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

Author

Listed:
  • Feng Qi

    (School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China
    School of Mathematics and Physics, Hulunbuir University, Hulunbuir 021008, China
    Independent Researcher, Dallas, TX 75252-8024, USA)

  • Ravi Prakash Agarwal

    (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.

Suggested Citation

  • Feng Qi & Ravi Prakash Agarwal, 2023. "Several Functions Originating from Fisher–Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions," Mathematics, MDPI, vol. 12(1), pages 1-21, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:44-:d:1305910
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