Gini Inequality Index: Methods and Applications
Cover -- Title Pages -- Half Title -- Copyright Page -- Dedication Page -- Contents -- Foreword: Giovanni Maria Gior -- Foreword: Shelemyahu Zacks -- Foreword: K.V. Mardia -- Preface -- Contributors -- 1 Introducing Informal Inequality Measures(IIMs) Constructed from U-statistics of Degree Three or Higher in Analyzing Economic Disparity -- 1.1 Introduction -- 1.1.1 A Brief Review of the Literature -- 1.1.2 A Modest Goal and the Layout of This Paper -- 1.2 Preliminaries, Illustrations, and Economic Persuasions Behind the New IIMs -- 1.2.1 Some Preliminaries -- 1.2.1.1 IIMs of Degree 3 -- 1.2.1.2 IIMs of Degree 4 -- 1.2.2 Economic Persuasions and Motivations via Illustrations -- 1.2.2.1 Illustration 2.1: Different Income DistributionsWith Same Misleading G -- 1.2.2.2 Illustration 2.2: Same Income Distribution with Different G -- 1.2.3 Illustrations via Simulations Under Gamma andLognormal Distributions -- 1.3 A General Class of New IIMs -- 1.3.1 Selected Properties of the New IIMs -- 1.3.2 Addressing the Pigou-Dalton Transfer Property -- 1.3.2.1 Empirical Validation of Pigou-Dalton Transfer -- 1.4 Moments of IIMs With Applications -- 1.4.1 A Consistent Estimator of ξ Defined Via (4.1) -- 1.4.2 Applications: Large-Sample Confidence Intervals for θkl -- 1.5 Illustrations With Real Data -- 1.5.1 One-Sample Problems -- 1.5.2 Two-Sample Problems -- 1.6 Concluding Thoughts -- 1.6.1 Special Attention to IIMs H21 and H31 -- 1.6.2 Special Attention to IIM H22 -- 1.6.3 Last Words -- Acknowledgments -- References -- 2 The Decomposition of the Gini Index Between and Within Groups: A Key Factor in Gender Studies An Application in the Context of Salary Distribution in Spain -- 2.1 Introduction -- 2.2 Methodology: Decomposition of the Gini Index Betweenand Within Groups -- 2.3 Description of the Data.