Far East Journal of Theoretical Statistics
Volume 21, Issue 2, Pages 267 - 280
(March 2007)
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EQUIVALENCE OF NONPARAMETRIC ESTIMATORS AS WELL AS OF
NONINFORMATIVE CENSORING CONDITIONS
Jiantian Wang (U. S. A.) and Yingfu Li (U. S. A.)
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Abstract: For estimating survival function based on censored
observations, several nonparametric estimators as well as some noninformative
censoring conditions have been proposed in the literature. In this paper, we
unify those results by proving the equivalence of those estimators and the
equivalence of those conditions without posing any assumption on censoring
mechanism. Furthermore, we reveal a new realistically motivated noninformative
censoring condition which provides insights for noninformative censoring
mechanism. |
Keywords and phrases: equivalence, noninformative censoring, nonparametric
estimators. |
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