Strong laws of large numbers for WAPND Banach-valued random elements

Mehdi Jafari, Hamid Reza Nili Sani and Abolghasem Bozorgnia

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 9, 3008-3017

Abstract: In this article, we first prove Borel–Cantelli lemma and some strong laws of large numbers for APND random variables. Then, we introduce a new class of dependent random elements, called briefly WAPND, taking values in a separable Banach space. For this new class, we extend some strong laws of large numbers.

Date: 2022
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DOI: 10.1080/03610926.2020.1786703

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