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Volumn 88, Issue 3, 2001, Pages 805-820

Wavelet shrinkage for natural exponential families with quadratic variance functions

Author keywords

Crossvalidation mean squared error; Diagonal shrinkage estimation; Modulation estimator; Natural exponential family; Nonparametric regression; Smoothing; Wavelet shrinkage estimation

Indexed keywords


EID: 3042674778     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/88.3.805     Document Type: Article
Times cited : (41)

References (31)
  • 1
    • 0001849748 scopus 로고    scopus 로고
    • Wavelet analysis and its statistical applications
    • ABRAMOVICH, F., BAILEY, T. C. & 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
    • 0001243836 scopus 로고
    • The transformation of Poisson, binomial and negative binomial data
    • AKSCOMBE, F. J. (1948). The transformation of Poisson, binomial and negative binomial data. Biometrika 35, 246-54
    • (1948) Biometrika , vol.35 , pp. 246-254
    • Akscombe, F.J.1
  • 3
    • 0009689819 scopus 로고    scopus 로고
    • Wavelets in statistics: A review (with Discussion)
    • ANTONIADIS, A. (1997). Wavelets in statistics: a review (with Discussion). J. Ital. Statist. Soc. 6, 97-144.
    • (1997) J. Ital. Statist. Soc. , vol.6 , pp. 97-144
    • Antoniadis, A.1
  • 4
    • 0346107469 scopus 로고    scopus 로고
    • Nonparametric wavelet regression for binary response
    • ANTONIADIS, A. & LEBLANC, F. (2000). Nonparametric wavelet regression for binary response. Statistics 34, 183-213.
    • (2000) Statistics , vol.34 , pp. 183-213
    • Antoniadis, A.1    Leblanc, F.2
  • 5
    • 0039394747 scopus 로고    scopus 로고
    • Modulation of estimators and confidence sets
    • BERAN, R. & DüMBGEN, L. (1998). Modulation of estimators and confidence sets. Aim. Statist. 26, 1826-56.
    • (1998) Aim. Statist. , vol.26 , pp. 1826-1856
    • Beran, R.1    Dümbgen, L.2
  • 7
    • 0000370306 scopus 로고
    • Non-linear wavelet methods for recovery of signals, densities and spectra from indirect and noisy data
    • Ed. I. Daubechies, San Antonio, TX: American Mathematical Society.
    • DOXOHO, D. L. (1993). Non-linear wavelet methods for recovery of signals, densities and spectra from indirect and noisy data. In Proceedings of Symposia in Applied Mathematics: Different Perspectiies on Wavelets, 47, Ed. I. Daubechies, pp. 173-205. San Antonio, TX: American Mathematical Society.
    • (1993) Proceedings of Symposia in Applied Mathematics: Different Perspectiies on Wavelets , vol.47 , pp. 173-205
    • Doxoho, D.L.1
  • 8
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • DONOHO, D. L. & JOHNSTONE, I. M. (1994). Ideal spatial adaptation by wavelet shrinkage. Biometrika 81, 425-55.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 9
    • 84950459514 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • DONOHO, D. L. & JOHNSTONE, I. M. (1995). Adapting to unknown smoothness via wavelet shrinkage. J. Am. Statist. Assoc. 90, 1200-24.
    • (1995) J. Am. Statist. Assoc. , vol.90 , pp. 1200-1224
    • Donoho, D.L.1    Johnstone, I.M.2
  • 10
    • 0032334093 scopus 로고    scopus 로고
    • Minimax estimation via wavelet shrinkage
    • DONOHO, D. L. & JOHNSTONE, I. M. (1998). Minimax estimation via wavelet shrinkage. Ann. Statist. 26, 879-921.
    • (1998) Ann. Statist. , vol.26 , pp. 879-921
    • Donoho, D.L.1    Johnstone, I.M.2
  • 12
    • 0001605679 scopus 로고
    • Universal Donsker classes and metric entropy
    • DUDLEY, R. M. (1987). Universal Donsker classes and metric entropy. Ann. Prob. 15, 1306-26.
    • (1987) Ann. Prob. , vol.15 , pp. 1306-1326
    • Dudley, R.M.1
  • 13
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with B-splines and penalties (with Discussion)
    • EILERS, P. H. C. & MARX, B. D. (1996). Flexible smoothing with B-splines and penalties (with Discussion). Statist. Sci. 11,89-121.
    • (1996) Statist. Sci. , vol.11 , pp. 89-121
    • Eilers, P.H.C.1    Marx, B.D.2
  • 14
    • 84937905703 scopus 로고    scopus 로고
    • Nonparametric Regression and Spline Smoothing, 2nd ed
    • EUBANK, R. L. (1999). Nonparametric Regression and Spline Smoothing, 2nd ed. New York: Marcel Dekker.
    • (1999) New York: Marcel Dekker.
    • Eubank, R.L.1
  • 15
    • 0347311799 scopus 로고
    • Minimax Bayes, asymptotic minimax and sparse wavelet priors
    • Ed. S. S. Gupta and J. O. Berger, New York: Springer-Verlag.
    • JOHNSTONE, I. M. ( 1994). Minimax Bayes, asymptotic minimax and sparse wavelet priors. In Statistical Decision Theory and Related Topics, 5, Ed. S. S. Gupta and J. O. Berger, pp. 303-26. New York: Springer-Verlag.
    • (1994) Statistical Decision Theory and Related Topics , vol.5 , pp. 303-326
