{"ID":2830782,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.09787","arxiv_id":"2512.09787","title":"A general class of continuous asymmetric distributions with positive support","abstract":"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.","short_abstract":"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...","url_abs":"https://arxiv.org/abs/2512.09787","url_pdf":"https://arxiv.org/pdf/2512.09787v1","authors":"[\"Felipe S. Quintino\",\"Pushpa N. Rathie\",\"Luan C. S. M. Ozelim\",\"Tiago A. da Fonseca\",\"Roberto Vila\"]","published":"2025-12-10T16:08:48Z","proceeding":"math.ST","tasks":"[\"math.ST\",\"stat.AP\"]","methods":"[]","has_code":false}