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arXiv · 2512.09787

A general class of continuous asymmetric distributions with positive support

Felipe S. Quintino·Pushpa N. Rathie·Luan C. S. M. Ozelim·Tiago A. da Fonseca·Roberto Vila
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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, Fr\'echet, 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.

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Felipe S. Quintino, Pushpa N. Rathie, Luan C. S. M. Ozelim, Tiago A. da Fonseca, Roberto Vila. 2025-12-10. A general class of continuous asymmetric distributions with positive support. https://arxiv.org/abs/2512.09787

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