On the rate of convergence in the strong law of large numbers for arrays
1992 ◽
Vol 45
(3)
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pp. 479-482
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Keyword(s):
The Law
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For sequences of independent and identically distributed random variables it is well known that the existence of the second moment implies the law of the iterated logarithm. We show that the law of the iterated logarithm does not extend to arrays of independent and identically distributed random variables and we develop an analogous rate result for such arrays under finite fourth moments.
1991 ◽
Vol 35
(4)
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pp. 653-666
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Keyword(s):
1967 ◽
Vol 63
(1)
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pp. 73-82
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1970 ◽
Vol 15
(3)
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pp. 509-514
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Keyword(s):
2016 ◽
Vol 45
(21)
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pp. 6209-6222
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Keyword(s):
2017 ◽
Vol 96
(2)
◽
pp. 333-344
1995 ◽
Vol 52
(2)
◽
pp. 181-198
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