On the assumption of independent right censoring

Fuente: arXiv
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Autores principales: Overgaard, Morten, Hansen, Stefan Nygaard
Formato: Preprint
Publicado: 2019
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author Overgaard, Morten
Hansen, Stefan Nygaard
author_facet Overgaard, Morten
Hansen, Stefan Nygaard
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1905_02508
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle On the assumption of independent right censoring
Overgaard, Morten
Hansen, Stefan Nygaard
Statistics Theory
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.
title On the assumption of independent right censoring
topic Statistics Theory
url https://arxiv.org/abs/1905.02508