The Information Theory of Comparisons
With Applications to Statistics and the Social Sciences
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Beschreibung
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 suchas subjectivist probability, investment decision making, and income distribution.
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.
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
Autor*in
Roger Bowden
Themen in »The Information Theory of Comparisons«
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