Bootstrapping Order Statistics with Variable Rank: Accepted - December 2022

Mohamed Ebrahim Sobh; Haroon M. Barakat

Forthcoming

Bootstrapping Order Statistics with Variable Rank

Accepted - December 2022

Authors

Mohamed Ebrahim Sobh Mansoura University https://orcid.org/0000-0002-4285-3955
Haroon M. Barakat Zagazig University https://orcid.org/0000-0002-6212-432X

Keywords:

Bootstrap technique, central order statistics, intermediate order statistics, weak consistency, strong consistency

Abstract

This work investigates the strong consistency of bootstrapping central and intermediate order statistics for an appropriate choice of re-sample size for known and unknown normalizing constants. We show that when the normalizing constants are estimated from the data, the bootstrap distribution for central and intermediate order statistics may be weakly or strongly consistent. A simulation study is conducted to show numerically how to choose the bootstrap sample size to give the best approximation of the bootstrapping distribution for the central and intermediate quantiles.

Downloads

FP_REVSTAT2022_dec4

Published

2022-12-13

How to Cite

Sobh, M. E., & Barakat , H. M. (2022). Bootstrapping Order Statistics with Variable Rank: Accepted - December 2022. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/543