Approximating the Distribution of Pareto Sums

@article{Zaliapin2003ApproximatingTD,
  title={Approximating the Distribution of Pareto Sums},
  author={I. Zaliapin and Y. Kagan and F. Schoenberg},
  journal={pure and applied geophysics},
  year={2003},
  volume={162},
  pages={1187-1228}
}
Heavy tailed random variables (rvs) have proven to be an essential element in modeling a wide variety of natural and human-induced processes, and the sums of heavy tailed rvs represent a particularly important construction in such models. Oriented toward both geophysical and statistical audiences, this paper discusses the appearance of the Pareto law in seismology and addresses the problem of the statistical approximation for the sums of independent rvs with common Pareto distribution F(x)=1… Expand
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