The shortest confidence interval for the weighted sum of two Binomial proportions
Stanis{\l}aw Jaworski, Wojciech Zieli\'nski
TL;DR
This paper develops the shortest confidence interval for the weighted sum of two Binomial proportions, improving interval estimation by incorporating non-homogeneity of samples.
Contribution
It introduces a novel shortest confidence interval for non-homogeneous Binomial samples, advancing beyond classical methods.
Findings
Shortest confidence interval constructed for non-homogeneous samples
Improved accuracy over classical confidence intervals
Utilizes information about sample non-homogeneity
Abstract
Interval estimation of the probability of success in a Binomial model is considered. Zieli\'nski (2018) showed that the confidence interval which uses information about non-homogeneity of the sample is better than the classical one. In the following paper the shortest confidence interval for non-homogenous sample is constructed.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Advanced Statistical Methods and Models · Statistical Methods and Inference