Problem of the Week
Hilton Memorial Lecture
Department of Mathematical Sciences
|DATE:||Thursday, Feb. 3, 2022|
|TIME:||1:15pm – 2:15pm|
|SPEAKER:||Qiqing YU, Binghamton University|
|TITLE:||Interval Estimation For The Parameters Under The Uniform Distribution U(a,b)|
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.