A Mass Redistribution Algorithm for Right Censored and Left Truncated Time to Event Data.

Journal of Statistical Planning and Inference
Xu ZhangJason Fine

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.

Citations

Oct 28, 2011·BMC Medical Research Methodology·Guy N BrockJohn Myers
Feb 15, 2019·Frontiers in Pharmacology·Marie Paule SchneiderIsabella Locatelli
May 11, 2019·Journal of the American Statistical Association·Anna BellachJason P Fine

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