Qiqing Yu, "Interval Estimation Under The Uniform Distribution U(a,b)," WSEAS Transactions on Mathematics, vol. 21, pp. 68-70, 2022, DOI:10.37394/23206.2022.21.10
Qiqing Yu. Interval Estimation Under The Uniform Distribution U(a,b).
WSEAS Transactions on Mathematics. 2022;21:68-70. 10.37394/23206.2022.21.10
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Interval Estimation Under The Uniform Distribution U(a,b)
Author:
Abstract: 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.
Keywords:
Maximum likelihood estimator, Confidence Intervals, Pivotal Statistic, Wald-type Statistic
Pages: 68-70 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 21, 2022, Art. #10 DOI: 10.37394/23206.2022.21.10
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