Computational information geometry in statistics: theory and practice

Critchley, Frank and Marriott, Paul (2014). Computational information geometry in statistics: theory and practice. Entropy, 16(5) pp. 2454–2471.

DOI: https://doi.org/10.3390/e16052454

Abstract

A broad view of the nature and potential of computational information geometry in statistics is offered. This new area suitably extends the manifold-based approach of classical information geometry to a simplicial setting, in order to obtain an operational universal model space. Additional underlying theory and illustrative real examples are presented. In the infinite-dimensional case, challenges inherent in this ambitious overall agenda are highlighted and promising new methodologies indicated.

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About

• Item ORO ID
• 41310
• Item Type
• Journal Item
• ISSN
• 1099-4300
• Extra Information
• Special Issue: Information Geometry
• Keywords
• information geometry; computational geometry; statistical foundations
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2014 by the authors
• Depositing User
• Frank Critchley