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Resampling modifications for the Bagai test
Journal of the Korean Data & Information Science Society 2018;29:485-99
Published online March 31, 2018
© 2018 Korean Data and Information Science Society.

Young Min Kim1 · Hyung-Tae Ha2

1Department of Statistics, Kyungpook National University
2Department of Applied Statistics, Gachon University
Correspondence to: Associate professor, Department of Applied Statistics, Gachon University, Sungnam-ci, Kyunggi-do 461-701. Korea. E-mail:
Received February 17, 2018; Revised March 9, 2018; Accepted March 14, 2018.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, we develop resampling modifications for the Bagai statistics to test two competing risks model, and make their numerical comparisons in terms of coverage probabilities and statistical powers.We found that the bias-corrected bootstrap method consistently improves on the Jackknife, Efron's percentile bootstrap, and bootstrap-t methods in both cases of the coverage probability and statistical power. It is interesting that this results are different from the intuitive expectations in view of the convergence rates of the resampling methods. The practical importance is also discussed for the distribution free Bagai statistic to test stochastic ordering.
Keywords : Bagai statistic, numerical comparison, resampling methods.