Stefan Nygaard Hansen

On the assumption of independent right censoring

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Various assumptions on a right-censoring mechanism to ensure consistency of the Kaplan–Meier and Aalen–Johansen estimators in a competing risks setting are studied. Specifically, eight different assumptions are seen to fall in two categories: a weaker identifiability assumption, which is the weakest possible assumption in a precise sense, and a stronger representativity assumption which ensures the existence of an independent censoring time. When a given censoring time is considered, similar assumptions can be made on the censoring time. This allows for a characterization of so-called pointwise independence as well as full independence of censoring time and event time and type. Examples illustrate how the various assumptions differ.

Original languageEnglish
JournalScandinavian Journal of Statistics
Volume48
Issue4
Pages (from-to)1234-1255
Number of pages22
ISSN0303-6898
DOIs
Publication statusPublished - Dec 2021

    Research areas

  • censoring, competing risks, consistency, identifiability, product integral, representativity

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