Complete convergence for sums of arrays of random elements
2000 ◽
Vol 23
(11)
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pp. 789-794
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Let{Xni}be an array of rowwise independentB-valued random elements and{an}constants such that0<an↑∞. Under some moment conditions for the array, it is shown that∑i=1nXni/anconverges to0completely if and only if∑i=1nXni/anconverges to0in probability.
2012 ◽
Vol 30
(2)
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pp. 343-353
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1987 ◽
Vol 10
(4)
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pp. 805-814
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2007 ◽
Vol 44
(2)
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pp. 467-476
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1993 ◽
Vol 16
(3)
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pp. 587-591
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2008 ◽
Vol 78
(11)
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pp. 1283-1289
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A Note on Complete Convergence for Arrays of Rowwise Independent Banach Space Valued Random Elements
2010 ◽
Vol 28
(3)
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pp. 565-575
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2020 ◽
Vol 39
(1)
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pp. 177-193
Keyword(s):
1999 ◽
Vol 17
(6)
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pp. 963-992
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1993 ◽
Vol 6
(1)
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pp. 1-9
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