##Statistics Seminar##\\ Department of Mathematical Sciences
~~META:title =September 18, 2014~~
| **DATE:**|Thursday, September 18, 2014 |
| **TIME:**|1:15pm to 2:15pm |
| **PLACE:**|OW 100E |
| **SPEAKER:**|Qiqing Yu (Binghamton University) |
| **TITLE:**|Models allowing dependent right censoring |
\\
**Abstract**
The independent right censorship (RC) model assumes that
the survival time and censoring time are independent.
Williams and Lagakos (W&L) (1977) propose
a continuous dependent RC model.
They show that it
is equivalent to
a continuous independent RC model.
Yu //et al.//} (2012) study another dependent RC model, say Model 2,
without the continuity restriction, which is essentially
the necessary and sufficient
condition for the product-limit-estimator (PLE)
being consistent
for all time within the largest exact observation under the non-parametric
set-up.
However the asymptotic normality of the PLE under that model is not
addressed due to technical difficulties.
In this paper, we show that
(1) the continuous (but not the discrete)
W&L model is a special case of Model 2;
(2)
Model 2
is equivalent to
an independent RC model, extending W&L's result.
Thus the asymptotic normality of the PLE under Model 2
follows from the existing results in the literature
under the independent RC model.