Mingxuan Zou, Jingfan Xu, Peng Ding, Fang Han
arXiv 27 Jan 2026 · Mathematics — Statistics Theory
arXiv:2601.20018 · PDF · DOI · OpenAlex · Extracted main text
This paper introduces a version of decoupling and randomization to establish concentration inequalities for double-indexed permutation statistics. The results yield, among other applications, a new combinatorial Hanson-Wright inequality and a new combinatorial Bennett inequality. Several illustrative examples from rank-based statistics, graph-based statistics, and causal inference are also provided.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Han, Fang (2024) An introduction to permutation processes (version 0.5) self | 1.000 | 7 | 4 | 100% |
| 2 | Sambale, Holger and Sinulis, Arthur (2022) Concentration inequalities on the multislice and for sampling without replacement | 0.693 | 5 | 1 | 100% |
| 3 | Lei, Lihua and Ding, Peng (2021) Regression Adjustment in Completely Randomized Experiments with a Diverging Number of Covariates self | 0.644 | 4 | 1 | 100% |
| 4 | Chatterjee, Sourav Stein's Method for Concentration Inequalities | 0.644 | 2 | 2 | 100% |
| 5 | Barbour, AD and Chen, Louis HY (2005) The permutation distribution of matrix correlation statistics | 0.585 | 3 | 1 | 100% |
| 6 | Daniels, Henry E (1944) The relation between measures of correlation in the universe of sample permutations | 0.585 | 3 | 1 | 100% |
| 7 | Polaczyk, BartĹ (2023) Concentration bounds for sampling without replacement and Hoeffding statistics | 0.585 | 3 | 1 | 100% |
| 8 | Chatterjee, Sourav (2021) A new coefficient of correlation | 0.511 | 2 | 1 | 100% |
| 9 | de la Pena, Victor H and Giné, Evarist (1999) Decoupling: from Dependence to Independence | 0.511 | 2 | 1 | 100% |
| 10 | Zhao, Lincheng and Bai, Zhidong and Chao, Chern-Ching and Liang, Wen… (1997) Error bound in a central limit theorem of double-indexed permutation statistics | 0.511 | 2 | 1 | 100% |
Showing the top 10 of 27 scored citations.