메뉴 건너뛰기




Volumn 27, Issue 3, 2000, Pages 475-499

Non-parametric curve estimation by wavelet thresholding with locally stationary errors

Author keywords

Local stationarity; Minimax estimation; Non linear wavelet thresholding; Nonstationary time series; Threshold choice; Time varying covariance

Indexed keywords


EID: 0034258212     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00202     Document Type: Article
Times cited : (43)

References (27)
  • 3
    • 0003260218 scopus 로고    scopus 로고
    • Asymptotical statistical inference for nonstationary processes with evolutionary spectra
    • Athens conference on applied probability and time series analysis (eds P. M. Robinson & M. Rosenblatt). Springer Verlag, New York
    • Dahlhaus, R. (1996). Asymptotical statistical inference for nonstationary processes with evolutionary spectra. In Athens conference on applied probability and time series analysis (eds P. M. Robinson & M. Rosenblatt). Volume 2. Lecture Notes in Statistics 115, 145-159. Springer Verlag, New York.
    • (1996) Volume 2. Lecture Notes in Statistics , vol.115 , pp. 145-159
    • Dahlhaus, R.1
  • 4
    • 0031518090 scopus 로고    scopus 로고
    • Fitting times series models to nonstationary processes
    • Dahlhaus, R. (1997). Fitting times series models to nonstationary processes. Ann. Statist. 25, 1-37.
    • (1997) Ann. Statist. , vol.25 , pp. 1-37
    • Dahlhaus, R.1
  • 5
    • 0011243724 scopus 로고    scopus 로고
    • Non-linear wavelet estimation of time-varying autoregressive processes
    • Dahlhaus, R., Neumann, M. & von Sachs, R. (1999). Non-linear wavelet estimation of time-varying autoregressive processes. Bernoulli 5, 873-906.
    • (1999) Bernoulli , vol.5 , pp. 873-906
    • Dahlhaus, R.1    Neumann, M.2    Von Sachs, R.3
  • 6
    • 0001291561 scopus 로고
    • A non-gaussian model for time series with pulses
    • Diggle, P. & Zeger, S. (1989). A non-Gaussian model for time series with pulses. J. Amer. Statist. Assoc. 84, 354-359.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 354-359
    • Diggle, P.1    Zeger, S.2
  • 7
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • Donoho, D. L. & Johnstone, I. M. (1994). Ideal spatial adaptation by wavelet shrinkage. Biometrika 81, 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 8
    • 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. Amer. Statist. Assoc. 90, 1200-1224.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 1200-1224
    • Donoho, D.L.1    Johnstone, I.M.2
  • 9
    • 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
    • 0003292476 scopus 로고
    • Littlewood-Paley theory and the study of function spaces
    • American Mathematical Society, Providence, RI
    • Frazier, M., Jawerth, B. & Weiss, G. (1991). Littlewood-Paley theory and the study of function spaces. CBMS-Conference Lecture Notes 79, American Mathematical Society, Providence, RI.
    • (1991) CBMS-Conference Lecture Notes 79
    • Frazier, M.1    Jawerth, B.2    Weiss, G.3
  • 13
    • 21344435700 scopus 로고    scopus 로고
    • Effect of threshold rules on performance of wavelet-based curve estimators
    • Hall, P. & Patil, P. (1996). Effect of threshold rules on performance of wavelet-based curve estimators. Statist. Sinica 6, 331-345.
    • (1996) Statist. Sinica , vol.6 , pp. 331-345
    • Hall, P.1    Patil, P.2
  • 14
    • 0001173556 scopus 로고
    • Choice of bandwidth for kernel regression when residuals are correlated
    • Herrmann, E., Gasser, T. & Kneip, A. (1992). Choice of bandwidth for kernel regression when residuals are correlated. Biometrika 79, 783-795.
    • (1992) Biometrika , vol.79 , pp. 783-795
    • Herrmann, E.1    Gasser, T.2    Kneip, A.3
  • 15
    • 0033408849 scopus 로고    scopus 로고
    • Wavelet shrinkage for correlated data and inverse problems: Adaptivity results
    • Johnstone, I. M. (1999). Wavelet shrinkage for correlated data and inverse problems: adaptivity results. Statist. Sinica 9, 51-83.
    • (1999) Statist. Sinica , vol.9 , pp. 51-83
    • Johnstone, I.M.1
  • 16
    • 0001013273 scopus 로고    scopus 로고
    • Wavelet threshold estimators for data with correlated noise
    • Johnstone, I. M. & Silverman, B. W. (1997). Wavelet threshold estimators for data with correlated noise. J. Roy. Statist. Soc. Ser. B 59, 319-351.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 319-351
