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Nonparametric Estimation for the Three‐Stage Irreversible Illness–Death Model
Author(s) -
Datta Somnath,
Satten Glen A.,
Datta Susmita
Publication year - 2000
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.2000.00841.x
Subject(s) - estimator , censoring (clinical trials) , nonparametric statistics , statistics , econometrics , estimation , stage (stratigraphy) , mathematics , economics , biology , management , paleontology
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.