Höffding's Kernels and Periodic Covariance Representations

Sergey G. Bobkov; Devraj Duggal

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arXiv · 2403.19719

Höffding's Kernels and Periodic Covariance Representations

Sergey G. Bobkov·Devraj Duggal

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Abstract

We start with a brief survey on Höffding's kernels, its properties, related spectral decompositions, and discuss marginal distributions of Höffding measures. In the second part of this note, one-dimensional covariance representations are considered over compactly supported probability distributions in the class of periodic smooth functions. Höffding's kernels are used in the construction of mixing measures whose marginals are multiples of given probability distributions, leading to optimal kernels in periodic covariance representations.

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Sergey G. Bobkov, Devraj Duggal. 2024-03-27. Höffding's Kernels and Periodic Covariance Representations. https://arxiv.org/abs/2403.19719

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