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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Bibliographic Details
Main Author: Adler André
Format: Article
Language:English
Published: De Gruyter 2017-06-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0070/math-2017-0070.xml?format=INT