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seminars:stat:210902 [2021/08/26 18:05] – created qyuseminars:stat:210902 [2021/09/02 17:08] (current) qyu
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 +<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
 +
 +<WRAP 70% center>
 +^  **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  |
 +</WRAP>
 +\\ 
 +
 +<WRAP center box 80%>
 +<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.
 +</WRAP>
 +
 +
 +
 +