On the Law of Large Numbers and Convergence Rates for the Discrete Fourier Transform of Random Fields

Vishakha

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arXiv · 2401.00640

On the Law of Large Numbers and Convergence Rates for the Discrete Fourier Transform of Random Fields

Vishakha

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Abstract

We study the Marcinkiewicz-Zygmund strong law of large numbers for the cubic partial sums of the discrete Fourier transform of random fields. We establish Marcinkiewicz-Zygmund types rate of convergence for the discrete Fourier transform of random fields under weaker conditions than identical distribution.

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Vishakha. 2024-01-01. On the Law of Large Numbers and Convergence Rates for the Discrete Fourier Transform of Random Fields. https://arxiv.org/abs/2401.00640

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