메뉴 건너뛰기




Volumn 64, Issue 2, 2002, Pages 189-205

Posterior probability intervals for wavelet thresholding

Author keywords

Bayes estimation; Cumulants; Curve estimation; Interval estimates; Johnson curves; Nonparametric regression; Powers of wavelets

Indexed keywords


EID: 0036013003     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00332     Document Type: Article
Times cited : (18)

References (33)
  • 1
    • 0001849748 scopus 로고    scopus 로고
    • Wavelet analysis and its statistical applications
    • Abramovich, F., Bailey, T.C. and Sapatinas, T. (2000) Wavelet analysis and its statistical applications. Statistician, 49, 1-29.
    • (2000) Statistician , vol.49 , pp. 1-29
    • Abramovich, F.1    Bailey, T.C.2    Sapatinas, T.3
  • 2
    • 0009727215 scopus 로고    scopus 로고
    • Bayesian approach to wavelet decomposition and shrinkage
    • Abramovich, F. and Sapatinas, T. (1999) Bayesian approach to wavelet decomposition and shrinkage. Lect. Notes Statist., 141, 33-50.
    • (1999) Lect. Notes Statist. , vol.141 , pp. 33-50
    • Abramovich, F.1    Sapatinas, T.2
  • 5
    • 0028668801 scopus 로고
    • Some river wavelets
    • Brillinger, D.R. (1994) Some river wavelets. Environmetrics, 5, 211-220.
    • (1994) Environmetrics , vol.5 , pp. 211-220
    • Brillinger, D.R.1
  • 6
    • 3042982523 scopus 로고    scopus 로고
    • Uses of cumulants in wavelets analysis
    • _, (1996) Uses of cumulants in wavelets analysis. J. Nonparam. Statist., 6, 93-114.
    • (1996) J. Nonparam. Statist. , vol.6 , pp. 93-114
  • 7
    • 0000835306 scopus 로고    scopus 로고
    • Understanding WaveShrink: Variance and bias estimation
    • Bruce, A.G. and Goa, H.Y. (1996) Understanding WaveShrink: variance and bias estimation. Biometrika, 83, 727-745.
    • (1996) Biometrika , vol.83 , pp. 727-745
    • Bruce, A.G.1    Goa, H.Y.2
  • 9
    • 0011521795 scopus 로고    scopus 로고
    • Prior elicitation in the wavelet domain. Lect
    • Chipman, H.A. and Wolfson, L.J. (1999) Prior elicitation in the wavelet domain. Lect. Notes Statist., 141, 83-94.
    • (1999) Notes Statist. , vol.141 , pp. 83-94
    • Chipman, H.A.1    Wolfson, L.J.2
  • 10
    • 0034354040 scopus 로고    scopus 로고
    • Flexible empirical Bayes estimation for wavelets
    • Clyde, M. and George, E.I. (2000) Flexible empirical Bayes estimation for wavelets. J.R. Statist. Soc. B, 62, 681-698.
    • (2000) J.R. Statist. Soc. B , vol.62 , pp. 681-698
    • Clyde, M.1    George, E.I.2
  • 11
    • 0001682758 scopus 로고    scopus 로고
    • Multiple shrinkage and subset selection in wavelets
    • Clyde, M., Parmigiani, G. and Vidakovic, B. (1998) Multiple shrinkage and subset selection in wavelets. Biometrika, 85, 391-402.
    • (1998) Biometrika , vol.85 , pp. 391-402
    • Clyde, M.1    Parmigiani, G.2    Vidakovic, B.3
  • 12
    • 0027840161 scopus 로고
    • Wavelets on the interval and fast wavelet transforms
    • Cohen, A., Daubechies, I. and Vial, P. (1993) Wavelets on the interval and fast wavelet transforms. Appl. Comput. Harm. Anal., 1, 54-81.
    • (1993) Appl. Comput. Harm. Anal. , vol.1 , pp. 54-81
    • Cohen, A.1    Daubechies, I.2    Vial, P.3
  • 13
    • 33747727601 scopus 로고    scopus 로고
    • Wavelet-based statistical signal processing using hidden markov models
    • Crouse, M., Nowak, R. and Baraniuk, R. (1998) Wavelet-based statistical signal processing using hidden Markov models. IEEE Trans. Signal Process., 46, 886-902.
    • (1998) IEEE Trans. Signal Process. , vol.46 , pp. 886-902
    • Crouse, M.1    Nowak, R.2    Baraniuk, R.3
  • 14
    • 0003833285 scopus 로고
    • Philadelphia: Society for Industrial and Applied Mathematics.
