Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 1, pp. 217-225 (2008)
The Geometric Structure of the Inverse Gamma Distribution
Tongzhu Li, Linyu Peng and Huafei SunDepartment of Mathematics, Beijing Institute of Technology, Beijing, 100081 China; e-mail: email@example.com e-mail: firstname.lastname@example.org e-mail: email@example.com
Abstract: In the present paper we study the geometric structure of the inverse Gamma manifold from the viewpoint of information geometry and give the Kullback divergence, the J-divergence and the geodesic equations. Also, some applications of the inverse Gamma distribution are provided.
Keywords: the inverse Gamma distribution, Ricci curvature, Gaussian curvature, divergence
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Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.