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Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations
Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations
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Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations
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Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations
Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations

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Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations
Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations
Journal Article

Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations

2025
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Overview
In the framework of sublinear expectations, we prove the Marcinkiewicz-Zygmund type weak law of large numbers for an array of row-wise weakly negatively dependent (WND) random variables. Moreover, we obtain the strong law of large numbers for linear processes generated by WND random variables. Our theorems extend the existed achievements of the law of large numbers under sublinear expectations.
Publisher
American Institute of Mathematical Sciences