Stability and Heavy-Tailness

  • Lev B. KlebanovEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 193)


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.


Characterization 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 ( and Forbes ( in year 2015. The work was partially supported by Grant GACR 16-03708S.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Faculty of Mathematics and Physics, Department of Probability and Mathematical StatisticsCharles UniversityPragueCzech Republic

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