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An Estimator for the Survival Function on the Basis of Observable Censoring Times
Abstract:Abstract

Chiu Chiu, S. N. (1999 Chiu, S. N. 1999. An unbiased estimator for the survival function of censored data. Commun. Statist. - Theory Meth., 28(9): 22492260. Taylor & Francis Online], Web of Science ®] Google Scholar]). An unbiased estimator for the survival function of censored data. Commun. Statist. - Theory Meth. 28(9):2249–2260.] proposed a nonparametric estimator for the survival function which is based on observable censoring times in the general censoring model. His estimator is less efficient than the Product-Limit estimator. Considering an informative censoring model this drawback can partially be overcome. This is shown by a nonparametric, uniformly consistent estimator based on observable censoring times within the simple Koziol–Green model. Some asymptotic properties of the new estimator are investigated and it is compared with the well-known ACL-estimator.
Keywords:Nonparametric survival curve estimator  Informative random censoring  Koziol–Green model  ACL-estimator
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