Springer Proceedings in Mathematics &

Volume 274 Springer Proceedings in Mathematics & Statistics

This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.

More information about this series at http://www.springer.com/series/10533 Corrado Crocetta Editor

Theoretical and Applied Statistics In Honour of Corrado Gini - SIS 2015, , , September 9–11

123 Editor Corrado Crocetta Department of University of Foggia Foggia, Italy

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-3-030-05419-9 ISBN 978-3-030-05420-5 (eBook) https://doi.org/10.1007/978-3-030-05420-5

Library of Congress Control Number: 2018965439

Mathematics Subject Classification (2010): S11001, S17040, S17010, S17030, X25000

© Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland Preface

This volume includes a selection of the papers presented at the conference of the Italian Statistical Society: Statistics and Demography - the Legacy of Corrado Gini (SIS 2015), held in Treviso on September 9–11, 2015. It covered a wide variety of topics linked in various ways to the scientific legacy of Corrado Gini, ranging from the theory of statistical inference to demography, biology, , and poverty studies. The topics addressed were of wide relevance to the social sciences, demography, and economics. This volume contains many interesting contributions on entropy measures (Ciavolino et al.), permutation procedures for the heterogeneity test (Salmaso et al.), robust estimation of skew-normal parameters (Romanazzi et al.), the S-weighted estimator (Víšek), measures of multidimensional performance using Gini’s delta (Terzi), small-sample confidence intervals for Gini’s gamma index (Mameli et al.), Bayesian estimation of the Gini–Simpson index (Cerquetti), spatial residential patterns of selected foreign groups (Benassi et al.), minority segregation processes (Natale et al.), dynamic time warping to study cruise tourism (Ferrante et al.), and financial stress spillover (Crocetta et al.). All papers published in the book have undergone rigorous peer review based on initial editor screening, anonymous refereeing by independent expert referees, and subsequent revision by article authors when required.

Foggia, Italy Corrado Crocetta October 2018

v Contents

Entropy Measures: An Health Care Study ...... 1 Enrico Ciavolino, Corrado Crocetta and Amjad D. Al-Nasser A Review on Heterogeneity Test: Some Permutation Procedures ...... 13 Stefano Bonnini, Eleonora Carrozzo and Luigi Salmaso Robust Estimation of Skew-Normal Parameters with Application to Outlier Labelling ...... 21 Mario Romanazzi Asymptotics of S-Weighted Estimators ...... 31 Jan Ámos Víšek Gini’s Delta to Measure Intensity of Multidimensional Performance ...... 43 Silvia Terzi and Luca Moroni Frequentist and Bayesian Small-Sample Confidence Intervals for Gini’s Gamma Index in a Gaussian Bivariate Copula ...... 49 Valentina Mameli and Alessandra R. Brazzale Bayesian Estimation of Gini-Simpson’s Index Under Mainland-Island Community Structure ...... 61 Annalisa Cerquetti Spatial Residential Patterns of Selected Foreign Groups. A Study in Four Italian Cities ...... 71 Federico Benassi and Fabio Lipizzi Minority Segregation Processes in an Urban Context: A Comparison Between Paris and ...... 83 Oliviero Casacchia, Luisa Natale and Gregory Verdugo

vii viii Contents

Similarity of GPS Trajectories Using Dynamic Time Warping: An Application to Cruise Tourism ...... 91 Mauro Ferrante, Christian Bongiorno and Noam Shoval The Financial Stress Spillover: Evidence from Selected Asian Countries ...... 103 Zulfiqar Ali Shah, Muhammad Ejaz Majeed, Biagio Simonetti and Corrado Crocetta About the Editor

Corrado Crocetta is Full Professor of Statistics at the University of Foggia, Italy. He received his Ph.D. in Statistics from the University of Bari in 1994. Dr. Crocetta has been an elected member of the SIS board (2012–16) and was appointed as Chairman of the Scientific Committee for the conference Statistics and Demography - the Legacy of Corrado Gini (SIS 2015). He has published over 60 papers in peer-reviewed national and international journals and proceedings, as well as a number of book chapters. He is an editorial board member or reviewer for a number of well-known journals. He has delivered many invited talks at national and international conferences.

