Forthcoming

Bootstrapping Order Statistics with Variable Rank

Accepted - December 2022

Authors

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.

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

Issue

Section

Article