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Nonparametric estimation of quantile versions of the Bonferroni curve

Volume 51 / 2024

Agnieszka Siedlaczek Applicationes Mathematicae 51 (2024), 131-146 MSC: Primary 62G05 DOI: 10.4064/am2504-6-2024 Published online: 25 July 2024

Abstract

We consider the quantile versions of the Bonferroni curve and of the Bonferroni index. Distribution-free estimators of these quantile versions are proposed. Asymptotic properties of the estimators are proved. In simulations we compare the accuracy of the estimators. To illustrate the estimators under study, we perform real data analysis concerning the remission times of bladder cancer patients.

Authors

  • Agnieszka SiedlaczekFaculty of Mathematics, Physics and Computer Science
    University of Opole
    45-040 Opole, Poland
    e-mail

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