Open AccessInterval Estimation Under The Uniform Distribution U(a,b)
Author(s) -
Qiqing Yu
Publication year - 2022
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2022.21.10
Subject(s) - statistic , interval estimation , mathematics , statistics , interval (graph theory) , confidence interval , estimation , scan statistic , distribution (mathematics) , combinatorics , mathematical analysis , management , economics
In this short note, we consider 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 confidence interval with the shortest length.
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