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A proportional hazards regression model for the subdistribution with right‐censored and left‐truncated competing risks data
Author(s) -
Zhang, Xu,
Zhang MeiJie,
Fine Jason
Publication year - 2011
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4264
Subject(s) - covariate , proportional hazards model , censoring (clinical trials) , statistics , weighting , inverse probability weighting , estimator , regression analysis , econometrics , regression , mathematics , computer science , medicine , radiology
Abstract With competing risks failure time data, one often needs to assess the covariate effects on the cumulative incidence probabilities. Fine and Gray proposed a proportional hazards regression model to directly model the subdistribution of a competing risk. They developed the estimating procedure for right‐censored competing risks data, based on the inverse probability of censoring weighting. Right‐censored and left‐truncated competing risks data sometimes occur in biomedical researches. In this paper, we study the proportional hazards regression model for the subdistribution of a competing risk with right‐censored and left‐truncated data. We adopt a new weighting technique to estimate the parameters in this model. We have derived the large sample properties of the proposed estimators. To illustrate the application of the new method, we analyze the failure time data for children with acute leukemia. In this example, the failure times for children who had bone marrow transplants were left truncated. Copyright © 2011 John Wiley & Sons, Ltd.