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基于e值的r阶向上向下检验过程

邹文豪 杨建萍

山东理工大学学报(自然科学版)2026,Vol.40Issue(3):59-66,71,9.
山东理工大学学报(自然科学版)2026,Vol.40Issue(3):59-66,71,9.

基于e值的r阶向上向下检验过程

Step-up-down testing procedure of order r based on e-values

邹文豪 1杨建萍1

作者信息

  • 1. 浙江理工大学 理学院,浙江 杭州 310018
  • 折叠

摘要

Abstract

To address the difficulty of getting p-values in some irregular models during the traditional p-value multiple testing procedure,a step-up-down hypothesis procedure of order r based on e-values was proposed,on the basis of the e-BH procedure to further enhance the power of the multiple testing proce-dure.Firstly,the performance of this testing procedure was theoretically studied,and it was found that it can control the false discovery rate(FDR)to the specified level for any e-values test statistic,while maintaining unbiasedness.Then,some simulations were conducted to compare the step-up-down proce-dure of order r based on e-values with the e-BH procedure and traditional p-value multiple testing proce-dures,using indices related to FDR and false negatives rate(FNR).The simulation results illustrate that our proposed testing procedure is more powerful.The results show that this new testing procedure based on e-values is a powerful alternative to the traditional p-value testing procedure.

关键词

多重假设检验/假发现率/假阴率/e值/无偏性

Key words

multiple hypothesis testing/false discovery rate/false negatives rate/e-values/unbiasedness property

分类

数理科学

引用本文复制引用

邹文豪,杨建萍..基于e值的r阶向上向下检验过程[J].山东理工大学学报(自然科学版),2026,40(3):59-66,71,9.

基金项目

国家自然科学基金面上项目(12071436) (12071436)

山东理工大学学报(自然科学版)

1672-6197

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