메뉴 건너뛰기




Volumn 35, Issue 5, 2007, Pages 1907-1930

Goodness-of-fit testing and quadratic functional estimation from indirect observations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 41449118443     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053607000000118     Document Type: Article
Times cited : (48)

References (32)
  • 1
    • 0001667487 scopus 로고
    • Estimating integrated squared density derivatives: Sharp best order of convergence estimates
    • BICKEL, P. J. and RITOV, Y. (1988). Estimating integrated squared 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.J.1    RITOV, Y.2
  • 2
    • 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
  • 3
    • 3142667676 scopus 로고    scopus 로고
    • Asymptotic normality of the integrated square error of a density estimator in the convolution model
    • BUTUCEA, C. (2004). Asymptotic normality of the integrated square error of a density estimator in the convolution model. SORT 28 9-25.
    • (2004) SORT , vol.28 , pp. 9-25
    • BUTUCEA, C.1
  • 4
    • 50449107140 scopus 로고    scopus 로고
    • BUTACEA, C. (2004). Goodness-of-fit testing and quadratic functional estimation from indirect observations. Long version with Appendix. Available at arxiv.org/abs/math/0612361.
    • BUTACEA, C. (2004). Goodness-of-fit testing and quadratic functional estimation from indirect observations. Long version with Appendix. Available at arxiv.org/abs/math/0612361.
  • 5
    • 33751159778 scopus 로고    scopus 로고
    • Minimax estimation of the noise level and of the deconvolution density in a semiparametric convolution model
    • BUTUCEA, C. and MATIAS, C. (2005). Minimax estimation of the noise level and of the deconvolution density in a semiparametric convolution model. Bernoulli 11 309-340.
    • (2005) Bernoulli , vol.11 , pp. 309-340
    • BUTUCEA, C.1    MATIAS, C.2
  • 6
    • 79961020518 scopus 로고    scopus 로고
    • Sharp optimality for density deconvolution with dominating bias. I, II
    • To appear
    • BUTUCEA, C. and TSYBAKOV, A. B. (2007). Sharp optimality for density deconvolution with dominating bias. I, II. Theory Probab. Appl. 51. To appear.
    • (2007) Theory Probab. Appl , vol.51
    • BUTUCEA, C.1    TSYBAKOV, A.B.2
  • 8
    • 33751016539 scopus 로고    scopus 로고
    • Penalized contrast estimator for density deconvolution
    • COMTE, F., ROZENHOLC, Y. and TAUPIN, M.-L. (2006). Penalized contrast estimator for density deconvolution. Canad. J. Statist. 34 431-452.
    • (2006) Canad. J. Statist , vol.34 , pp. 431-452
    • COMTE, F.1    ROZENHOLC, Y.2    TAUPIN, M.-L.3
  • 9
    • 1142268196 scopus 로고    scopus 로고
    • Practical bandwidth selection in deconvolution kernel density estimation
    • DELAIGLE, A. and GIJBELS, I. (2004). Practical bandwidth selection in deconvolution kernel density estimation. Comput. Statist. Data Anal. 45 249-267.
    • (2004) Comput. Statist. Data Anal , vol.45 , pp. 249-267
    • DELAIGLE, A.1    GIJBELS, I.2
  • 10
    • 0030503140 scopus 로고    scopus 로고
    • On optimal adaptive estimation of a quadratic functional
    • EFROMOVICH, S. and LOW, M. (1996). On optimal adaptive estimation of a quadratic functional. Ann. Statist. 24 1106-1125.
    • (1996) Ann. Statist , vol.24 , pp. 1106-1125
    • EFROMOVICH, S.1    LOW, M.2
  • 11
    • 21844492672 scopus 로고
    • Minimax nonparametric testing of hypotheses on a distribution density
    • ERMAKOV, M. S. (1994). Minimax nonparametric testing of hypotheses on a distribution density. Theory Probab. Appl. 39 396-416.
    • (1994) Theory Probab. Appl , vol.39 , pp. 396-416
    • ERMAKOV, M.S.1
  • 12
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problems
    • FAN, J. (1991). On the optimal rates of convergence for nonparametric deconvolution problems. Ann. Statist. 19 1257-1272.
    • (1991) Ann. Statist , vol.19 , pp. 1257-1272
    • FAN, J.1
  • 13
    • 0001097057 scopus 로고
    • On the estimation of quadratic functionals
    • FAN, J. (1991). On the estimation of quadratic functionals. Ann. Statist. 19 1273-1294.
    • (1991) Ann. Statist , vol.19 , pp. 1273-1294
    • FAN, J.1
  • 14
    • 33746242094 scopus 로고    scopus 로고
    • Adaptive goodness-of-fit tests in a density model
    • FROMONT, M. and LAURENT, B. (2006). Adaptive goodness-of-fit tests in a density model. Ann. Statist. 34 680-720.
    • (2006) Ann. Statist , vol.34 , pp. 680-720
    • FROMONT, M.1    LAURENT, B.2
  • 15
    • 27844440351 scopus 로고    scopus 로고
    • Adaptive minimax testing in the discrete regression scheme
    • GAYRAUD, G. and POUET, C. (2005). Adaptive minimax testing in the discrete regression scheme. Probab. Theory Related Fields 133 531-558.
