# The shortest confidence interval for the weighted sum of two Binomial proportions

## 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.

## Key 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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Source: https://tomesphere.com/paper/1903.11555