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What is Learnable in Valiant's Theory of the Learnable? 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Fourier analysis of serial dependence measures
Ria van Hecke, Stanislav Volgushev, Holger Dette · 2017-03-13 · via math.ST updates on arXiv.org

Classical spectral analysis is based on the discrete Fourier transform of the auto-covariances. In this paper we investigate the asymptotic properties of new frequency domain methods where the auto-covariances in the spectral density are replaced by alternative dependence measures which can be estimated by U-statistics. An interesting example is given by Kendall{'}s $τ$ , for which the limiting variance exhibits a surprising behavior.

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