Information geometry and alpha-parallel prior of the beta-logistic distribution

Lin Jiu and Linyu Peng

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 11, 3292-3306

Abstract: The hyperbolic secant distribution has several generalizations with applications in, for example, finance. In this study, we explore the dual geometric structure of one such generalization: the beta-logistic distribution. Within this family, two special cases of random variables, as examples, are of particular interests: their moments, by some recent results, give the Bernoulli and Euler polynomials, which are important objects in many areas of mathematics. This current study also uncovers that the beta-logistic distribution admits a α-parallel prior for any real number α, that has the potential for application in geometric statistical inference.

Date: 2025
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DOI: 10.1080/03610926.2024.2387839

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