Heavy-Tailed Probability Distributions: Some Examples of Their Appearance

Abstract

We provide two examples of the appearance of heavy-tailed distributions in social sciences applications. Among these distributions are the laws of Pareto and Lotka and some new ones. The examples are illustrated through the construction of suitable toy models.

Description

© 2023 by the authors. cc-by

Rights

Availability

Keywords

heavy-tailed distributions, Lotka’s law, Pareto’s law, probability-generating function, Zipf’s law

Citation

Klebanov, L.B., Kuvaeva-Gudoshnikova, Y.V., & Rachev, S.T.. 2023. Heavy-Tailed Probability Distributions: Some Examples of Their Appearance. Mathematics, 11(14). https://doi.org/10.3390/math11143094

Collections