On exact strong laws of large numbers under general dependence conditions
2018 ◽
Vol 38
(1)
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pp. 103-121
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Keyword(s):
We study the almost sure convergence of weighted sums of dependent random variables to a positive and finite constant, in the case when the random variables have either mean zero or no mean at all. These are not typical strong laws and they are called exact strong laws of large numbers. We do not assume any particular type of dependence and furthermore consider sequences which are not necessarily identically distributed. The obtained results may be applied to sequences of negatively associated random variables.
2014 ◽
Vol 109
(1)
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pp. 135-152
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2013 ◽
Vol 2013
(1)
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2008 ◽
Vol 50
(3)
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pp. 351-357
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The strong laws of large numbers for weighted sums of extended negatively dependent random variables
2016 ◽
Vol 46
(20)
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pp. 9881-9891
2006 ◽
Vol 43
(6)
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pp. 1325-1338
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2011 ◽
Vol 2011
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pp. 1-10
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2015 ◽
Vol 148
(1)
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pp. 83-95
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Keyword(s):
2017 ◽
Vol 46
(24)
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pp. 12387-12400
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2008 ◽
Vol 30
(4)
◽
pp. 703-711
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Keyword(s):