Comparative analysis and practical applications of cubic transmutations for the Pareto distribution
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917955758981120 |
|---|---|
| author | Katchekpele, Edoh Geraldo, Issa Cherif Kpanzou, Tchilabalo Abozou |
| author_facet | Katchekpele, Edoh Geraldo, Issa Cherif Kpanzou, Tchilabalo Abozou |
| contents | Transmutation is a technique for extending classical probability distributions in order to give them more flexibility. In this paper, we are interested in cubic transmutations of the Pareto distribution. We establish a general formula that unifies existing cubic transmutations of the Pareto distribution and facilitates the derivation of new cubic transmutations that have not yet been explored in the literature. We also derive general formulas for the related mathematical properties. Finally, we perform a comparative analysis of the six transmutations existing in the literature using real-world data. The results obtained confirm the flexibility and effectiveness of cubic transmutations in modeling various types of data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparative analysis and practical applications of cubic transmutations for the Pareto distribution Katchekpele, Edoh Geraldo, Issa Cherif Kpanzou, Tchilabalo Abozou Methodology 60E05, 62E15, 62F10, 62F99, 62P99 Transmutation is a technique for extending classical probability distributions in order to give them more flexibility. In this paper, we are interested in cubic transmutations of the Pareto distribution. We establish a general formula that unifies existing cubic transmutations of the Pareto distribution and facilitates the derivation of new cubic transmutations that have not yet been explored in the literature. We also derive general formulas for the related mathematical properties. Finally, we perform a comparative analysis of the six transmutations existing in the literature using real-world data. The results obtained confirm the flexibility and effectiveness of cubic transmutations in modeling various types of data. |
| title | Comparative analysis and practical applications of cubic transmutations for the Pareto distribution |
| topic | Methodology 60E05, 62E15, 62F10, 62F99, 62P99 |
| url | https://arxiv.org/abs/2503.10266 |