Overview
Provides a single reference framework for multiple cross-disciplinary applications
Offers multiple field applications, including grade scaling, opinion polling, graph smoothing, income distribution, and finance
Features computer code in Excel-VBA (Visual Basic for Applications) suitable for generalist use
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Table of contents (7 chapters)
Keywords
- 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
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.
Authors and Affiliations
About the author
Roger Bowden has extensive international experience in academia and research institutions, with permanent or visiting professorships and research fellowships spanning eight countries. His research has resulted in many journal articles, as well as research monographs, spanning economics, econometrics, statistics, finance, psychometrics, management science and law. A New Zealander by birth, Roger is a fellow of the Royal Society of New Zealand. He is currently Director, Kiwicap Research Ltd in Wellington, New Zealand.
Bibliographic Information
Book Title: The Information Theory of Comparisons
Book Subtitle: With Applications to Statistics and the Social Sciences
Authors: Roger Bowden
DOI: https://doi.org/10.1007/978-981-13-1550-3
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-13-1549-7Published: 11 August 2018
Softcover ISBN: 978-981-13-4647-7Published: 19 January 2019
eBook ISBN: 978-981-13-1550-3Published: 19 July 2018
Edition Number: 1
Number of Pages: XV, 159
Number of Illustrations: 4 b/w illustrations, 40 illustrations in colour
Topics: Statistical Theory and Methods