Information_Geometry

1 Introduction

• 1.1 A Brief Synopsis
• 1.2 An InformalDescription
  • 1.2.1 The Fisher Metric and the Amari–Chentsov Structure for Finite Sample Spaces
  • 1.2.2 Infinite Sample Spaces and Functional Analysis
  • 1.2.3 ParametricStatistics
  • 1.2.4 Exponential and Mixture Families from the Perspective of DifferentialGeometry
  • 1.2.5 Information Geometry and Information Theory
• 1.3 HistoricalRemarks
• 1.4 Organizationof thisBook