.20 , pp. 155-169
    • Fan, J.1
  • 17
    • 21144459605 scopus 로고
    • Adaptively local one-dimensional subproblems with application to a deconvolution problem
    • Fan, J. (1993). Adaptively local one-dimensional subproblems with application to a deconvolution problem, Ann. Statist., 21, 600-610.
    • (1993) Ann. Statist. , vol.21 , pp. 600-610
    • Fan, J.1
  • 18
    • 84968495637 scopus 로고
    • Generators for some rings of analytic functions
    • Hörmander, L. (1967). Generators for some rings of analytic functions, Bull. Amer. Math. Soc., 73, 943-949.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 943-949
    • Hörmander, L.1
  • 19
    • 84988058829 scopus 로고
    • A consistent nonparametric density estimator for the deconvolution problem
    • Liu, M. C. and Taylor, R. L. (1989). A consistent nonparametric density estimator for the deconvolution problem, Canad. J. Statist., 17, 427-438.
    • (1989) Canad. J. Statist. , vol.17 , pp. 427-438
    • Liu, M.C.1    Taylor, R.L.2
  • 20
    • 0025853117 scopus 로고
    • Using empirical Bayes methods in biopharmaceutical research
    • Loius, T. A. (1991). Using empirical Bayes methods in biopharmaceutical research, Statistics in Medicine, 10, 811-827.
    • (1991) Statistics in Medicine , vol.10 , pp. 811-827
    • Loius, T.A.1
  • 21
    • 0026186424 scopus 로고
    • Multivariate probability density deconvolution for stationary random processes
    • Masry, E. (1991). Multivariate probability density deconvolution for stationary random processes, IEEE Trans. Inform. Theory, 37, 1105-1115.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 1105-1115
    • Masry, E.1
  • 22
    • 0002454664 scopus 로고
    • Strong consistency and rates for deconvolution of multivariate densities of stationary processes
    • Masry, E. (1993a). Strong consistency and rates for deconvolution of multivariate densities of stationary processes, Stochastic Process. Appl., 47, 53-74.
    • (1993) Stochastic Process. Appl. , vol.47 , pp. 53-74
    • Masry, E.1
  • 23
    • 0002178640 scopus 로고
    • Asymptotic normality for deconvolution estimators of multivariate densities of stationary processes
    • Masry, E. (1993b). Asymptotic normality for deconvolution estimators of multivariate densities of stationary processes, J. Multivariate Anal., 44, 47-68.
    • (1993) J. Multivariate Anal. , vol.44 , pp. 47-68
    • Masry, E.1
  • 24
    • 12244297488 scopus 로고
    • Optimal estimation of prior densities of multidimensional location and scale parameters
    • Tech. Report, Statistical Series 1994-275, Department of Mathematics and Statistics, University of Guelph, Canada
    • Pensky, M. and Singh, R. S. (1994). Optimal estimation of prior densities of multidimensional location and scale parameters, Tech. Report, Statistical Series 1994-275, Department of Mathematics and Statistics, University of Guelph, Canada.
    • (1994)
    • Pensky, M.1    Singh, R.S.2
  • 25
    • 0033234633 scopus 로고    scopus 로고
    • Adaptive wavelet estimator for nonparametric density deconvolution
    • Pensky, M. and Vidakovic, B. (1999). Adaptive wavelet estimator for nonparametric density deconvolution, Ann. Statist., 27, 2033-2053.
    • (1999) Ann. Statist. , vol.27 , pp. 2033-2053
    • Pensky, M.1    Vidakovic, B.2
  • 26
    • 0002211356 scopus 로고
    • On asymptotic distribution of integrated squared error of an estimate of a component of a convolution
    • Piterbarg, V. and Pensky, M. (1993). On asymptotic distribution of integrated squared error of an estimate of a component of a convolution, Math. Methods Statist., 2, 30-41.
    • (1993) Math. Methods Statist. , vol.2 , pp. 30-41
    • Piterbarg, V.1    Pensky, M.2
  • 27
    • 84972949113 scopus 로고
    • Deconvoluting kernel density estimators
    • Stefanski, L. and Carroll, R. J. (1990). Deconvoluting kernel density estimators, Statistics, 21, 169-184.
    • (1990) Statistics , vol.21 , pp. 169-184
    • Stefanski, L.1    Carroll, R.J.2
  • 28
    • 0001460450 scopus 로고
    • On a strongly consistent non-parametric density estimator for deconvolution problem
    • Taylor, R. L. and Zhang, H. M. (1990). On a strongly consistent non-parametric density estimator for deconvolution problem, Comm. Statist. Theory Methods, 19, 3325-3342.
    • (1990) Comm. Statist. Theory Methods , vol.19 , pp. 3325-3342
    • Taylor, R.L.1    Zhang, H.M.2
  • 30
    • 0000025706 scopus 로고    scopus 로고
    • Density estimation in the presence of noise
    • Walter, G. G. (1999). Density estimation in the presence of noise, Statist. Probab. Lett., 41, 237-246.
    • (1999) Statist. Probab. Lett. , vol.41 , pp. 237-246
    • Walter, G.G.1
  • 32
    • 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
  • 33
    • 0001062710 scopus 로고
    • On estimating mixing densities in discrete exponential family models
    • Zhang, C. H. (1995). On estimating mixing densities in discrete exponential family models, Ann. Statist., 23, 929-945.
    • (1995) Ann. Statist. , vol.23 , pp. 929-945
    • Zhang, C.H.1


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