The shortest confidence interval for Poisson mean
Wojciech Zieli\'nski
TL;DR
This paper demonstrates the existence of the shortest confidence interval for the Poisson mean and presents a method to obtain it, improving the precision of statistical inference for Poisson-distributed data.
Contribution
It introduces a novel approach to identify and construct the shortest confidence interval for the Poisson mean, which was not previously established.
Findings
Existence of the shortest confidence interval proven.
Method for constructing the shortest interval provided.
Potential for more precise Poisson mean estimation.
Abstract
The existence of the shortest confidence interval for Poisson mean is shown. The method of obtaining such an interval is presented as well.
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Taxonomy
TopicsAdvanced Data Processing Techniques · Advanced Computational Techniques in Science and Engineering · Fault Detection and Control Systems