    • (2005) Probab. Theory Related Fields , vol.133 , pp. 531-558
    • GAYRAUD, G.1    POUET, C.2
  • 16
    • 38249035197 scopus 로고
    • Estimation of integrated squared density derivatives
    • HALL, P. and MARRON, J. 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, J.S.2
  • 17
    • 0000263477 scopus 로고
    • Asymptotically normal families of distributions and efficient estimation
    • IBRAGIMOV, I. A. and KHAS'MINSKII, R. Z. (1991). Asymptotically normal families of distributions and efficient estimation. Ann. Statist. 19 1681-1724.
    • (1991) Ann. Statist , vol.19 , pp. 1681-1724
    • IBRAGIMOV, I.A.1    KHAS'MINSKII, R.Z.2
  • 18
    • 50449103491 scopus 로고    scopus 로고
    • INGSTER, YU. I. (1993). Asymptotically minimax hypothesis testing for nonparametric alternatives. I, II, III. Math. Methods Statist. 2 85-114, 171-189, 249-268.
    • INGSTER, YU. I. (1993). Asymptotically minimax hypothesis testing for nonparametric alternatives. I, II, III. Math. Methods Statist. 2 85-114, 171-189, 249-268.
  • 19
    • 0030508979 scopus 로고    scopus 로고
    • Estimating nonquadratic functionals of a density using Haar wavelets
    • KERKYACHARIAN, G. and PICARD, D. (1996). Estimating nonquadratic functionals of a density using Haar wavelets. Ann. Statist. 24 485-507.
    • (1996) Ann. Statist , vol.24 , pp. 485-507
    • KERKYACHARIAN, G.1    PICARD, D.2
  • 20
    • 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
  • 21
    • 0000458553 scopus 로고    scopus 로고
    • Adaptive minimax estimation of infinitely differentiable functions
    • LEPSKI, O. V. and LEVIT, B. Y. (1998). Adaptive minimax estimation of infinitely differentiable functions. Math. Methods Statist. 7 123-156.
    • (1998) Math. Methods Statist , vol.7 , pp. 123-156
    • LEPSKI, O.V.1    LEVIT, B.Y.2
  • 22
    • 0034399225 scopus 로고    scopus 로고
    • Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point
    • LEPSKI, O. V. and TSYBAKOV, A. B. (2000). Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point. Probab. Theory Related Fields 117 17-48.
    • (2000) Probab. Theory Related Fields , vol.117 , pp. 17-48
    • LEPSKI, O.V.1    TSYBAKOV, A.B.2
  • 23
    • 0017991843 scopus 로고
    • Asymptotically efficient estimation of nonlinear functionals
    • LEVIT, B. YA. (1978). Asymptotically efficient estimation of nonlinear functionals. Problems Inform. Transmission 14 204-209.
    • (1978) Problems Inform. Transmission , vol.14 , pp. 204-209
    • LEVIT, B.Y.1
  • 26
    • 33749834642 scopus 로고    scopus 로고
    • On testing nonparametric hypotheses for analytic regression functions in Gaussian noise
    • POUET, C. (1999). On testing nonparametric hypotheses for analytic regression functions in Gaussian noise. Math. Methods Statist. 8 536-549.
    • (1999) Math. Methods Statist , vol.8 , pp. 536-549
    • POUET, C.1
  • 27
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components (with discussion)
    • RICHARDSON, S. and GREEN, P. J. (1997). On Bayesian analysis of mixtures with an unknown number of components (with discussion). J. Roy. Statist. Soc. Ser. B 59 731-792.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 731-792
    • RICHARDSON, S.1    GREEN, P.J.2
  • 28
    • 21744460005 scopus 로고    scopus 로고
    • Practical Bayesian density estimation using mixtures of normals
    • ROEDER, K. and WASSERMAN, L. (1997). Practical Bayesian density estimation using mixtures of normals. J. Amer. Statist. Assoc. 92 894-902.
    • (1997) J. Amer. Statist. Assoc , vol.92 , pp. 894-902
    • ROEDER, K.1    WASSERMAN, L.2
  • 30
    • 0030342998 scopus 로고    scopus 로고
    • Adaptive hypothesis testing using wavelets
    • SPOKOINY, V. G. (1996). Adaptive hypothesis testing using wavelets. Ann. Statist. 24 2477-2498.
    • (1996) Ann. Statist , vol.24 , pp. 2477-2498
    • SPOKOINY, V.G.1
  • 31
    • 0034374610 scopus 로고    scopus 로고
    • Bayesian analysis of mixture models with an unknown number of components - an alternative to reversible jump methods
    • STEPHENS, M. (2000). Bayesian analysis of mixture models with an unknown number of components - an alternative to reversible jump methods. Ann. Statist. 28 40-74.
    • (2000) Ann. Statist , vol.28 , pp. 40-74
    • STEPHENS, M.1
  • 32
    • 28044442733 scopus 로고    scopus 로고
    • Adaptive estimation of integrated functionals
    • TRIBOULEY, K. (2000). Adaptive estimation of integrated functionals. Math. Methods Statist. 9 19-38.
    • (2000) Math. Methods Statist , vol.9 , pp. 19-38
    • TRIBOULEY, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.