LIMITING BEHAVIOUR FOR ARRAYS OF UPPER EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
2015 ◽
Vol 92
(1)
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pp. 159-167
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Keyword(s):
For triangular arrays $\{X_{n,k}:1\leqslant k\leqslant n,n\geqslant 1\}$ of upper extended negatively dependent random variables weakly mean dominated by a random variable $X$ and sequences $\{b_{n}\}$ of positive constants, conditions are given to guarantee an almost sure finite upper bound to $\sum _{k=1}^{n}(X_{n,k}-\mathbb{E}X_{n,k})/\!\sqrt{b_{n}\,\text{Log}\,n}$, where $\text{Log}\,n:=\max \{1,\log n\}$, thus getting control over the limiting rate in terms of the prescribed sequence $\{b_{n}\}$ and permitting us to weaken or strengthen the assumptions on the random variables.
2015 ◽
Vol 92
(3)
◽
pp. 524-524
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2016 ◽
Vol 5
(3)
◽
pp. 102
2015 ◽
Vol 146
(1)
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pp. 56-70
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2018 ◽
Vol 48
(6)
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pp. 1351-1366
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2002 ◽
Vol 34
(03)
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pp. 609-625
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2011 ◽
Vol 31
(1)
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pp. 344-352
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2017 ◽
Vol 46
(24)
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pp. 12387-12400
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2011 ◽
Vol 29
(3)
◽
pp. 375-385
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