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stat.ME2026
Rank-Based Tests for Mutual Independence of High-Dimensional Random Vectors via Norm
Ping Zhao, Hongfei Wang, Long Feng
We consider the problem of testing mutual independence among the components of a high-dimensional random vector. Building on the rank-based max-sum framework, we introduce fixed fi…
stat.ME2024
Testing Independence Between High-Dimensional Random Vectors Using Rank-Based Max-Sum Tests
Hongfei Wang, Binghui Liu, Long Feng
In this paper, we address the problem of testing independence between two high-dimensional random vectors. Our approach involves a series of max-sum tests based on three well-known…
stat.ME2022
Asymptotic Independence of the Sum and Maximum of Dependent Random Variables with Applications to High-Dimensional Tests
Long Feng, Tiefeng Jiang, Xiaoyun Li +1
For a set of dependent random variables, without stationary or the strong mixing assumptions, we derive the asymptotic independence between their sums and maxima. Then we apply thi…