A proportional hazards regression model for the subdistribution with right‐censored and left‐truncated competing risks data
- 9 May 2011
- journal article
- research article
- Published by Wiley in Statistics in Medicine
- Vol. 30 (16), 1933-1951
- https://doi.org/10.1002/sim.4264
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.Keywords
This publication has 18 references indexed in Scilit:
- A mass redistribution algorithm for right-censored and left-truncated time to event dataJournal of Statistical Planning and Inference, 2009
- Predicting cumulative incidence probability by direct binomial regressionBiometrika, 2008
- Misspecified regression model for the subdistribution hazard of a competing riskStatistics in Medicine, 2006
- An Additive–Multiplicative Cox–Aalen Regression ModelScandinavian Journal of Statistics, 2001
- Semiparametric Regression for the Mean and Rate Functions of Recurrent EventsJournal of the Royal Statistical Society Series B: Statistical Methodology, 2000
- A Proportional Hazards Model for the Subdistribution of a Competing RiskJournal of the American Statistical Association, 1999
- A Proportional Hazards Model for the Subdistribution of a Competing RiskJournal of the American Statistical Association, 1999
- Estimating a Distribution Function with Truncated and Censored DataThe Annals of Statistics, 1991
- Cox's Regression Model for Counting Processes: A Large Sample StudyThe Annals of Statistics, 1982