Stability and Heavy-Tailness
We discuss some simple statistical models leading to some families of probability distributions. These models are of specific interest because the desirable statistical property leads to functional equations having a large set of solutions. It appears that a small subset only of the set of all the solutions has probabilistic sense.
KeywordsCharacterization problems \(\nu \)-stable distributions Heavy-tailed distributions
Bloomberg dataset and Forbes dataset are data sets containing capitals of top 201 and 100 billionaires, respectively, and were extracted from the official web sites of Bloomberg (www.bloomberg.com) and Forbes (www.forbes.com) in year 2015. The work was partially supported by Grant GACR 16-03708S.
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