Abstract
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 language | English |
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Journal | Scandinavian Journal of Statistics |
Volume | 48 |
Issue | 4 |
Pages (from-to) | 1234-1255 |
Number of pages | 22 |
ISSN | 0303-6898 |
DOIs | |
Publication status | Published - Dec 2021 |
Keywords
- censoring
- competing risks
- consistency
- identifiability
- product integral
- representativity