Authors | Abolghasem Bozorgnia |
---|---|
Journal | Communications in Statistics - Theory and Methods |
Page number | 3008-3017 |
Serial number | 51 |
Volume number | 9 |
IF | 0.311 |
Paper Type | Full Paper |
Published At | 2022 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
Journal Index | JCR،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
tags: Borel–Cantelli lemma; separable Banach space; random element; asymptotically; pairwise negatively dependent; weakly asymptotically pairwise negatively dependent