    • Daubechies, I. (1992) Ten Lectures on Wavelets. Philadelphia: Society for Industrial and Applied Mathematics.
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 15
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • Donoho, D.L. and Johnstone, I.M. (1994) Ideal spatial adaptation by wavelet shrinkage. Biometrika, 81, 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 16
    • 84950459514 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • _, (1995) Adapting to unknown smoothness via wavelet shrinkage. J. Am. Statist. Ass., 90, 1200-1224.
    • (1995) J. Am. Statist. Ass. , vol.90 , pp. 1200-1224
  • 20
    • 0001108366 scopus 로고
    • Algorithm AS 100: Normal-Johnson and Johnson-Normal transformations
    • Hill, I.D. (1976) Algorithm AS 100: Normal-Johnson and Johnson-Normal transformations. Appl. Statist., 25, 190-192.
    • (1976) Appl. Statist. , vol.25 , pp. 190-192
    • Hill, I.D.1
  • 21
    • 0000574915 scopus 로고
    • Algorithm AS 99: Fitting Johnson curves by moments
    • Hill, I.D., Hill, R. and Holder, R.L. (1976) Algorithm AS 99: Fitting Johnson curves by moments. Appl. Statist., 25, 180-189.
    • (1976) Appl. Statist. , vol.25 , pp. 180-189
    • Hill, I.D.1    Hill, R.2    Holder, R.L.3
  • 22
    • 0003016558 scopus 로고    scopus 로고
    • Bayesian wavelet analysis with a model complexity prior
    • (eds J.M. Bernardo, J.O. Berger, A.P. Dawid and A.F.M. Smith), Oxford: Oxford University Press
    • Holmes, C.C. and Denison, D.G.T. (1999) Bayesian wavelet analysis with a model complexity prior. In Bayesian Statistics 6 (eds J.M. Bernardo, J.O. Berger, A.P. Dawid and A.F.M. Smith), pp. 769-776. Oxford: Oxford University Press.
    • (1999) Bayesian Statistics 6 , pp. 769-776
    • Holmes, C.C.1    Denison, D.G.T.2
  • 23
    • 39049139625 scopus 로고
    • Systems of frequency curves generated by methods of translation
    • Johnson, N.L. (1949) Systems of frequency curves generated by methods of translation. Biometrika, 36, 149-176.
    • (1949) Biometrika , vol.36 , pp. 149-176
    • Johnson, N.L.1
  • 26
    • 0032662774 scopus 로고    scopus 로고
    • Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors
    • Moulin, P. and Liu, J. (1999) Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors. IEEE Trans. Inform. Theory, 45, 909-919.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 909-919
    • Moulin, P.1    Liu, J.2
  • 27
    • 0011521796 scopus 로고    scopus 로고
    • Department of Mathematics, University of Bristol, Bristol
    • Nason, G.P. (1998) Wavethresh3 Software. Department of Mathematics, University of Bristol, Bristol. (Available from http://www.stats.bris.ac.uk/~wavethresh).
    • (1998) Wavethresh3 Software
    • Nason, G.P.1
  • 29
    • 0034375491 scopus 로고    scopus 로고
    • Adaptive confidence interval for pointwise curve estimation
    • Picard, D. and Tribouley, K. (2000) Adaptive confidence interval for pointwise curve estimation. Ann. Statist., 28, 298-335.
    • (2000) Ann. Statist. , vol.28 , pp. 298-335
    • Picard, D.1    Tribouley, K.2
  • 30
    • 0003256642 scopus 로고
    • Kendall's advanced theory of statistics
    • London: Arnold
    • Stuart, A. and Ord, J.K. (1994) Kendall's Advanced Theory of Statistics, vol. 1, Distribution Theory, 6th edn. London: Arnold.
    • (1994) Distribution Theory, 6th edn. , vol.1
    • Stuart, A.1    Ord, J.K.2
  • 31
    • 0032349461 scopus 로고    scopus 로고
    • Nonlinear wavelet shrinkage with Bayes rules and Bayes factors
    • Vidakovic, B. (1998) Nonlinear wavelet shrinkage with Bayes rules and Bayes factors. J. Am. Statist. Ass., 93, 173-179.
    • (1998) J. Am. Statist. Ass. , vol.93 , pp. 173-179
    • Vidakovic, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.