The geometric structure of the inverse Gamma distribution

Li Tongzhu; Peng Linyu; Sun Huafei

The geometric structure of the inverse Gamma distribution

Li Tongzhu, Peng Linyu, Sun Huafei

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	217-225
Number of pages	9
Journal	Beitrage zur Algebra und Geometrie
Volume	49
Issue number	1
Publication status	Published - 2008 Apr 7
Externally published	Yes

Keywords

Divergence
Gaussian curvature
Ricci curvature
The inverse Gamma distribution

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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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.",

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KW - Ricci curvature

KW - The inverse Gamma distribution

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The geometric structure of the inverse Gamma distribution

Abstract

Keywords

ASJC Scopus subject areas

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