A general class of continuous asymmetric distributions with positive support
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909955025534976 |
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| author | Quintino, Felipe S. Rathie, Pushpa N. Ozelim, Luan C. S. M. da Fonseca, Tiago A. Vila, Roberto |
| author_facet | Quintino, Felipe S. Rathie, Pushpa N. Ozelim, Luan C. S. M. da Fonseca, Tiago A. Vila, Roberto |
| contents | In order to better fit real-world datasets, studying asymmetric distribution is of great interest. In this work, we derive several mathematical properties of a general class of asymmetric distributions with positive support which shows up as a unified framework for Extreme Value Theory asymptotic results. The new model generalizes some well-known distribution models such as Generalized Gamma, Inverse Gamma, Weibull, Fréchet, Half-normal, Modified half-normal, Rayleigh, and Erlang. To highlight the applicability of our results, the performance of the analytical models is evaluated through real-life dataset modeling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09787 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A general class of continuous asymmetric distributions with positive support Quintino, Felipe S. Rathie, Pushpa N. Ozelim, Luan C. S. M. da Fonseca, Tiago A. Vila, Roberto Statistics Theory Applications 60E05, 62Exx, 62Fxx In order to better fit real-world datasets, studying asymmetric distribution is of great interest. In this work, we derive several mathematical properties of a general class of asymmetric distributions with positive support which shows up as a unified framework for Extreme Value Theory asymptotic results. The new model generalizes some well-known distribution models such as Generalized Gamma, Inverse Gamma, Weibull, Fréchet, Half-normal, Modified half-normal, Rayleigh, and Erlang. To highlight the applicability of our results, the performance of the analytical models is evaluated through real-life dataset modeling. |
| title | A general class of continuous asymmetric distributions with positive support |
| topic | Statistics Theory Applications 60E05, 62Exx, 62Fxx |
| url | https://arxiv.org/abs/2512.09787 |