Heavy-Tailed Probability Distributions: Some Examples of Their Appearance-Reference-Cited by-同舟云学术

Heavy-Tailed Probability Distributions: Some Examples of Their Appearance

Published:2023-07-13 Issue:14 Volume:11 Page:3094
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Klebanov Lev B.¹,Kuvaeva-Gudoshnikova Yulia V.²,Rachev Svetlozar T.³^ORCID

Affiliation:

1. Department of Probability and Mathematical Statistics, Charles University, 186 75 Prague, Czech Republic

2. Department of Finance, Money Circulation and Credit, Ural State University of Economics, 620144 Yekaterinburg, Russia

3. Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USA

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.

Funder

MDPI

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/14/3094/pdf

Reference9 articles.

1. Pareto, V. (1964). Cours d’Économie Politique: Nouvelle édition par G.-H. Bousquet et G. Busino, Librairie Droz.

2. The frequency distribution of scientific productivity;Lotka;J. Wash. Acad. Sci.,1926

3. Zipf, G.K. (1949). Human Behavior and the Principle of Least Effort, Addison-Wesley.

4. Lindquist, W.B., Rachev, S.T., Hu, Y., and Shirvani, A. (2022). Advanced REIT Portfolio Optimization. Innovative Tools for Risk Management, Springer.

5. Klebanov, L.B., Kozubowski, T.J., and Rachev, S.T. (2006). Ill-Posed Problems in Probability and Stability of Random Sums, Nova Science Publishers, Inc.

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