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

Fuente: arXiv
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Auteur principal: Vishakha
Format: Preprint
Publié: 2024
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author Vishakha
author_facet Vishakha
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_00640
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Law of Large Numbers and Convergence Rates for the Discrete Fourier Transform of Random Fields
Vishakha
Probability
60F05, 60F15, 60F25
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.
title On the Law of Large Numbers and Convergence Rates for the Discrete Fourier Transform of Random Fields
topic Probability
60F05, 60F15, 60F25
url https://arxiv.org/abs/2401.00640