One sided strong laws for random variables with infinite mean
This paper establishes conditions that secure the almost sure upper and lower bounds for a particular normalized weighted sum of independent nonnegative random variables. These random variables do not possess a finite first moment so these results are not typical. These mild conditions allow us to s...
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Format: | Article |
Language: | English |
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De Gruyter
2017-06-01
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Series: | Open Mathematics |
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Online Access: | http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0070/math-2017-0070.xml?format=INT |