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

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^  **DATE:**|Thursday, Sept. 2, 2021 |
^  **TIME:**|1:15pm -- 2:15pm |
^  **LOCATION:**|zoom meeting |
^  **SPEAKER:**|Qiqing Yu, Binghamton University |
^  **TITLE:**|The Generalized MLE With Truncated Interval-Censored  Data  |
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<WRAP centeralign>**Abstract**</WRAP>
The generalized maximum likelihood estimator  (GMLE)
 of a survival function $S_o(t)$ based on truncated interval-censored (IC)  data
has been studied since 1990's.
 In this literature
there are several issues that have not been properly  settled in how to compute the GMLE  and in theoretical part:
 innermost intervals based on these data are not correctly formulated and they lead to inconsistent GMLE,
the self-consistent algorithm for the GMLE is wrong,
the truncated interval censorship  models are not realistic,
and the consistency of the GMLE has not been established.  These issues are settled in this paper.
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