Strong laws of large numbers for arrays of rowwise conditionally independent random elements
1993 ◽
Vol 6
(1)
◽
pp. 1-9
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Keyword(s):
Let {Xnk} be an array of rowwise conditionally independent random elements in a separable Banach space of type p, 1≤p≤2. Complete convergence of n−1r∑k=1nXnk to 0, 0<r<p≤2 is obtained by using various conditions on the moments and conditional means. A Chung type strong law of large numbers is also obtained under suitable moment conditions on the conditional means.
1987 ◽
Vol 10
(4)
◽
pp. 805-814
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1993 ◽
Vol 16
(3)
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pp. 587-591
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Keyword(s):
2004 ◽
Vol 2004
(9)
◽
pp. 443-458
Keyword(s):
2017 ◽
Vol 96
(2)
◽
pp. 333-344
1994 ◽
Vol 17
(1)
◽
pp. 1-14
◽
Keyword(s):
2003 ◽
Vol 21
(6)
◽
pp. 1305-1331
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Keyword(s):
1983 ◽
Vol 6
(1)
◽
pp. 69-79
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2009 ◽
Vol 2009
◽
pp. 1-12
◽
2002 ◽
Vol 20
(4)
◽
pp. 731-753
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