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On Logit Weibull Manifold

Published 30 Sep 2025 in math.ST, math.DG, and stat.TH | (2510.03299v1)

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.

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