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

AuthorsAbolghasem Bozorgnia
JournalCommunications in Statistics - Theory and Methods
Page number3008-3017
Serial number51
Volume number9
IF0.311
Paper TypeFull Paper
Published At2022
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal IndexJCR،Scopus

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

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tags: Borel–Cantelli lemma; separable Banach space; random element; asymptotically; pairwise negatively dependent; weakly asymptotically pairwise negatively dependent