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Why Burr Distribution: Invariance-Based Explanation.
- Source :
-
International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems . 2023 Supplement, Vol. 31, p243-257. 15p. - Publication Year :
- 2023
-
Abstract
- In many practical situations, we observe a special Burr probability distribution — e.g., Burr distribution describes the distribution of people by income, it describes the rainfall data, etc. In this paper, we provide a theoretical explanation for the ubiquity of Burr distributions: namely, we show that this distribution naturally follows from scale-invariance. To be more precise, the simplest distribution that can be obtained from scale invariance is the Pareto distribution — a frequent particular case of the general Burr family of distributions. Next simplest are all distributions from the Burr family. We also use the scale-invariance approach to come up with a more general class of distributions that will, hopefully, provide an even more accurate description of the corresponding phenomena. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02184885
- Volume :
- 31
- Database :
- Academic Search Index
- Journal :
- International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems
- Publication Type :
- Academic Journal
- Accession number :
- 175256839
- Full Text :
- https://doi.org/10.1142/S0218488523400147