seminars:stat:220203 [Department of Mathematics and Statistics, Binghamton University]

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

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^  **DATE:**|Thursday, Feb. 3, 2022 |
^  **TIME:**|1:15pm -- 2:15pm |
^  **LOCATION:**|Zoom meeting |
^  **SPEAKER:**|Qiqing YU, Binghamton University |
^  **TITLE:**|Interval Estimation  For The Parameters Under The Uniform Distribution U(a,b)  |
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<WRAP centeralign>**Abstract**</WRAP>
Revisit 
interval estimation for the parameters under
the uniform distribution
$U(a,b)$.
We study two approaches: (1) based on a Wald-type statistic,
(2) based on a pivotal statistic.
We show that the first approach in its common form is not valid
and we propose a modified version of the first approach.
It turns out it is equivalent to the CI with the shortest length.
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