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Volumn 92, Issue 439, 1997, Pages 945-959

A hybrid algorithm for computation of the nonparametric maximum likelihood estimator from censored data

Author keywords

Algorithm; Censoring; EM algorithm; Hybrid method; Iterative convex minorant; Missing data; Self consistency

Indexed keywords


EID: 21744452231     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10474049     Document Type: Article
Times cited : (175)

References (33)
  • 5
    • 0000363545 scopus 로고
    • Weak Convergence of a Self-Consistent Estimator of the Survival Function With Doubly Censored Data
    • Chang, M. N.(1990), "Weak Convergence of a Self-Consistent Estimator of the Survival Function With Doubly Censored Data,"The Annals of Statistics, 18, 391-404.
    • (1990) The Annals of Statistics , vol.18 , pp. 391-404
    • Chang, M.N.1
  • 8
    • 0002610193 scopus 로고
    • Non- and Semi-parametric Maximum Likelihood Estimators and the von Mises Method (Part 1),"
    • Gill, R.(1989), Non- and Semi-parametric Maximum Likelihood Estimators and the von Mises Method (Part 1),"Scandinavian Journal of Statistics,16,97-128.
    • (1989) Scandinavian Journal of Statistics , vol.16 , pp. 97-128
    • Gill, R.1
  • 9
    • 0002449664 scopus 로고    scopus 로고
    • Lectures on Inverse Problems (Ecole d'Ete de Probabilites de Saint-Flour XXIV-1994)
    • P. Bernard, New York: Springer-Verlag
    • Groeneboom, P.(1996), "Lectures on Inverse Problems (Ecole d'Ete de Probabilites de Saint-Flour XXIV-1994)," in Lecture Notes in Mathematics, ed. P. Bernard, New York: Springer-Verlag, pp. 67-164.
    • (1996) Lecture Notes in Mathematics , pp. 67-164
    • Groeneboom, P.1
  • 10
    • 0003592479 scopus 로고
    • "Information Bounds and Nonparametric Maximum Likelihood Estimation
    • Basel: Birkhauser Verlag
    • Groeneboom, P., and Wellner, J. A(1992), "Information Bounds and Nonparametric Maximum Likelihood Estimation, in DMV Seminar Band 19, Basel: Birkhauser Verlag.
    • (1992) DMV Seminar Band 19
    • Groeneboom, P.1    Wellner, J.A.2
  • 11
    • 21144483550 scopus 로고
    • Asymptotic Properties of SelfConsistent Estimators Based on Doubly Censored Data
    • Gu, M. G., and Zhang, C.-H.(1993), "Asymptotic Properties of SelfConsistent Estimators Based on Doubly Censored Data,"The Annals of Statistics, 21, 611-624.
    • (1993) The Annals of Statistics , vol.21 , pp. 611-624
    • Gu, M.G.1    Zhang, C.-H.2
  • 15
    • 84936016001 scopus 로고
    • Nonparametric Maximum Likelihood Estimation of a Mixing Distribution
    • Laird, N.(1978), "Nonparametric Maximum Likelihood Estimation of a Mixing Distribution,"Journal of the American Statistical Association,73, 805-815.
    • (1978) Journal of the American Statistical Association , vol.73 , pp. 805-815
    • Laird, N.1
  • 17
    • 0030372808 scopus 로고    scopus 로고
    • Algorithm for Computing SelfConsistent and Maximum Likelihood Estimators With Doubly Censored Data,"
    • Mykland, P. A, and Ren, J.-J. (1996), Algorithm for Computing SelfConsistent and Maximum Likelihood Estimators With Doubly Censored Data,"The Annals of Statistics, 24, 1740-1764.
    • (1996) The Annals of Statistics , vol.24 , pp. 1740-1764
    • Mykland, P.A.1    Ren, J.-J.2
  • 19
    • 0001507219 scopus 로고
    • A Large Sample Study of Generalized Maximum Likelihood Estimators From Incomplete Data via SelfConsistency
    • Corr. 18,470
    • Tsai, W Y., and Crowley, L(1985), "A Large Sample Study of Generalized Maximum Likelihood Estimators From Incomplete Data via SelfConsistency,"The Annals of Statistics, 13, 1317-1334. Corr. 18,470.
