When does the mean excess plot look linear?

Details When does the mean excess plot look linear? When does the mean excess plot look linear?

2010-11-30

arxiv.org/abs/1011.6447v1

Mathematics

Statistics Theory

14 pages

Scientific paper

In risk analysis, the mean excess plot is a commonly used exploratory plotting technique for confirming iid data is consistent with a generalized Pareto assumption for the underlying distribution, since in the presence of such a distribution thresholded data have a mean excess plot that is roughly linear. Does any other class of distributions share this linearity of the plot? Under some extra assumptions, we are able to conclude that only the generalized Pareto family has this property.

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