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.

1. Brigant, A.L., and Puechmorel, S. (2019). The Fisher-Rao geometry of beta distributions applied to the study of canonical moments. arXiv.

2. Brigant, A.L., Preston, S., and Puechmorel, S. (2020). Fisher–Rao geometry of Dirichlet distributions. arXiv.

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

4. Agarwal, R.P., Karapinar, E., Kostić, M., Cao, J., and Du, W.-S. (2022). A brief overview and survey of the scientific work by Feng Qi. Axioms, 11.

5. Arvanitidis, G., González-Duque, M., Pouplin, A., Kalatzis, D., and Hauberg, S. (2022). Pulling back information geometry. arXiv.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Properties on Normalized Tails of Maclaurin Power Series Expansion of Exponential Function;Symmetry;2024-08-05

2. A New Closed-Form Formula of the Gauss Hypergeometric Function at Specific Arguments;Axioms;2024-05-10

3. Two Approximation Formulas for Gamma Function with Monotonic Remainders;Mathematics;2024-02-23

4. Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function;Demonstratio Mathematica;2024-01-01