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2017 / December Volume 12 No.4
Exact laws of large numbers for independent Pareto random variables
Published Date
2017 / December
Title
Exact laws of large numbers for independent Pareto random variables
Author
Toshio Nakata
Keyword
Exact law of large numbers, Pareto distribution, infinite mean., Exact law of large numbers, Pareto distribution, infinite mean.
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Pagination
325-338
Abstract
This article explores weighted laws of large numbers, namely $\it{exact}$ $\it{laws}$, for independent $\it{Pareto}$ distributions with infinite mean. It contains not only exact weak laws but also exact strong laws. Moreover, we give a simple example of the exact strong law applying the algorithm of Adler and Wittmann (1994).
DOI
10.21915/BIMAS.2017403
https://doi.org/10.21915/BIMAS.2017403
AMS Subject
Classification
60F05, 60F15
Received
2017-10-28
Accepted
2017-12-02
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