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--- seminars:stat:181129 [2018/11/28 21:02] – created qyu
+++ seminars:stat:181129 [2018/11/28 21:03] (current) – qyu
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+<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
+<WRAP 70% center>
+^  **DATE:**|Thursday, November 29, 2018 |
+^  **TIME:**|1:15pm -- 2:15pm |
+^  **LOCATION:**|WH 100E |
+^  **SPEAKER:**|Qiqing Yu, Binghamton  University |
+^  **TITLE:**|The Proportional Hazards Model with Linearly Time-dependent Covariates and Interval-censored Data  |
+</WRAP>
+\\
+<WRAP center box 80%>
+<WRAP centeralign>**Abstract**</WRAP>
+The semi-parametric  estimation
+under  the proportional hazards (PH) model with a linearly time-dependent
+covariates and with interval-censored data has not been investigated before.
+The partial likelihood approach does not work and one has to use the
+generalized likelihood function (GLF).
+There is a challenge in this problem.
+The GLF must be  in the form of
+the baseline hazard function, rather than the baseline survival function
+as in the PH model with time-independent covariates,
+and a feasible way to specify the hazard function is a piece-wise constant
+function. However,
+several naive ways do not yield a consistent estimator.
+We propose proper modifications of the GLF.
+</WRAP>