Nonparametric Estimation for the Three-Stage Irreversible Illness-Death Model
Authors: Datta, Somnath1; Satten, Glen A.2; Datta, Susmita3
Source: Biometrics, Volume 56, Number 3, September 2000 , pp. 841-847(7)
Publisher: Blackwell Publishing
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Abstract:
Summary. In this paper, we present new nonparametric estimators of the stage-occupation probabilities in the three-stage irreversible illness-death model. These estimators use a fractional risk set and a reweighting approach and are valid under stage-dependent censoring. Using a simulated data set, we compare the behavior of our estimators with previously proposed estimators. We also apply our estimators to data on time to Pneumocystis pneumonia and death obtained from an AIDS cohort study.Keywords: Acquired immunodeficiency syndrome; Competing risks; Dependent censoring; Fractional risk set; Human immunodeficiency virus; Multistage models; Nonparametric estimation; Pneumocystis pneumonia; Product-limit estimator; Survival analysis
Document Type: Research article
DOI: 10.1111/j.0006-341X.2000.00841.x
Affiliations: 1: Department of Statistics, University of Georgia, Athens, Georgia 30602, U.S.A. 2: Division of HIV/AIDS Prevention: Surveillance and Epidemiology, National Center for HIV, STD, and TB Prevention, Centers for Disease Control and Prevention, Atlanta, Georgia 30333, U.S.A. 3: Department of Mathematics and Statistics, Georgia State University, Atlanta, Georgia 30303, U.S.A.
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