Some laws of large numbers for double arrays of random upper semicontinuous functions

In this paper, we introduce some laws of large numbers for double array of level-wise negatively associated random upper semicontinuous functions under various settings. We also establish some maximal inequalities which form Rosenthal’s type and H¡jek-R†nyi’s type for 2-dimensional structure. Our re...

Full description

Saved in:
Bibliographic Details
Published inTạp chí Khoa học Vol. 50; no. 2A
Main Authors Xuan Giap, DUONG, Van Quang, NGUYEN, Nguyen Tram Ngoc, BUI
Format Journal Article
LanguageEnglish
Published 15.08.2021
Online AccessGet full text

Cover

More Information
Summary:In this paper, we introduce some laws of large numbers for double array of level-wise negatively associated random upper semicontinuous functions under various settings. We also establish some maximal inequalities which form Rosenthal’s type and H¡jek-R†nyi’s type for 2-dimensional structure. Our results are extensions for corresponding ones in the literature.
ISSN:1859-2228
DOI:10.56824/vujs.2021nt39