
<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>

~~META:title =October 1, 2015~~
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^  **DATE:**|Thursday, October 1, 2015 |
^  **TIME:**|1:15pm to 2:15pm |
^  **LOCATION:**|WH 100E |
^  **SPEAKER:**|Qiqing Yu, Binghamton University |
^  **TITLE:**|Asymptotic Normality Of The Product-Limit-Estimator Under Dependent Right Censoring |
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<WRAP centeralign>**Abstract**</WRAP>
Let $T$ be the survival time, $R$  be the censoring time and $S(t)=P(T>t)$.
If $T$ and $R$ are independent ($T\perp R$), several sufficient conditions have been
established for
the product-limit estimator (PLE)
 being asymptotically normally distributed on the whole real line
(see, {\it e.g.}, Stute (1995)).
However, the necessary and sufficient condition for the PLE
to have an asymptotic normality property on the whole real line
remains  a difficult open problem.
In this paper, we settle the problem
under both the standard
RC model which assumes $T\perp R$ and
the dependent RC model.

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