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arXiv · 2601.20018

Decoupling and randomization for double-indexed permutation statistics

Mingxuan Zou·Jingfan Xu·Peng Ding·Fang Han
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Abstract

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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BibTeXRIS

Mingxuan Zou, Jingfan Xu, Peng Ding, Fang Han. 2026-01-27. Decoupling and randomization for double-indexed permutation statistics. https://arxiv.org/abs/2601.20018

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