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19 April 2024
 
  » arxiv » 1701.2424

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A cohort-weighted Kaplan-Meier statistic for addressing random non-homogeneity in survival comparisons
Aaron Heuser ; Minh Huynh ; Joshua C. Chang ;
Date 10 Jan 2017
AbstractThe Kaplan-Meier product-limit estimator is a simple and powerful tool in time to event analysis. However, by design, it is agnostic to the influence of covariates. Hence it is not suited for resolving issues of heterogeneity and differential censoring that may feature in real applications, except through extensions or modifications. A specific example of these issues occurs in longitudinal studies comparing populations where the underlying survival functions are non-stationary. Motivated by this problem, we introduce a weighted product limit estimator for the population survival function under random representation of constituent cohorts. Based on this estimator we provide a test statistic for comparing populations. We derive the asymptotic behavior of the statistic based on an empirical process of product-limit estimators.
Source arXiv, 1701.2424
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