SOME LIMITING BEHAVIOR FOR ASYMPTOTICALLY NEGATIVE ASSOCIATED RANDOM VARIABLES
2016 ◽
Vol 32
(1)
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pp. 58-66
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Keyword(s):
In this paper, we study the almost sure convergence for sequences of asymptotically negative associated (ANA) random variables. As a result, we extend the classical Khintchine–Kolmogorov convergence theorem, Marcinkiewicz strong law of large numbers, and the three series theorem for sequences of independent random variables to sequences of ANA random variables without necessarily adding any extra conditions.
2013 ◽
Vol 2013
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pp. 1-7
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2004 ◽
Vol 2004
(2)
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pp. 159-168
2012 ◽
Vol 05
(01)
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pp. 1250007
1999 ◽
Vol 22
(1)
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pp. 171-177
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1997 ◽
Vol 86
(5-6)
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pp. 1373-1384
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Keyword(s):
2010 ◽
Vol 47
(04)
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pp. 908-922
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2010 ◽
Vol 43
(4)
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pp. 217-219
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Keyword(s):
Keyword(s):
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