Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables

In this article, the strong limit theorems for arrays of rowwise negatively orthant-dependent random variables are studied. Some sufficient conditions for strong law of large numbers for an array of rowwise negatively orthant-dependent random variables without assumptions of identical distribution a...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2011; no. 1; pp. 1 - 10
Main Author Shen, Aiting
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 26.10.2011
Springer Nature B.V
BioMed Central Ltd
SpringerOpen
Subjects
Analysis
Applications of Mathematics
array of rowwise negatively orthant-dependent random variables
Arrays
Classification
Inequalities
Law
Mathematics
Mathematics and Statistics
negatively orthant-dependent sequence
Random variables
Stochasticity
strong law of large numbers
Theorems
negatively orthant-dependent sequence
array of rowwise negatively orthant-dependent random variables
strong law of large numbers
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Summary:In this article, the strong limit theorems for arrays of rowwise negatively orthant-dependent random variables are studied. Some sufficient conditions for strong law of large numbers for an array of rowwise negatively orthant-dependent random variables without assumptions of identical distribution and stochastic domination are presented. As an application, the Chung-type strong law of large numbers for arrays of rowwise negatively orthant-dependent random variables is obtained. MR(2000) Subject Classification: 60F15
Bibliography:SourceType-Scholarly Journals-1
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2011-93