A Mass Redistribution Algorithm for Right Censored and Left Truncated Time to Event Data |
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Authors: | Zhang Xu Zhang Mei-Jie Fine Jason |
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Affiliation: | Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA, matxxz@langate.gsu.edu , . |
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Abstract: | Failure times are often right-censored and left-truncated. In this paper we give a mass redistribution algorithm for right-censored and/or left-truncated failure time data. We show that this algorithm yields the Kaplan-Meier estimator of the survival probability. One application of this algorithm in modeling the subdistribution hazard for competing risks data is studied. We give a product-limit estimator of the cumulative incidence function via modeling the subdistribution hazard. We show by induction that this product-limit estimator is identical to the left-truncated version of Aalen-Johansen (1978) estimator for the cumulative incidence function. |
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Keywords: | Cumulative incidence function Subdistribution hazard Truncation |
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