THE BAUM-KATZ LAW OF LARGE NUMBERS FOR NEGATIVELY ORTHANT DEPENDENT RANDOM VARIABLES

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Published: Feb 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.1.75
Keywords:
negatively orthant dependence, Baum-Katz law, FukNagev type inequality, complete convergence, uniform integrablity
Mathematics Subject Classification (2020):
Primary 60F05

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Kwang-Hee Han
Department of Computer Science, Howon University

Abstract





In this paper the Baum-Katz law of large numbers for negatively orthant dependent random variables is studied. The complete convergence of negatively orthant dependent random variables under some conditions of uniform integrablity is also obtained.





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Article Details

Issue
Vol. 24 No. 1 (2011)
Section
Articles