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The complete moment convergence for independent and non identically distributed random fields with different powers for different coordinates

Mi-Hwa Ko

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 14, 4564-4574

Abstract: In this article, we establish the complete moment convergence for independent and non identically distributed random fields such that different indices have different powers in the normalization. The result generalizes the complete convergence for a field of independent random variables, weakly upper bounded by a random variable to the case of complete moment convergence.

Date: 2025
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DOI: 10.1080/03610926.2024.2424456

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