ix Gini’sInfluence on Today’s Statistics

Corrado Gini was born in , a small town near Treviso. His parents were Luciano Gini and Lavinia Locatelli, who were wealthy land-owning farmers. Gini graduated in Bologna with a law degree in 1905, awarded for a thesis entitled Il sesso dal punto di vista statistico (Sex from a statistical point of view) that was published in 1908. In the same year, he published Sul concetto di probabilità (On the concept of probability) and was awarded his “libero docente” (similar to the habilitation), which gave him the right to lecture in universities. In 1909, he was appointed as a lecturer assisting the Chair of Statistics in the Faculty of Law at the . In the following year, he was appointed as Full Professor of Statistics at Cagliari, and he founded a statistical laboratory there. He took up a similar position at the in 1913. He founded the statistical journal Metron in 1920, which he edited until his death. Gini married Valentina Poggioli in 1921; they had two daughters. It was around this time that fascism gripped Italy. Both Gini and Mussolini were interested in demography, but Gini was interested in the evolution and equilibrium of population whereas Mussolini was interested in controlling population growth. Gini became a professor at the University of Rome in 1925. There, he founded a lecture course on Sociology, which he maintained until his retirement. He also set up the School of Statistics in 1928 and the Faculty of Statistical, Demographic, and Actuarial Sciences in 1936. In 1929, Gini founded the Comitato italiano per lo studio dei problemi della popolazione, which, 2 years later, organized the first Population Congress in Rome. In 1926, Gini was appointed as President of the Central Institute of Statistics in Rome. He resigned in 1931, in protest at interfer- ence in his work by the fascist state. In 1934, Gini founded the journal Genus, which became the official journal of the Italian Committee for the Study of Population Problems. Before World War II, Gini received numerous honors: he became an Honorary Member of the Royal Statistical Society (1920), Vice President of the International Institute of Sociology (1933; he later became president in 1950), President of the

xi xii Gini’sInfluence on Today’s Statistics

Italian Society of Genetics and Eugenics (1934), President of the International Federation of the Society of Eugenics of the Latin language countries (1935), President of the Italian Society of Sociology (1937), Honorary Member of the ISI (1939), and President of the Italian Statistical Society (1941–1944). In 1943, Mussolini resigned and the Fascist party in Italy was dissolved. Gini’s position was not an easy one - he had been close to Mussolini but he had also shown his opposition to racist policies. During the summer of 1944, Gini was investigated for his role in the wartime regime. He had to leave teaching and his positions as Dean of the Faculty of Statistical Sciences and President of the Italian Statistical Society. In 1945, Gini was suspended from all academic duties and his salary was not paid for 1 year. In 1946, he resumed his duties at the Faculty and in 1949 again became President of the Italian Statistical Society, a position he held until his death. After this experience, his departure from politics was almost complete, and the last 20 years of his life were mainly devoted to his studies. In 1955, he was nominated as Professor Emeritus. In 1962, he became a national member of the . Corrado Gini passed away in the early morning of March 13, 1965. Gini’s main goal was the development of the theory of statistics and its appli- cations to real contexts, without forgetting the connections of statistics with probability and its fundamental principles. Gini was a great collector of data, and he directed several scientific expeditions studying the demographic and medical pro- files of populations in many countries. His most widely known contribution is the Gini coefficient, a measure of the inequality of distribution of wealth (or any other variable). In the paper The Dangers of Statistics, Gini attacked Fisher’s fiduciary methods and the Neyman–Pearson theory of hypothesis testing. In this, he took a somewhat Bayesian line, arguing for the importance of prior probabilities in judging the measures of a sample. Gini’s view of probability was limited, being related more to the traditional ideas of classical authors, such as Bernoulli, Laplace, and Pearson, than to the neo-Bayesian approach introduced by de Finetti. Actually, he personally knew de Finetti, and they also collaborated at the Italian National Institute of Statistics, but Gini did not really pay attention to his innovative idea of probability. We can conclude that 53 years after his death, it is still possible to appreciate his contribution to ISTAT’s organization and the reorganization of public statistics as well as his scientific work, which has made the Italian school competitive at the international level and has given momentum to the methodological progress of statistics. Today, we can still appreciate Gini’s heritage in terms of both the sci- entific content that he proposed and his vast work for institutional renovation.

Corrado Crocetta Gini’sInfluence on Today’s Statistics xiii

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