Version 1
: Received: 17 February 2024 / Approved: 18 February 2024 / Online: 19 February 2024 (14:27:50 CET)
How to cite:
A Mageed, D.I. Info-Geometric Analysis of Gamma Distribution Manifold with Gamma Distribution Impact to Advance Satellite Earth Observations. Preprints2024, 2024020968. https://doi.org/10.20944/preprints202402.0968.v1
A Mageed, D.I. Info-Geometric Analysis of Gamma Distribution Manifold with Gamma Distribution Impact to Advance Satellite Earth Observations. Preprints 2024, 2024020968. https://doi.org/10.20944/preprints202402.0968.v1
A Mageed, D.I. Info-Geometric Analysis of Gamma Distribution Manifold with Gamma Distribution Impact to Advance Satellite Earth Observations. Preprints2024, 2024020968. https://doi.org/10.20944/preprints202402.0968.v1
APA Style
A Mageed, D.I. (2024). Info-Geometric Analysis of Gamma Distribution Manifold with Gamma Distribution Impact to Advance Satellite Earth Observations. Preprints. https://doi.org/10.20944/preprints202402.0968.v1
Chicago/Turabian Style
A Mageed, D.I. 2024 "Info-Geometric Analysis of Gamma Distribution Manifold with Gamma Distribution Impact to Advance Satellite Earth Observations" Preprints. https://doi.org/10.20944/preprints202402.0968.v1
Abstract
This study aims to reveal the revolutionary Gamma Distribution Manifold (GDM) info-geometric analysis combined with potential Gamma distribution(GD) applications to advance Satellite Earth Observations (SEOs). An exposition of the GDM Fisher Information Matrix (FIM) was undertaken, together with the analytic investigation of the existence of FIM’s inverse. The derivation of GDM’s Geodesic Equations (GEs) is undertaken. The solution of the obtained Geodesic Equations is optimally complicated, and it provides more extensions to numerous open problems. Notably, the current paper provides a first-time unification between three multi-interdisciplinary fields, namely, information geometry theory, probability theory, and Satellite earth observations. Looking at the other side of the coin, the provided revolutionary approach in this current work reports the significant impact of info-geometric analysis on the probabilistic dynamics as well as the influential role of information geometry on satellite and space industry. This poses numerous open issues that initiates a new form of contemporary unification between these inter-disciplinaries to discover another visionary thinking out of traditional statistical frames. In other words, refraining ourselves from using classical statistical frames of thinking and delving into a new info-geometric vision of statistical distributions as well as examining real life applications of information geometry to advance satellite earth observations. The curtain is drawn on this paper by providing several challenging open problems in combination with a concluding remark and the next phase of research.
Keywords
Information Geometry(IG); Gamma Distribution (GD); Satellite Earth Observations (SEOs); Geodesic Equations (GEs)
Subject
Engineering, Aerospace Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
