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Heavy-Tailed Probability Distributions: Some Examples of Their Appearance
Version 1
: Received: 16 May 2023 / Approved: 17 May 2023 / Online: 17 May 2023 (05:41:04 CEST)
A peer-reviewed article of this Preprint also exists.
Klebanov, L.B.; Kuvaeva-Gudoshnikova, Y.V.; Rachev, S.T. Heavy-Tailed Probability Distributions: Some Examples of Their Appearance. Mathematics 2023, 11, 3094. Klebanov, L.B.; Kuvaeva-Gudoshnikova, Y.V.; Rachev, S.T. Heavy-Tailed Probability Distributions: Some Examples of Their Appearance. Mathematics 2023, 11, 3094.
Abstract
We give two examples of the appearance of heavy-tailed distributions in applications
to social sciences. Among these distributions are the laws of Pareto, Lotka, and some new ones. The examples are illustrated by constructing suitable toy models.
Keywords
heavy-tailed distributions; Pareto law; Lotka law; Zipf law; probability generating function.
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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