    • (1985) The Annals of Statistics , vol.13 , pp. 1317-1334
    • Tsai, W.Y.1    Crowley, L.2
  • 20
    • 84886977685 scopus 로고
    • Nonparametric Estimation of a Survival Ship Function With Doubly Censored Data
    • Turnbull, B. W.(1974), "Nonparametric Estimation of a Survival Ship Function With Doubly Censored Data,"Journal of the American Statistical Association, 69, 169-173.
    • (1974) Journal of the American Statistical Association , vol.69 , pp. 169-173
    • Turnbull, B.W.1
  • 21
    • 0001087235 scopus 로고
    • 'The Empirical Distribution Function With Arbitrarily Grouped, Censored and Truncated Data
    • Turnbull, B. W. (1976), ''The Empirical Distribution Function With Arbitrarily Grouped, Censored and Truncated Data," Journal of the Royal Statistical Society, Ser. B, 38, 290-295.
    • (1976) Journal of the Royal Statistical Society, Ser. B , vol.38 , pp. 290-295
    • Turnbull, B.W.1
  • 22
    • 0018132452 scopus 로고
    • A Likelihood Ratio Statistic for Testing Goodness of Fit With Randomly Censored Data
    • Turnbull, B. W., and Weiss, L.(1978), "A Likelihood Ratio Statistic for Testing Goodness of Fit With Randomly Censored Data,"Biometrics,34, 367-375.
    • (1978) Biometrics , vol.34 , pp. 367-375
    • Turnbull, B.W.1    Weiss, L.2
  • 25
    • 0000661267 scopus 로고
    • Maximum Likelihood Estimation of Ordered Probabilities
    • Van Eeden, C.(1956), "Maximum Likelihood Estimation of Ordered Probabilities," lndagationes Mathematicae, 18, 444-455.
    • (1956) Lndagationes Mathematicae , vol.18 , pp. 444-455
    • Van Eeden, C.1
  • 26
    • 0000462621 scopus 로고
    • Nonparametric Estimation in Renewal Processes
    • Vardi, Y.(1982), "Nonparametric Estimation in Renewal Processes,"The Annals of Statistics, 10,772-785.
    • (1982) The Annals of Statistics , vol.10 , pp. 772-785
    • Vardi, Y.1
  • 27
    • 0000281507 scopus 로고
    • Multiplicative Censoring, Renewal Processes, Deconvolution and Decreasing Density: Nonparametric Estimation
    • Vardi, Y. (1989), "Multiplicative Censoring, Renewal Processes, Deconvolution and Decreasing Density: Nonparametric Estimation,"Biometrika,76,751-761.
    • (1989) Biometrika , vol.76 , pp. 751-761
    • Vardi, Y.1
  • 28
    • 0000418739 scopus 로고
    • Large-Sample Study of Empirical Distributions in a Random-Multiplicative Censoring Model
    • Vardi, Y., and Zhang, C.-H.(1992), "Large-Sample Study of Empirical Distributions in a Random-Multiplicative Censoring Model,"The Annals of Statistics, 20, 1022-1039.
    • (1992) The Annals of Statistics , vol.20 , pp. 1022-1039
    • Vardi, Y.1    Zhang, C.-H.2
  • 29
    • 0041598841 scopus 로고    scopus 로고
    • technical report, University of Washington, Dept. of Statistics
    • Wellner, J. A, and Zhan, Y.(1996), "Bootstrapping Z-Estimators," technical report, University of Washington, Dept. of Statistics.
    • (1996) Bootstrapping Z-Estimators
    • Wellner, J.A.1    Zhan, Y.2
  • 30
    • 0002210265 scopus 로고
    • On the Convergence Properties of the EM Algorithm
    • Wu, J. F.(1983), "On the Convergence Properties of the EM Algorithm,"The Annals of Statistics, 11, 95-103.
    • (1983) The Annals of Statistics , vol.11 , pp. 95-103
    • Wu, J.F.1
  • 31
    • 30244448074 scopus 로고    scopus 로고
    • unpublished Ph.D. dissertation, University of Washington, Dept. of Statistics
    • Zhan, Y.(1996), "Bootstrapping Functional M-Estimators," unpublished Ph.D. dissertation, University of Washington, Dept. of Statistics.
    • (1996) Bootstrapping Functional M-Estimators
    • Zhan, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.