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Volumn 61, Issue 1, 1999, Pages 63-84

Density and hazard rate estimation for right-censored data by using wavelet methods

Author keywords

Hazard rate; Survival data; Wavelet estimation

Indexed keywords


EID: 0033473457     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00163     Document Type: Article
Times cited : (61)

References (39)
  • 1
    • 0009135247 scopus 로고
    • A penalty method for nonparametric estimation of the intensity of a counting process
    • Antoniadis, A. (1989) A penalty method for nonparametric estimation of the intensity of a counting process. Ann. Inst. Math. Statist., 41, 781-807.
    • (1989) Ann. Inst. Math. Statist. , vol.41 , pp. 781-807
    • Antoniadis, A.1
  • 2
    • 0030500040 scopus 로고    scopus 로고
    • Smoothing noisy data with tapered coiflet series
    • _(1996) Smoothing noisy data with tapered coiflet series. Scand. J. Statist., 23, 313-330.
    • (1996) Scand. J. Statist. , vol.23 , pp. 313-330
  • 3
    • 0001884459 scopus 로고
    • Penalized likelihood estimation for rates with censored survival data
    • Antoniadis, A. and Grégoire, G. (1990) Penalized likelihood estimation for rates with censored survival data. Scand. J. Statist., 17, 43-63.
    • (1990) Scand. J. Statist. , vol.17 , pp. 43-63
    • Antoniadis, A.1    Grégoire, G.2
  • 6
    • 0009140483 scopus 로고
    • Les déterminants individuels de la durée de chomâge
    • Bonnal, L. and Fougère, D. (1990) Les déterminants individuels de la durée de chomâge. Econ. Prévsn, 96, 113-129.
    • (1990) Econ. Prévsn , vol.96 , pp. 113-129
    • Bonnal, L.1    Fougère, D.2
  • 8
    • 84946380048 scopus 로고
    • Partitioning estimates of a regression function under random censoring
    • Carbonez, A., Györfi, L. and Van der Meulen, E. C. (1995) Partitioning estimates of a regression function under random censoring. Statist. Decisn., 13, 21-37.
    • (1995) Statist. Decisn. , vol.13 , pp. 21-37
    • Carbonez, A.1    Györfi, L.2    Van Der Meulen, E.C.3
  • 9
    • 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, 54-82.
    • (1993) Appl. Comput. Harm. Anal. , vol.1 , pp. 54-82
    • Cohen, A.1    Daubechies, I.2    Vial, P.3
  • 10
    • 0001543892 scopus 로고
    • Non-parametric regression with censored survival time data
    • Dabrowska, D. M. (1987) Non-parametric regression with censored survival time data. Scand. J. Statist., 14, 181-197.
    • (1987) Scand. J. Statist. , vol.14 , pp. 181-197
    • Dabrowska, D.M.1
  • 11
    • 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
  • 12
    • 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
  • 13
    • 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
  • 15
    • 0001529786 scopus 로고
    • Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator
    • Dvoretsky, A., Kiefer, J. and Wolfowitz, J. (1956) Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator. Ann. Math. Statist., 23, 277-281.
    • (1956) Ann. Math. Statist. , vol.23 , pp. 277-281
    • Dvoretsky, A.1    Kiefer, J.2    Wolfowitz, J.3
  • 16
    • 0009215447 scopus 로고
    • Sequential nonparametric estimation of a density
    • Efromovitch, S. Y. (1989) Sequential nonparametric estimation of a density. Theory Probab. Applic., 34, 228-239.
    • (1989) Theory Probab. Applic. , vol.34 , pp. 228-239
    • Efromovitch, S.Y.1
  • 17
    • 21144472187 scopus 로고
    • Flexible methods for analyzing survival data using splines, with applications to breast cancer prognosis
    • Gray, R. J. (1992) Flexible methods for analyzing survival data using splines, with applications to breast cancer prognosis. J. Am. Statist. Ass., 87, 942-951.
    • (1992) J. Am. Statist. Ass. , vol.87 , pp. 942-951
    • Gray, R.J.1
  • 20
    • 0003097597 scopus 로고
    • Smoothing by weighted averaging of rounded points
    • Härdle, W. and Scott, D. W. (1992) Smoothing by weighted averaging of rounded points. Comput. Statist., 7, 97-128.
    • (1992) Comput. Statist. , vol.7 , pp. 97-128
    • Härdle, W.1    Scott, D.W.2
  • 21
    • 0009216977 scopus 로고
    • Bounds for the risk of nonparametric regression estimates
    • Ibragimov, I. A. and Khasminski, R. Z. (1982) Bounds for the risk of nonparametric regression estimates. Theory Probab. Applic., 27, 84-99.
