메뉴 건너뛰기




Volumn 36, Issue 3, 2008, Pages 1031-1063

Current status data with competing risks: Consistency and rates of convergence of the MLE

Author keywords

Competing risks; Consistency; Current status data; Maximum likelihood; Rate of convergence; Survival analysis

Indexed keywords


EID: 51049097462     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053607000000974     Document Type: Article
Times cited : (44)

References (19)
  • 1
    • 51049121455 scopus 로고    scopus 로고
    • GROENEBOOM, P. (1996). Lectures on inverse problems. Lectures on Probability Theory and Statistics. Ecole d' Eté de Probabilités de Saint Flour XXIV - 1994. Lecture Notes in Math. 1648 67-164. Springer, Berlin. MR1600884
    • GROENEBOOM, P. (1996). Lectures on inverse problems. Lectures on Probability Theory and Statistics. Ecole d' Eté de Probabilités de Saint Flour XXIV - 1994. Lecture Notes in Math. 1648 67-164. Springer, Berlin. MR1600884
  • 2
    • 0035528158 scopus 로고    scopus 로고
    • Estimation of a convex function: Characterizations and asymptotic theory
    • MR 1891742
    • GROENEBOOM. P., JONGBLOED, G. and WELLNER, J. A. (2001). Estimation of a convex function: Characterizations and asymptotic theory. Ann. Statist.291653-1698. MR 1891742
    • (2001) Ann. Statist , vol.29 , pp. 1653-1698
    • GROENEBOOM, P.1    JONGBLOED, G.2    WELLNER, J.A.3
  • 3
    • 51049087047 scopus 로고    scopus 로고
    • Current status data with competing risks: Limiting distribution of the MLE
    • GROENEBOOM, P., MAATHUIS, M. H. and WELLNER, J. A. (2008). Current status data with competing risks: Limiting distribution of the MLE. Ann. Statist. 36 1064-1089.
    • (2008) Ann. Statist , vol.36 , pp. 1064-1089
    • GROENEBOOM, P.1    MAATHUIS, M.H.2    WELLNER, J.A.3
  • 4
    • 51049088931 scopus 로고    scopus 로고
    • GROENEBOOM, P. and WELLNER, J. A. (1992). Information Bounds andNonparametric Maximum Likelihood Estimation. Birkhäuser. Basel. MR1180321
    • GROENEBOOM, P. and WELLNER, J. A. (1992). Information Bounds andNonparametric Maximum Likelihood Estimation. Birkhäuser. Basel. MR1180321
  • 5
    • 0035102313 scopus 로고    scopus 로고
    • Nonparametric maximum likelihood estimation for competing risks survival data subject to interval censoring and truncation
    • MR 1821337
    • HUDGENS, M. G., SATTEN, G. A. and LONGINI, JR., I. M. (2001). Nonparametric maximum likelihood estimation for competing risks survival data subject to interval censoring and truncation. Biometrics 57 74-80. MR 1821337
    • (2001) Biometrics , vol.57 , pp. 74-80
    • HUDGENS, M.G.1    SATTEN, G.A.2    LONGINI JR., I.M.3
  • 6
    • 67649666997 scopus 로고    scopus 로고
    • JEWELL, N. P. and VAN DER LAAN, M. J. (2004). Current status data: Review, recent developments and open problems. In Advances in Survival Analysis. Handbook of Statist. 23 625-642. North-Holland. Amsterdam. MR2065792
    • JEWELL, N. P. and VAN DER LAAN, M. J. (2004). Current status data: Review, recent developments and open problems. In Advances in Survival Analysis. Handbook of Statist. 23 625-642. North-Holland. Amsterdam. MR2065792
  • 7
    • 3843055554 scopus 로고    scopus 로고
    • Nonparametric estimation from current status data with competing risks
    • MR 1966559
    • JEWELL, N. P., VAN DER LAAN, M. J. and HENNEMAN, T. (2003). Nonparametric estimation from current status data with competing risks. Biometrika 90 183-197. MR 1966559
    • (2003) Biometrika , vol.90 , pp. 183-197
    • JEWELL, N.P.1    VAN DER LAAN, M.J.2    HENNEMAN, T.3
  • 8
    • 0001315354 scopus 로고
    • Cube root asymptotics
