2017 / June Volume 12 No.2
Exact Weak Laws and One Sided Strong Laws
Published Date |
2017 / June
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Title | Exact Weak Laws and One Sided Strong Laws |
Author | |
Keyword | |
Download | |
Pagination | 103-124 |
Abstract | This paper explores Exact Weak Laws and their almost sure counterparts. First we
show that the weighted sums of our infinite mean random variables can be balanced by a
carefully selected sequence, i.e., that the ratio converges to one in probability. Then it is
shown that the upper limit is almost surely infinity, while the lower limit is one.
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DOI | |
AMS Subject Classification |
60F05, 60F15.
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Received |
2016-09-11
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Accepted |
2017-01-30
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