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--- seminars:stat:200910 [2020/09/03 18:35] – created qyu
+++ seminars:stat:200910 [2020/09/06 19:01] (current) – qyu
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+<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
+<WRAP 70% center>
+^  **DATE:**|Thursday, Sept. 10, 2020 |
+^  **TIME:**|1:15pm -- 2:15pm |
+^  **LOCATION:**|Zoom meeting |
+^  **SPEAKER:**|Qiqing Yu, Binghamton University |
+^  **TITLE:**|The MLE of The Uniform Distribution
+With Right-censored Data  |
+</WRAP>
+\\
+<WRAP center box 80%>
+<WRAP centeralign>**Abstract**</WRAP>
+Given a right-censored (RC) data set, it is desirable to make parametric inferences.
+One class of the distribution families is the uniform distribution $U(a,b)$ ($0\le a< b< \infty$).
+We derive the MLE with RC data under this parametric assumption.
+Under the survival context, it is rare that one can find the explicit solution to the MLE
+under the parametric set-up. One exception is the exponential distribution.
+It turns out that the MLE of $a$ has a closed form solution if $a$ is a parameter
+and the MLE of $b$ has a closed form solution in some sense
+if $b$ is a parameter.  It is shown that the MLE is consistent under the
+necessary and sufficient identifiability condition.
+</WRAP>