<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We propose an estimator for the Gini coefficient, based on a ratio of means. We show how bootstrap and empirical likelihood can be combined to construct confidence intervals. Our simulation study shows the estimator proposed is usually less biased than customary estimators. The observed coverages of the empirical likelihood confidence interval proposed are also closer to the nominal value.</p>
</abstract>

We propose an estimator for the Gini coefficient, based on a ratio of means. We show how bootstrap and empirical likelihood can be combined to construct confidence intervals. Our simulation study shows the estimator proposed is usually less biased than customary estimators. The observed coverages of the empirical likelihood confidence interval proposed are also closer to the nominal value.

Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling

Journal of Official Statistics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling"}

We propose an estimator for the Gini coefficient, based on a ratio of means. We show how bootstrap and empirical likelihood can be combined to construct...

Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling

Published Online: Jun 15, 2020

Page range: 237 - 249

Received: Oct 01, 2018

Accepted: Dec 01, 2019

DOI: https://doi.org/10.2478/jos-2020-0013

Keywords
Bootstrap, empirical likelihood, inclusion probability, survey weight, sampling design

© 2020 Yves G. Berger et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling

Published Online: Jun 15, 2020

Page range: 237 - 249

Received: Oct 01, 2018

Accepted: Dec 01, 2019

DOI: https://doi.org/10.2478/jos-2020-0013

KeywordsBootstrap, empirical likelihood, inclusion probability, survey weight, sampling design

© 2020 Yves G. Berger et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Bootstrap, empirical likelihood, inclusion probability, survey weight, sampling design