The information theory of comparisons : with applications to statistics and the social sciences /: with applications to statistics and the social sciences. (2018)

• Record Type: Book
• Further Information: Note: Roger Bowden.
• Authors: Bowden, Roger
• Contents: Intro; Preface; Contents; Introduction; 1 Partition Entropy; 1.1 Introduction; 1.2 Information, Complexity and Entropy; 1.2.1 Entropic Decompositions; 1.3 Partition Entropy; 1.3.1 Complexity and the Psychology of Investment Decisions; 1.3.2 An Extension: The Frequency Domain; 1.4 Partition Entropy and the Log Odds Function; 1.5 Discrete Valued Random Variables and Histograms; 1.6 Resolving Grade Uncertainty; 1.7 Tail Complexity and Market Clearing Prices; 1.8 Literature Notes; References; 2 Entropic Shifting Perspectives and Applications; 2.1 Introduction; 2.2 Left and Right Entropic Shifts. 2.3 Shift Kernels: Concentrators and Spreaders2.3.1 Some Extensions; 2.4 Perspectives on Mixture Distributions; 2.5 The Entropic Kernel: Data Smoothing and End Correction; 2.5.1 End Correction with Kernel Compression; 2.6 The Social Dynamics of Opinion; 2.6.1 The Momentum of Opinion; 2.7 Application of Mixture Theory to Value at Risk; 2.8 Literature Notes; References; 3 Moments, Measures and Metrics; 3.1 Introduction; 3.2 Moments for the Entropic Shifts; 3.3 The Double Smoothing Property; 3.4 Asymmetry and Spread Functions; 3.5 Summary Metrics for Asymmetry and Spread. 3.6 Gini's Mean Absolute Difference and Welfare Variants3.7 The Economic Dynamics of Remuneration Relativities; 3.8 Relationship with Stochastic Dominance; 3.9 Literature Notes; References; 4 Information Comparisons in Practice; 4.1 Introduction; 4.2 Income Distribution; 4.3 Implementation as Entropic Asymmetry and Spread Metrics; 4.3.1 Social Welfare Aspects; 4.3.2 Dynamics: The v-d Phase Plane; 4.4 Application to Stock Market Performance; 4.5 Actuarial Life Expectancy; 4.6 Literature Notes; References; 5 Binary Perspectives for Spread and Asymmetry; 5.1 Introduction. 5.2 A First Approach Based on Spanning5.3 Bipolarity: The Entropic Centre and Equivalent Width; 5.4 Polar Asymmetry and Spread Metrics; 5.5 Fund Performance Measures; 5.6 Actuarial Uncertainty Revisited; 5.7 Literature Notes; References; 6 Higher Dimensions; 6.1 Introduction; 6.2 Higher Dimensions: Directional Shifting Perspectives; 6.2.1 Left and Right Hand Smoothing Moments; 6.2.2 Co-smoothing; 6.3 Index Combinations; 6.4 Co-smoothing and the Ordered Mean Difference; 6.4.1 The OMD in Context: Some Financial Decision Theory; 6.4.2 Do Hedge Funds Really Add Value?; 6.5 Literature Notes.
• Publisher Details: Singapore : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 003/.54; Information theory; Multiple comparisons (Statistics); SCIENCE -- System Theory; TECHNOLOGY & ENGINEERING -- Operations Research; Information theory; Multiple comparisons (Statistics); Statistical Theory and Methods; Electronic books
• Languages: English
• ISBNs: 9789811315503; 9811315507
• Related ISBNs: 9789811315497; 9811315493
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed July 26, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.