TITLE:
Equivalence between the Dependent Right Censorship Model and the Independent Right Censorship Model
AUTHORS:
Qiqing Yu, Kai Yu
KEYWORDS:
Constant-Sum Models, Right-Censoring, Dependent Censoring, Necessary and Sufficient Condition
JOURNAL NAME:
Open Journal of Statistics,
Vol.6 No.2,
April
12,
2016
ABSTRACT: Yu et al. (2012) considered a certain
dependent right censorship model. We show that this model is equivalent to the
independent right censorship model, extending a result with continuity restriction
in Williams and Lagakos (1977). Then the asymptotic normality of the product
limit estimator under the dependent right censorship model follows from the
existing results in the literature under the independent right censorship
model, and thus partially solves an open problem in the literature.