    • MR1041391
    • KIM, J. and POLLARD, D. (1990). Cube root asymptotics. Ann. Statist. 18 191-219. MR1041391
    • (1990) Ann. Statist , vol.18 , pp. 191-219
    • KIM, J.1    POLLARD, D.2
  • 9
    • 20744442983 scopus 로고    scopus 로고
    • Reduction algorithm for the MLE for the distribution function of bivariate interval censored data
    • MR2160818
    • MAATHUIS, M. H. (2005). Reduction algorithm for the MLE for the distribution function of bivariate interval censored data. J. Comput. Graph. Statist. 14 352-362. MR2160818
    • (2005) J. Comput. Graph. Statist , vol.14 , pp. 352-362
    • MAATHUIS, M.H.1
  • 11
    • 38249030045 scopus 로고
    • Consistency of maximum likelihood estimators for certain nonparametric families, in particular: Mixtures
    • MR0944202
    • PFANZAGL, J. (1988). Consistency of maximum likelihood estimators for certain nonparametric families, in particular: Mixtures. J. Statist. Plann. Inference 19 137-158. MR0944202
    • (1988) J. Statist. Plann. Inference , vol.19 , pp. 137-158
    • PFANZAGL, J.1
  • 12
    • 51049113267 scopus 로고    scopus 로고
    • ROGERS, L. C. G. and WILLIAMS, D. (1994). Diffusions, Markov Processes, and Martingales. 1, 2nd ed. Wiley, Chichester. MR1331599
    • ROGERS, L. C. G. and WILLIAMS, D. (1994). Diffusions, Markov Processes, and Martingales. 1, 2nd ed. Wiley, Chichester. MR1331599
  • 13
    • 0034340723 scopus 로고    scopus 로고
    • Consistency of the GMLE with mixed case interval-censored data
    • MR 1774042
    • SCHICK, A. and YU, Q. (2000). Consistency of the GMLE with mixed case interval-censored data. Scand. J. Statist. 27 45-55. MR 1774042
    • (2000) Scand. J. Statist , vol.27 , pp. 45-55
    • SCHICK, A.1    YU, Q.2
  • 14
    • 21144465429 scopus 로고
    • Hellinger-consistency of certain nonparametric maximum like-lihood estimators
    • MR1212164
    • VAN DE GEER, S. A. (1993). Hellinger-consistency of certain nonparametric maximum like-lihood estimators. Ann. Statist. 21 14-44. MR1212164
    • (1993) Ann. Statist , vol.21 , pp. 14-44
    • VAN DE GEER, S.A.1
  • 15
    • 0000073296 scopus 로고    scopus 로고
    • Rates of convergence of the maximum likelihood estimator in mixture models
    • MR 1386341
    • VAN DE GEER, S. A. (1996). Rates of convergence of the maximum likelihood estimator in mixture models. J. Nonparametr. Statist. 6 293-310. MR 1386341
    • (1996) J. Nonparametr. Statist , vol.6 , pp. 293-310
    • VAN DE GEER, S.A.1
  • 16
    • 51049090885 scopus 로고    scopus 로고
    • VAN DE GEER, S. A. (2000). Applications of Empirical Process Theory. Cambridge Univ. Press. MR1739079
    • VAN DE GEER, S. A. (2000). Applications of Empirical Process Theory. Cambridge Univ. Press. MR1739079
  • 18
    • 0040900312 scopus 로고    scopus 로고
    • Preservation theorems for Glivenko-Cantelli and uniform Glivenko-Cantelli classes
    • Birkhäuser, Boston. MR 1857319
    • VAN DER VAART, A. W. and WELLNER, J. A. (2000). Preservation theorems for Glivenko-Cantelli and uniform Glivenko-Cantelli classes. In High Dimensional Probability II 115-133. Birkhäuser, Boston. MR 1857319
    • (2000) High Dimensional Probability II , pp. 115-133
    • VAN DER VAART, A.W.1    WELLNER, J.A.2
  • 19
    • 51049111041 scopus 로고    scopus 로고
    • ZEIDLER, E. (1985). Nonlinear Functional Analysis and its Applications III: Variational Methods and Optimization. Springer, New York. MR0768749
    • ZEIDLER, E. (1985). Nonlinear Functional Analysis and its Applications III: Variational Methods and Optimization. Springer, New York. MR0768749


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.