Proportional subdistribution hazards regression for left-truncated competing risks data

References

• Andersen , P. K. and Gill , R. D. 1982 . Cox's Regression Model for Counting Processes: A Large Sample Study . Annals of Statistics , 10 : 1100 – 1120 .
   Web of Science ®Google Scholar
• Andersen , P. K. , Borgan , Ø. , Gill , R. D. and Keiding , N. 1993 . Statistical Methods Based on Counting Processes , New York : Springer .
   Google Scholar
• Babu , G. J. , Rao , C. R. and Rao , M. B. 1992 . Nonparametric Estimation of Specific Occurrence/Exposure Rate in Risk and Survival Analysis . Journal of the American Statistical Association , 87 : 84 – 89 .
   Web of Science ®Google Scholar
• Benichou , J. and Gail , M. H. 1990 . Estimates of Absolute Cause Specific Risk in Cohort Studies . Biometrics , 46 : 813 – 826 .
   PubMed Web of Science ®Google Scholar
• Cox , D. R. 1959 . The Analysis of Exponentially Distributed Lifetimes with Two Types of Failure . Journal of Royal Statistical Society Series B , 21 : 411 – 421 .
   Google Scholar
• Fine , J. P. 2001 . Regression Modelling of Competing Crude Failure Probabilities . Biostatistics , 2 : 85 – 97 .
   PubMedGoogle Scholar
• Fine , J. P. and Gray , R. 1999 . A Proportional Hazards Model for the Subdistribution of a Competing Risk . Journal of the American Statistical Association , 94 : 496 – 509 .
   Web of Science ®Google Scholar
• Geskus , R. B. 2011 . Cause-Specific Cumulative Incidence Estimation and the Fine and Gray Model under Both Left Truncation and Right Censoring . Biometrics , 67 : 39 – 49 .
   PubMed Web of Science ®Google Scholar
• Gilbert , J. P. , Saracci , P. M. , Meier , P. , Zelen , M. , Armitage , P. , Schneider , T. H. , Holford , T. and Ricketts , H. 1975 . Report of the Committee for the Assessment of Biometric Aspects of Controlled Trials of Hypoglycemic Agents . Journal of the American Statistical Association , 231 : 583 – 608 .
   Web of Science ®Google Scholar
• Gilbert , P. B. , Lele , S. R. and Vardi , Y. 1999 . Maximum Likelihood Estimation in Semiparametric Selection Bias Models with Application to AIDS Vaccine Trials . Biometrika , 86 : 27 – 43 .
   Web of Science ®Google Scholar
• Gross , S. T. and Lai , T. L. 1996 . Bootstrap Methods for Truncated Data and Censored Data . Statistica Sinica , 6 : 509 – 530 .
   Web of Science ®Google Scholar
• Huang , Y. and Wang , M.-C. 1995 . Estimating the Occurrence of Rate for Prevalent Survival Data in Competing Risks Models . Journal of the American Statistical Association , 90 : 1406 – 1415 .
   Web of Science ®Google Scholar
• Kaplan , E. L. and Meier , P. 1958 . Nonparametric Estimation from Incomplete Observations . Journal of the American Statistical Association , 53 : 457 – 481 .
   Web of Science ®Google Scholar
• Lai , T. Z. and Ying , Z. 1991 . Estimating a Distribution Function with Truncated and Censored Data . Annals of Statistics , 19 : 417 – 442 .
   Web of Science ®Google Scholar
• Lin , D. Y. , Wei , L. J. , Yang , I. and Ying , Z. 2000 . Semiparametric Regression for the Mean and Rate Functions of Recurrent Events . Journal of the Royal Statistical Society, Series B , 62 : 711 – 730 .
   Google Scholar
• Shen , P.-S. 2003 . The Product-Limit Estimate as an Inverse-Probability-Weighted Average . Communication in Statistics: Theory and Methods , 32 : 1119 – 1133 .
   Web of Science ®Google Scholar
• Shen , P.-S. 2005 . Estimation of the Truncation Probability with Left-Truncated and Right-Censored Data . Nonparametric Statistics , 17 : 957 – 969 .
   Web of Science ®Google Scholar
• Tsai , W.-Y. , Jewell , N. P. and Wang , M.-C. 1987 . A Note on the Product-Limit Estimate Under Right Censoring and Left Truncation . Biometrika , 74 : 883 – 886 .
   Web of Science ®Google Scholar
• Tsiatis , A. A Nonidentifiability Aspect of the Problem of Competing Risks . Proceedings of National Academy of Sciences USA , Vol. 72 , pp. 20 – 22 .
   Google Scholar
• Wang , M.-C. 1989 . A Semiparametric Model for Randomly Truncated Data . Journal of the American Statistical Association , 84 : 742 – 748 .
   Web of Science ®Google Scholar
• Wang , M.-C. 1991 . Nonparametric Estimation from Cross-sectional Survival Data . Journal of the American Statistical Association , 86 : 130 – 143 .
   Web of Science ®Google Scholar
• Woodroofe , M. 1985 . Estimating a Distribution Function with Truncated Data . Annals of Statistics , 13 : 163 – 167 .
   Web of Science ®Google Scholar
• Zhang , X. , Zhang , M.-J. and Fine , J. P. 2009 . A Mass Redistribution Algorithm for Right-Censored and Left-Truncated Time to Event Data . Journal of Statistical Planning and Inference , 139 : 3329 – 3339 .
   PubMed Web of Science ®Google Scholar