Heavy-Tailed Probability Distributions: Some Examples of Their Appearance
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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/14/3094 |
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| author | Lev B. Klebanov Yulia V. Kuvaeva-Gudoshnikova Svetlozar T. Rachev |
| author_facet | Lev B. Klebanov Yulia V. Kuvaeva-Gudoshnikova Svetlozar T. Rachev |
| author_sort | Lev B. Klebanov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T00:52:11Z |
| format | Article |
| id | doaj.art-d818dc1373f6486c93044297d0578560 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:52:11Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d818dc1373f6486c93044297d05785602023-11-18T20:20:26ZengMDPI AGMathematics2227-73902023-07-011114309410.3390/math11143094Heavy-Tailed Probability Distributions: Some Examples of Their AppearanceLev B. Klebanov0Yulia V. Kuvaeva-Gudoshnikova1Svetlozar T. Rachev2Department of Probability and Mathematical Statistics, Charles University, 186 75 Prague, Czech RepublicDepartment of Finance, Money Circulation and Credit, Ural State University of Economics, 620144 Yekaterinburg, RussiaDepartment of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409, USAWe 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.https://www.mdpi.com/2227-7390/11/14/3094heavy-tailed distributionsPareto’s lawLotka’s lawZipf’s lawprobability-generating function |
| spellingShingle | Lev B. Klebanov Yulia V. Kuvaeva-Gudoshnikova Svetlozar T. Rachev Heavy-Tailed Probability Distributions: Some Examples of Their Appearance Mathematics heavy-tailed distributions Pareto’s law Lotka’s law Zipf’s law probability-generating function |
| title | Heavy-Tailed Probability Distributions: Some Examples of Their Appearance |
| title_full | Heavy-Tailed Probability Distributions: Some Examples of Their Appearance |
| title_fullStr | Heavy-Tailed Probability Distributions: Some Examples of Their Appearance |
| title_full_unstemmed | Heavy-Tailed Probability Distributions: Some Examples of Their Appearance |
| title_short | Heavy-Tailed Probability Distributions: Some Examples of Their Appearance |
| title_sort | heavy tailed probability distributions some examples of their appearance |
| topic | heavy-tailed distributions Pareto’s law Lotka’s law Zipf’s law probability-generating function |
| url | https://www.mdpi.com/2227-7390/11/14/3094 |
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