The geometric structure of the inverse Gamma distribution

Li Tongzhu, Linyu Peng, Sun Huafei

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)217-225
Number of pages9
JournalBeitrage zur Algebra und Geometrie
Volume49
Issue number1
Publication statusPublished - 2008
Externally publishedYes

Fingerprint

Gamma distribution
Geometric Structure
Divergence
Information Geometry
Geodesic

Keywords

  • Divergence
  • Gaussian curvature
  • Ricci curvature
  • The inverse Gamma distribution

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

The geometric structure of the inverse Gamma distribution. / Tongzhu, Li; Peng, Linyu; Huafei, Sun.

In: Beitrage zur Algebra und Geometrie, Vol. 49, No. 1, 2008, p. 217-225.

Research output: Contribution to journalArticle

Tongzhu, Li ; Peng, Linyu ; Huafei, Sun. / The geometric structure of the inverse Gamma distribution. In: Beitrage zur Algebra und Geometrie. 2008 ; Vol. 49, No. 1. pp. 217-225.
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