On Logit Weibull Manifold
Statistics Theory
2025-10-07 v1 Differential Geometry
Statistics Theory
Abstract
In this work, it is shown that there is no potential function on the Weilbull statistical manifold. However, from the two-parameter Weibull model we can extract a model with a potential function called the logit model. On this logit model, there is a completely integrable Hamiltonian gradient system.
Cite
@article{arxiv.2510.03299,
title = {On Logit Weibull Manifold},
author = {Prosper Rosaire Mama Assandje and Joseph Dongho and Thomas Bouetou Bouetou},
journal= {arXiv preprint arXiv:2510.03299},
year = {2025}
}