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

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^  **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  |
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<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.
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