The random partition masking model for interval-censored and masked competing risks data

References

• Guess , F. M. , Usher , J. S. and Hodgson , T. J. 1991 . Estimating system and component reliabilities under partial information on cause of failure . J. Statist. Plan. Inference , 29 : 75 – 85 .
   Web of Science ®Google Scholar
• Mukhopadhyay , C. 2006 . Maximum likelihood analysis of masked series system lifetime data . J. Statist. Plan. Inference , 136 : 803 – 838 .
   Web of Science ®Google Scholar
• Peterson , A. V. Jr. 1977 . Expressing the Kaplan–Meier estimator as a function of empirical subsurvival functions . J. Amer. Statist. Assoc. , 72 : 854 – 858 .
   Web of Science ®Google Scholar
• Miyakawa , M. 1984 . Analysis of incomplete data in competing risk model . IEEE Trans. Reliab. , 33 : 293 – 296 .
   Web of Science ®Google Scholar
• Reiser , B. , Guttman , I. , Lin , D. K.J. , Usher , J. S. and Guess , F. M. 1995 . Bayesian inference for masked system life time data . Appl. Statist. , 44 : 79 – 90 .
   Web of Science ®Google Scholar
• Lin , D. K.J. , Usher , J. S. and Guess , F. M. 1996 . Bayes estimation of component-reliability from masked system-life data . IEEE Trans. Reliab. , R-45 : 233 – 237 .
   Web of Science ®Google Scholar
• Mukhopadhyay , C. and Basu , A. P. 1997 . Bayesian analysis of incomplete time and cause of failure data . J. Statist. Plan. Inference , 59 : 79 – 100 .
   Web of Science ®Google Scholar
• Mukhopadhyay , C. and Basu , S. 2007 . Bayesian analysis of masked series system lifetime data . Commun. Statist. Theory Methods , 36 : 329 – 348 .
   Web of Science ®Google Scholar
• Sen , A. , Basu , S. and Benerjee , M. 2001 . “ Analysis of masked failure time data under competing risks ” . In Handbook of Statistics , Edited by: Balakrishnan , N. and Rao , C. R. Vol. 20 , 523 – 540 . Amsterdam : Elsevier Science .
   Google Scholar
• Flehinger , B. J. , Reiser , B. and Yashchin , E. 2001 . “ Statistical analysis for masked data ” . In Handbook of Statistics , Edited by: Balakrishnan , N. and Rao , C. R. Vol. 20 , 499 – 522 . Amsterdam : Elsevier Science .
   Google Scholar
• Basu , S. , Basu , A. P. and Mukhopadhyay , C. 1999 . Bayesian analysis for masked system failure data using non-identical Weibull models . J. Statist. Plan. Inference , 78 : 255 – 275 .
   Web of Science ®Google Scholar
• Dewanji , A. and Sengupta , D. 2003 . Estimation of competing risks with general missing pattern in failure types . Biometrics , 59 : 1063 – 1070 .
   PubMed Web of Science ®Google Scholar
• Craiu , R. V. and Reiser , B. 2006 . Inference for the dependent competing risks model with masked causes of failure . Lifetime Data Anal. , 12 : 21 – 33 .
   PubMed Web of Science ®Google Scholar
• Dinse , G. E. 1982 . Nonparametric estimation for partially complete time and type of failure data . Biometrics , 38 : 417 – 431 .
   PubMed Web of Science ®Google Scholar
• Dinse , G. E. 1986 . Nonparametric prevalence and mortality estimators for animal experiments with incomplete cause-of-death data . J. Amer. Statist. Assoc. , 81 : 328 – 336 .
   Web of Science ®Google Scholar
• Flehinger , B. J. , Reiser , B. and Yashchin , E. 1998 . Survival with competing risks and masked causes of failures . Biometrika , 85 : 151 – 164 .
   Web of Science ®Google Scholar
• Craiu , R. V. and Duchesne , T. 2004 . Inference based on the EM algorithm for the competing risks model with masked causes of failure . Biometrika , 91 : 543 – 558 .
   Web of Science ®Google Scholar
• Groeneboom , P. , Maathuis , M. H. and Wellner , J. A. 2008b . Current status data with competing risks: Consistency and rates of convergence of the MLE . Ann. Statist. , 36 : 1031 – 1063 .
   Web of Science ®Google Scholar
• Hudgens , M. G. , Satten , G. A. and Longini , I. M. Jr. 2001 . Nonparametric maximum likelihood estimation for competing risks survival data subject to interval censoring and truncation . Biometrics , 57 : 74 – 80 .
   PubMed Web of Science ®Google Scholar
• Basu , S. , Sen , A. and Banerjee , M. 2003 . Bayesian analysis of competing risks with partially masked cause of failure . Appl. Statist. , 52 : 77 – 93 .
   Web of Science ®Google Scholar
• Maathuis , M. H. and Wellner , J. A. 2008 . Inconsistency of the MLE for the joint distribution of interval censored survival times and continuous marks . Scand. J. Statist. , 35 : 83 – 103 .
   PubMed Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Groeneboom , P. , Jongbloed , G. and Wellner , J. A. 2008 . The support reduction algorithm for computing nonparametric function estimates in mixture models . Scand. J. Statist. , 35 : 385 – 399 .
   PubMed Web of Science ®Google Scholar
• Flehinger , B. J. , Reiser , B. and Yashchin , E. 1996 . Inference about defects in the presence of masking . Technometrics , 38 : 247 – 255 .
   Web of Science ®Google Scholar
• Kiefer , J. and Wolfowitz , J. 1956 . Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters . Ann. Statist. , 27 : 887 – 906 .
   Web of Science ®Google Scholar
• Wong , G. Y.C. and Yu , Q. 1999 . Generalized MLE of a joint distribution function with multivariate interval-censored data . J. Multivar. Anal. , 69 : 155 – 166 .
   Web of Science ®Google Scholar
• Turnbull , B. W. 1976 . The empirical distribution function with arbitrary grouped, censored and truncated data . J. Roy. Statist. Soc. Ser. , B 38 : 290 – 295 .
   Google Scholar
• Schick , A. and Yu , Q. 2000 . Consistency of the GMLE with mixed case interval-censored data . Scand. J. Statist. , 27 : 45 – 55 .
   Web of Science ®Google Scholar
• Yu , Q. , Schick , A. , Li , L. and Wong , G. Y.C. 1998 . Asymptotical properties of the GMLE in the case 1 interval censorship model with discrete inspection times . Canad. J. Statist. , 26 : 619 – 627 .
   Web of Science ®Google Scholar
• Yu , Q. , Schick , A. , Li , L. and Wong , G. Y.C. 1998 . Asymptotical properties of the GMLE in the case 2 interval-censored data . Statist. Probab. Lett. , 37 : 223 – 228 .
   Web of Science ®Google Scholar
• Groeneboom , P. and Wellner , J. A. 1992 . Information Bounds and Nonparametric Maximum Likelihood Estimation , Basel : Birkhäuser .
   Google Scholar
• Groeneboom , P. 1996 . “ Lecture on inverse problems ” . In Lecture on Probability and Statistics , Edited by: Bernard , P. 157 Berlin : Springer .
   Google Scholar