On the Law of Large Numbers and Convergence Rates for the Random Projections

Vishakha

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arXiv · 2501.16589

On the Law of Large Numbers and Convergence Rates for the Random Projections

Vishakha

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Abstract

The aim of this paper is to establish the Marcinkiewicz-Zygmund (MZ) type law of large numbers for the randomly weighted sums with weights chosen randomly, uniformly over the unit sphere in $\mathbb{R}^n$. We also establish a theorem that describes the rate of convergence in the law of large numbers for these weighted sums.

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Vishakha. 2025-01-28. On the Law of Large Numbers and Convergence Rates for the Random Projections. https://arxiv.org/abs/2501.16589

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