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--- seminars:stat:140918 [2014/09/04 19:28] – qiao
+++ seminars:stat:140918 [2014/09/18 14:14] (current) – nye
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+<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
+~~META:title =September 18, 2014~~
+<WRAP 70% center>
+|  **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  |
+</WRAP>
+\\
+<WRAP center box 80%>
+<WRAP centeralign>**Abstract**</WRAP>
+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.
+</WRAP>