On the law of large numbers for discrete Fourier transform

Na Zhang

Statistics & Probability Letters, 2017, vol. 120, issue C, 101-107

Abstract: We shall establish the law of large numbers for the discrete Fourier transform of random variables with finite first moment under condition P(|Xn|>x)≤P(|X1|>x) for all x≥0; for 1x)≤MP(|X1|>x) for all x≥0 and some positive constant M.

Keywords: Law of large numbers; Discrete Fourier transform; Rate of convergence (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2016.09.018

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