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A NOTE ON THE HOMOGENETIC ESTIMATE FOR THE VARIANCE OF THE KAPLAN–MEIER ESTIMATE
Abstract:ABSTRACT

The Greenwood estimate (GE) is commonly employed for estimating the variance of the Kaplan–Meier estimate (KME) even though it underestimates the variance. To reduce the bias of the GE, Zhao (1996) proposed an alternative, called the homogenetic estimate (HE). In this note, we point out that the HE actually esimates the variance of the reduced sample estimate (RE) and can seriously overestimate that of the KME. We also derive the explict relationship between the HE and the GE and discuss the use of the HE.
Keywords:Greenwood estimate  Homogenetic estimate  Reduced sample estimate
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