Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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