    • Johnstone, I.M.1
  • 16
    • 21744450423 scopus 로고    scopus 로고
    • Non-parametric estimation of Gamma-Ray burst intensities using Haar wavelets
    • KOLACZYK, E. D. (1997). Non-parametric estimation of Gamma-Ray burst intensities using Haar wavelets. Astropliys. J. 483, 340-9.
    • (1997) Astropliys. J. , vol.483 , pp. 340-349
    • Kolaczyk, E.D.1
  • 17
    • 0033410025 scopus 로고    scopus 로고
    • Wavelet shrinkage estimation of certain Poisson intensity signals using corrected thresholds
    • KOLACZYK, E. D. (1999a). Wavelet shrinkage estimation of certain Poisson intensity signals using corrected thresholds. Statist. Sinica 9, 119-35.
    • (1999) Statist. Sinica , vol.9 , pp. 119-135
    • Kolaczyk, E.D.1
  • 18
    • 1542427727 scopus 로고    scopus 로고
    • Bayesian multiscale models for Poisson processes
    • KOLACZYK, E. D. (1999b). Bayesian multiscale models for Poisson processes. J. Am. Statist. Assoc. 94,920-33.
    • (1999) J. Am. Statist. Assoc. , pp. 920-933
    • Kolaczyk, E.D.1
  • 19
    • 0442325090 scopus 로고    scopus 로고
    • Extending the scope of wavelet regression methods by coefficient-dependent thresholding
    • KOVAC, A. & SILVERMAN, B. W. (2000). Extending the scope of wavelet regression methods by coefficient-dependent thresholding. J. Am. Statist. Assoc. 95, 172-83.
    • (2000) J. Am. Statist. Assoc. , vol.95 , pp. 172-183
    • Kovac, A.1    Silverman, B.W.2
  • 20
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • MALLAT, S. G. (1989). A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pat. Anal. Mach. Intel. 11, 674-93
    • (1989) IEEE Trans. Pat. Anal. Mach. Intel. , vol.11 , pp. 674-693
    • Mallat, S.G.1
  • 23
    • 0002233396 scopus 로고
    • Natural exponential families with quadratic variance functions
    • MORRIS, C. N. (1982). Natural exponential families with quadratic variance functions. Ann. Statist. 10, 65-80.
    • (1982) Ann. Statist. , vol.10 , pp. 65-80
    • Morris, C.N.1
  • 24
    • 0000405155 scopus 로고
    • Natural exponential families with quadratic variance functions: Statistical theory
    • MORRIS, C. N. (1983). Natural exponential families with quadratic variance functions: statistical theory. Ann. Statist. 11,515-29
    • (1983) Ann. Statist. , pp. 515-529
    • Morris, C.N.1
  • 25
    • 0030735384 scopus 로고    scopus 로고
    • Optimal signal estimation using cross-validation
    • NOWAK, R. D. (1997). Optimal signal estimation using cross-validation. IEEE Sig. Procès. Lett. 4, 23-5.
    • (1997) IEEE Sig. Procès. Lett. , vol.4 , pp. 23-25
    • Nowak, R.D.1
  • 26
    • 0032634507 scopus 로고    scopus 로고
    • Wavelet domain filtering for photon imaging systems
    • NOWAK, R. D. & BARANIUK, R. G. ( 1999). Wavelet domain filtering for photon imaging systems. IEEE Trans. Image Process. 8, 666-78.
    • (1999) IEEE Trans. Image Process. , vol.8 , pp. 666-678
    • Nowak, R.D.1    Baraniuk, R.G.2
  • 27
    • 4243629161 scopus 로고    scopus 로고
    • Studies in astronomical time series analysis. V. Bayesian blocks, a new method to analyze structure in photon counting data
    • SCAROLE, J. D. (1998). Studies in astronomical time series analysis. V. Bayesian blocks, a new method to analyze structure in photon counting data. Astrophys. J. 504, 405-18.
    • (1998) Astrophys. J. , vol.504 , pp. 405-418
    • Scarole, J.D.1
  • 28
    • 0032628620 scopus 로고    scopus 로고
    • Multiscale modeling and estimation of Poisson processes with applications to photon-limited imaging
    • TIMMERMANN, K. E. & NOWAK, R. D. (1999). Multiscale modeling and estimation of Poisson processes with applications to photon-limited imaging. IEEE Trans. Info. Theory 45, 846-62.
    • (1999) IEEE Trans. Info. Theory , vol.45 , pp. 846-862
    • Timmermann, K.E.1    Nowak, R.D.2
  • 29
    • 0033478457 scopus 로고    scopus 로고
    • Covariance structure of wavelet coefficients: Theory and models in a Bayesian perspective
    • VANNUCCI, M. & CORRADI, F. (1999). Covariance structure of wavelet coefficients: theory and models in a Bayesian perspective. J. R. Statist. Soc. B 61, 971-86.
    • (1999) J. R. Statist. Soc. B , vol.61 , pp. 971-986
    • Vannucci, M.1    Corradi, F.2
  • 30
    • 33746313095 scopus 로고    scopus 로고
    • Statistical Modeling by Wavelets
    • VIDAKOVIC, B. (1999). Statistical Modeling by Wavelets. New York: Wiley.
    • (1999) New York: Wiley.
    • Vidakovic, B.1
  • 31
    • 0013136164 scopus 로고
    • A regression model for time series of counts
    • ZEGER, S. L. (1988). A regression model for time series of counts. Biometrika 75, 621-9.
    • (1988) Biometrika , vol.75 , pp. 621-629
    • Zeger, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.