Jackknife empirical likelihood for the Gini index with right censored observations

Xiaojing Xie

doi:10.1117/12.2672288

28 March 2023 Jackknife empirical likelihood for the Gini index with right censored observations

Xiaojing Xie

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 125970V (2023) https://doi.org/10.1117/12.2672288
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

Estimators of the Gini index have been proposed and widely utilized for interval estimation and hypothesis testing in economics. In this paper, Jackknife Empirical Likelihood (JEL) is developed for the Gini index with right censored observations. We prove the limiting distribution of JEL ratio statistics and construct the confidence intervals for the Gini index. Comparative simulation studies with existing methods demonstrate that our methods do better in coverage probability and average length.

Citation Download Citation

Xiaojing Xie "Jackknife empirical likelihood for the Gini index with right censored observations", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 125970V (28 March 2023); https://doi.org/10.1117/12.2672288

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