The Information Theory of Comparisons

With Applications to Statistics and the Social Sciences

  • Roger Bowden

Table of contents

  1. Front Matter
    Pages i-xv
  2. Roger Bowden
    Pages 1-24
  3. Roger Bowden
    Pages 57-74
  4. Roger Bowden
    Pages 75-94
  5. Roger Bowden
    Pages 111-124
  6. Roger Bowden
    Pages 125-145
  7. Back Matter
    Pages 147-159

About this book


This book finds a broad domain of relevance in statistics and the social sciences. Its conceptual development is supported by applications to economics and income distribution, finance, education, demographics and actuarial science, political studies, psychology, and general statistics.

Fresh perspectives on directional complexity have generated an informational theory of ‘more versus less’, with representative polar outcomes as good or bad, or rich or poor. New duality metrics for spread and asymmetry have resulted, motivated by internal perspectives on the part of subjects, such as attitudes to their comparative (dis)advantage. This book is a readable review of these developments. Concepts and applications are described in tandem with each other. They consolidate recent contributions to the research literature, augmented with fresh insights and applications. Dynamic extensions include modeling shifting social attitudes, while the broader agenda encompasses topical areas such as subjectivist probability, investment decision making, and income distribution.


Partition Entropy Differential Entropy Spread and Asymmetry Double Smoothing Shannon Differential Entropy Dispersion D-Metric Distribution Shifting Entropic Shifts Entropy Bandwidth Entropic Centre Entropy Divergence Friedman–Savage Gini Coefficient Income Inequality Log Odds Gini Mean Absolute Difference Mutual Information Social Welfare Function V-Metric

Authors and affiliations

  • Roger Bowden
    • 1
  1. 1.Kiwicap Research Ltd.KelburnNew Zealand

Bibliographic information

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