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

2024/01/01 by vishakha vishakha, Vishakha
Decision Sciences · #60F05 #60F15 #60F25 #FOS: Mathematics #Probability (math.PR) #Probability and Risk Models

paper · pdf · doi:10.48550/arxiv.2401.00640

openalex publication_date 2024/01/01 · openalex created_date 2024/01/03 · openalex updated_date 2026/07/28

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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