Several Functions Originating from Fisher–Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions-Reference-Cited by-同舟云学术

Several Functions Originating from Fisher–Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions

Published:2023-12-22 Issue:1 Volume:12 Page:44
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Qi Feng¹²³^ORCID,Agarwal Ravi Prakash⁴^ORCID

Affiliation:

1. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China

2. School of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, China

3. Independent Researcher, Dallas, TX 75252-8024, USA

4. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363-8202, USA

Abstract

In this paper, the authors review and survey some results published since 2020 about (complete) monotonicity, inequalities, and their necessary and sufficient conditions for several newly introduced functions involving polygamma functions and originating from the estimation of the sectional curvature of the Fisher–Rao geometry of the Dirichlet distributions in the two-dimensional case.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/12/1/44/pdf

Reference59 articles.

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3. Fisher–Rao geometry of Dirichlet distributions;Brigant;Differ. Geom. Appl.,2021

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