    • Johnstone, I.M.1    Silverman, B.W.2
  • 17
    • 0024803037 scopus 로고
    • Circannual cycles of luteinizing hormone and prolactin secretion in ewes during prolonged exposure to a fixed photoperiod: Evidence for an endogenous reproductive rhythm
    • Karsch, F. J., Robinson, J. E., Woodfill, C. & Brown, M. B. (1989). Circannual cycles of luteinizing hormone and prolactin secretion in ewes during prolonged exposure to a fixed photoperiod: evidence for an endogenous reproductive rhythm. Biol. Reproduction 41, 1034-1046.
    • (1989) Biol. Reproduction , vol.41 , pp. 1034-1046
    • Karsch, F.J.1    Robinson, J.E.2    Woodfill, C.3    Brown, M.B.4
  • 18
    • 77956887597 scopus 로고
    • Detecting dependencies in smooth regression models
    • Müller, H.-G. & Stadtmüller, U. (1988). Detecting dependencies in smooth regression models. Biometrika 75, 539-550.
    • (1988) Biometrika , vol.75 , pp. 539-550
    • Müller, H.-G.1    Stadtmüller, U.2
  • 19
    • 0001786009 scopus 로고    scopus 로고
    • Spectral density estimation via nonlinear wavelet methods for stationary non-gaussian time series
    • Neumann, M. H. (1996). Spectral density estimation via nonlinear wavelet methods for stationary non-Gaussian time series. J. Time Ser. Anal. 17, 601-633.
    • (1996) J. Time Ser. Anal. , vol.17 , pp. 601-633
    • Neumann, M.H.1
  • 20
    • 0000099541 scopus 로고
    • Wavelet thresholding: Beyond the gaussian i.i.d. Situation
    • Wavelets and statistics, (eds A. Antoniadis & G. Oppenheim), Springer Verlag, New York
    • Neumann, M. H. & von Sachs, R. (1995). Wavelet thresholding: beyond the Gaussian i.i.d. situation. In Wavelets and statistics, (eds A. Antoniadis & G. Oppenheim), Lecture Notes in Statistics 103, 301-329. Springer Verlag, New York.
    • (1995) Lecture Notes in Statistics , vol.103 , pp. 301-329
    • Neumann, M.H.1    Von Sachs, R.2
  • 21
    • 0031517528 scopus 로고    scopus 로고
    • Wavelet thresholding in anisotropic function classes and application to adaptive estimation of evolutionary spectra
    • Neumann, M. H. & von Sachs, R. (1997). Wavelet thresholding in anisotropic function classes and application to adaptive estimation of evolutionary spectra. Ann. Statist. 25, 38-76.
    • (1997) Ann. Statist. , vol.25 , pp. 38-76
    • Neumann, M.H.1    Von Sachs, R.2
  • 22
    • 0027946785 scopus 로고
    • Identification of aperiodic seasonality in non-Gaussian time series
    • Normolle, D. P. & Brown, M. B. (1994). Identification of aperiodic seasonality in non-Gaussian time series. Biometrics 50, 798-812.
    • (1994) Biometrics , vol.50 , pp. 798-812
    • Normolle, D.P.1    Brown, M.B.2
  • 23
    • 0023785961 scopus 로고
    • Deconvolution of episodic hormone data: An analysis of the role of season on the onset of puberty in cows
    • O'Sullivan, F. & O'Sullivan, J. (1988). Deconvolution of episodic hormone data: an analysis of the role of season on the onset of puberty in cows. Biometrics, 44, 339-353.
    • (1988) Biometrics , vol.44 , pp. 339-353
    • O'Sullivan, F.1    O'Sullivan, J.2
  • 24
    • 0001954743 scopus 로고
    • A general lemma on probabilities of large deviations
    • Rudzkis, R., Saulis, L. & Statulevicius, V. (1978). A general lemma on probabilities of large deviations. Lithuanian Math. J. 18, 226-238.
    • (1978) Lithuanian Math. J. , vol.18 , pp. 226-238
    • Rudzkis, R.1    Saulis, L.2    Statulevicius, V.3
  • 25
    • 0001392104 scopus 로고    scopus 로고
    • Wavelet smoothing of evolutionary spectra by non-linear thresholding
    • von Sachs, R. & Schneider, K. (1996). Wavelet smoothing of evolutionary spectra by non-linear thresholding. Appl. Comput. Harmonic Anal. 3, 268-282.
    • (1996) Appl. Comput. Harmonic Anal. , vol.3 , pp. 268-282
    • Sachs, R.1    Schneider, K.2
  • 26
    • 0000169918 scopus 로고
    • Estimation of the mean of a multivariable normal distribution
    • Stein, C. (1981). Estimation of the mean of a multivariable normal distribution. Ann. Statist. 9, 1135-1151.
    • (1981) Ann. Statist. , vol.9 , pp. 1135-1151
    • Stein, C.1
  • 27
    • 0030492140 scopus 로고    scopus 로고
    • Function estimation via wavelet shrinkage for long-memory data
    • Wang, Y. (1996). Function estimation via wavelet shrinkage for long-memory data. Ann. Statist. 24, 466-484.
    • (1996) Ann. Statist. , vol.24 , pp. 466-484
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.