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--- seminars:stat:210225 [2021/02/18 18:50] – qyu
+++ seminars:stat:210225 [2021/02/18 18:53] (current) – qyu
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+<WRAP centeralign>##Statistics Seminar##\\ Department of Mathematical Sciences</WRAP>
+<WRAP 70% center>
+^  **DATE:**|Thursday, Feb. 25, 2021 |
+^  **TIME:**|1:15pm -- 2:15pm |
+^  **LOCATION:**|Zoom meeting |
+^  **SPEAKER:**|Zifan Huang, Binghamton University |
+^  **TITLE:**|The Maximum Likelihood Estimator Under The Exponential Distribution With RC Linear Regression Data  |
+</WRAP>
+\\
+<WRAP center box 80%>
+<WRAP centeralign>**Abstract**</WRAP>
+The maximum likelihood estimator (MLE) under the parametric set-up with the
+right-censored (RC) data rarely has a closed form solution. The
+exponential distribution is an exception. Moreover, the parametric MLE’s
+with RC regression data are currently computed by iterative algorithms.
+The author shows that the MLE of the exponential distribution under the
+linear regression model with RC data has a closed form solution and prove
+its consistency. The author also proposes a diagnostic plot method and a
+test of H0: Y = bX +W and X and  W are independent, where W has an
+exponential distribution, and apply them to a cancer data set.
+</WRAP>