in honour of Corrado Gini SIS 2015 Treviso, Italy /
Corrado Crocetta, editor.
Cham, Switzerland :
Springer,
2019.
1 online resource (xv, 121 pages) :
illustrations (some color)
Springer proceedings in mathematics & statistics,
volume 274
2194-1009 ;
Intro; Preface; Contents; About the Editor; Gini's Influence on Today's Statistics; ReferencesBibliography; Entropy Measures: An Health Care Study; 1 Introduction; 2 Triage Process; 3 Entropy Measures; 3.1 Shannon's Entropy; 3.2 Conditional Entropy; 3.3 Joint Entropy; 3.4 Mutual Information; 3.5 Cross Entropy; 4 Health Care Study; 4.1 Triage Data; 4.2 Descriptive Analysis; 4.3 Data Analysis; 5 Discussion and Conclusion; References; A Review on Heterogeneity Test: Some Permutation Procedures; 1 Introduction and Heterogeneity Indexes; 2 Two-Sided and Multi-sample Test; 3 Some Applications
3.1 Dominance in Heterogeneity: Market Segmentation3.2 Two-Sided Test: Heterogeneity as a Measure of Uncertainty; 3.3 Multi-sample Test: Ethnic Heterogeneity; References; Robust Estimation of Skew-Normal Parameters with Application to Outlier Labelling; 1 Introduction; 2 Robust Estimation; 2.1 Skew-Normal Distribution; 2.2 Quantile-Based Estimation; 2.3 Moment-Based Estimation; 3 Outlier Labelling; 4 Conclusion; References; Asymptotics of S-Weighted Estimators; 1 An Overview of Present State; 2 Fixing the Framework; 3 S-Weighted Estimator and Its Consistency
3.1 Simulation Studies4 Discussion and Generalization; References; Bayesian Estimation of Gini-Simpson's Index Under Mainland-Island Community Structure; 1 Introduction; 2 Moments of Gini-Simpson's Diversity Under Gibbs-Type Priors; 3 The Neutral Theory of Biodiversity in Community Ecology; 3.1 The Mainland Island Community Structure; 3.2 Moments of Gini-Simpson's Diversity Under Mainland-Island Neutral Model; 4 Discussion; References; Spatial Residential Patterns of Selected Foreign Groups. A Study in Four Italian Cities; 1 Introduction; 2 Data and Methods; 3 Results; 4 Conclusions
4 sqrtn-Consistency of S-Weighted Estimator5 Patterns of Results of Simulation Study; 6 Conclusions; References; Gini's Delta to Measure Intensity of Multidimensional Performance; 1 Introduction; 2 The Multidimensional Performance Indicator P P P P0; 3 Multivariate Performance of Regional Well Being: A First Example Application; 4 A Closer Look at MPI: A Second Example; References; Frequentist and Bayesian Small-Sample Confidence Intervals for Gini's Gamma Index in a Gaussian Bivariate Copula; 1 Introduction; 2 Background Theory; 3 Confidence Intervals for Gini's Gamma Index
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This book is devoted to Corrado Gini, father of the Italian statistical school. It celebrates the 50th anniversary of his death by bearing witness to the continuing extraordinary scientific relevance of his interdisciplinary interests. The book comprises a selection of the papers presented at the conference of the Italian Statistical Society, Statistics and Demography - the Legacy of Corrado Gini, held in Treviso in September 2015. The work covers many topics linked to Gini's scientific legacy, ranging from the theory of statistical inference to multivariate statistical analysis, demography and sociology. In this volume, readers will find many interesting contributions on entropy measures, permutation procedures for the heterogeneity test, robust estimation of skew-normal parameters, S-weighted estimator, measures of multidimensional performance using Gini's delta, small-sample confidence intervals for Gini's gamma index, Bayesian estimation of the Gini-Simpson index, spatial residential patterns of selected foreign groups, minority segregation processes, dynamic time warping to study cruise tourism, and financial stress spill over. This book will appeal to all statisticians, demographers, economists, and sociologists interested in the field.