巴纳奇值 U$ 统计量的偏差和矩不等式

arXiv - MATH - Statistics Theory Pub Date : 2024-05-03 DOI:arxiv-2405.01902

Davide GiraudoIRMA, UNISTRA UFR MI

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引用次数: 0

摘要

我们展示了独立数据在可分离巴拿赫空间取值的 U 统计量的偏差不等式，该不等式满足一些平稳性假设，然后我们提供了 U 统计量大数定律中的比率、H{\"o}lderian 函数中心极限定理和不完整 $U$ 统计量的矩量不等式的应用。

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Deviation and moment inequalities for Banach-valued $U$-statistics

We show a deviation inequality for U-statistics of independent data taking values in a separable Banach space which satisfies some smoothness assumptions. We then provide applications to rates in the law of large numbers for U-statistics, a H{\"o}lderian functional central limit theorem and a moment inequality for incomplete $U$-statistics.

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arXiv - MATH - Statistics Theory

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