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arXiv · 2312.10710

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

Lin Jiu·Linyu Peng
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Abstract

The hyperbolic secant distribution has several generalizations with applications in finance. In this study, we explore the dual geometric structure of one such generalization, namely the beta-logistic distribution. Recent findings also interpret Bernoulli and Euler polynomials as moments of specific random variables, treating them as special cases within the framework of the beta-logistic distribution. The current study also uncovers that the beta-logistic distribution admits an $\alpha$-parallel prior for any real number $\alpha$, that has the potential for application in geometric statistical inference.

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Lin Jiu, Linyu Peng. 2023-12-17. Information geometry and $\alpha$-parallel prior of the beta-logistic distribution. https://doi.org/10.1080/03610926.2024.2387839

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