Convexity of a ratio function involving polygamma functions and monotonicity of the sectional curvature of the Fisher--Rao manifold
Year: 2026
Type: preprint
Abstract: This paper proves that the sectional curvature of the Fisher--Rao manifold of beta distributions, restricted to the diagonal, is strictly decreasing. The proof is based on a general convexity lemma for ratios involving positive decreasing functions and is applied to a quotient of polygamma functions.
Source: arXiv (Cornell University)
Author: Qi, Feng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1173668659, G3510990873
OpenAlex ID: W7212296696