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Research articles

ScienceAsia 35 (2009): 290-294 |doi: 10.2306/scienceasia1513-1874.2009.35.290


On the strong law of large numbers for pairwise negative quadrant dependent identically distributed random variables with infinite means


Nattakarn Chaideea,b,*, Kritsana Neammaneea

 
ABSTRACT:     Kruglov has recently given a strong law of large numbers for identically distributed random variables with infinite means. He improved the work of Feller by assuming only pairwise independence of random variables. In this note we relax the condition from pairwise independence to pairwise negative quadrant dependence.

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a Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
b Centre of Excellence in Mathematics, Commission on Higher Education, 328 Sri Ayutthaya Road, Bangkok 10400, Thailand

* Corresponding author, E-mail: nattakarn.c@chula.ac.th

Received 6 Feb 2009, Accepted 28 Jul 2009