    • (1982) Theory Probab. Applic. , vol.27 , pp. 84-99
    • Ibragimov, I.A.1    Khasminski, R.Z.2
  • 22
    • 0000930441 scopus 로고
    • Logspline density estimation for censored data
    • Kooperberg, C. and Stone, C. J. (1992) Logspline density estimation for censored data. J. Comput. Graph. Statist., 1, 301-328.
    • (1992) J. Comput. Graph. Statist. , vol.1 , pp. 301-328
    • Kooperberg, C.1    Stone, C.J.2
  • 23
    • 0000319005 scopus 로고
    • The estimation of probability densities and cumulatives by Fourier series methods
    • Kronmal, R. and Tarter, M. (1968) The estimation of probability densities and cumulatives by Fourier series methods. J. Am. Statist. Ass., 63, 925-952.
    • (1968) J. Am. Statist. Ass. , vol.63 , pp. 925-952
    • Kronmal, R.1    Tarter, M.2
  • 24
    • 0009215448 scopus 로고
    • Technical Report AT&T Bell Laboratories, Princeton
    • Loader, C. (1995) Locfit: a program for local fitting. Technical Report. AT&T Bell Laboratories, Princeton. (Available from http://cm.bell-labs.com/stat/project/locfit/index.html.)
    • (1995) Locfit: A Program for Local Fitting
    • Loader, C.1
  • 28
    • 0000674772 scopus 로고    scopus 로고
    • Wavelet shrinkage using cross-validation
    • _(1996) Wavelet shrinkage using cross-validation. J. R. Statist. Soc. B, 58, 463-479.
    • (1996) J. R. Statist. Soc. B , vol.58 , pp. 463-479
  • 31
    • 0001047094 scopus 로고
    • Fast computation of fully automated log-density and log-hazard estimators
    • O'Sullivan, F. (1988) Fast computation of fully automated log-density and log-hazard estimators. SIAM J. Sci. Statist. Comput., 9, 363-379.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 363-379
    • O'Sullivan, F.1
  • 32
    • 38249039763 scopus 로고
    • Central limit theorem for perturbed empirical distribution functions evaluated at a random point
    • Puri, M. L. and Ralescu, S. S. (1986) Central limit theorem for perturbed empirical distribution functions evaluated at a random point. J. Multiv. Anal., 19, 273-279.
    • (1986) J. Multiv. Anal. , vol.19 , pp. 273-279
    • Puri, M.L.1    Ralescu, S.S.2
  • 33
    • 0000439527 scopus 로고
    • Optimal global rates of convergence for nonparametric regression
    • Stone, C. J. (1982) Optimal global rates of convergence for nonparametric regression. Ann. Statist., 10, 1040-1053.
    • (1982) Ann. Statist. , vol.10 , pp. 1040-1053
    • Stone, C.J.1
  • 34
    • 0009142688 scopus 로고
    • Data-based nonparametric estimation of the hazard function with applications to model diagnostics and exploratory analysis
    • Tanner, M. A. and Wong, W. H. (1984) Data-based nonparametric estimation of the hazard function with applications to model diagnostics and exploratory analysis. J. Am. Statist. Ass., 79, 174-182.
    • (1984) J. Am. Statist. Ass. , vol.79 , pp. 174-182
    • Tanner, M.A.1    Wong, W.H.2
  • 35
    • 0009219243 scopus 로고
    • Adaptive density estimation
    • Tribouley, K. (1995) Adaptive density estimation. Lect. Notes Statist., 103, 385-396.
    • (1995) Lect. Notes Statist. , vol.103 , pp. 385-396
    • Tribouley, K.1
  • 36
    • 33845232504 scopus 로고
    • Approximation of the delta function by wavelets
    • Walter, G. G. (1992) Approximation of the delta function by wavelets. J. Approx. Theory, 71, 329-343.
    • (1992) J. Approx. Theory , vol.71 , pp. 329-343
    • Walter, G.G.1
  • 37
    • 84984385338 scopus 로고
    • Strong uniform consistency of integrals of density estimators
    • Winter, B. B. (1973) Strong uniform consistency of integrals of density estimators. Can. J. Statist., 1, 247-253.
    • (1973) Can. J. Statist. , vol.1 , pp. 247-253
    • Winter, B.B.1
  • 38
    • 0001272608 scopus 로고
    • Convergence rate of perturbed empirical distribution functions
    • _(1979) Convergence rate of perturbed empirical distribution functions. J. Appl. Probab., 16, 163-173.
    • (1979) J. Appl. Probab. , vol.16 , pp. 163-173
  • 39
    • 38249004738 scopus 로고
    • A note on limit theorems for perturbed empirical processes
    • Yukish, J. E. (1989) A note on limit theorems for perturbed empirical processes. Stoch. Processes Applic., 33, 163-173.
    • (1989) Stoch. Processes Applic. , vol.33 , pp. 163-173
    • Yukish, J.E.1


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