Statistical Size Distributions in Economics and Actuarial Sciences

Statistical Size Distributions in Economics and Actuarial Sciences

Author: Christian Kleiber

Publisher: John Wiley & Sons

Published: 2003-10-24

Total Pages: 354

ISBN-13: 0471457167

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A comprehensive account of economic size distributions around the world and throughout the years In the course of the past 100 years, economists and applied statisticians have developed a remarkably diverse variety of income distribution models, yet no single resource convincingly accounts for all of these models, analyzing their strengths and weaknesses, similarities and differences. Statistical Size Distributions in Economics and Actuarial Sciences is the first collection to systematically investigate a wide variety of parametric models that deal with income, wealth, and related notions. Christian Kleiber and Samuel Kotz survey, compliment, compare, and unify all of the disparate models of income distribution, highlighting at times a lack of coordination between them that can result in unnecessary duplication. Considering models from eight languages and all continents, the authors discuss the social and economic implications of each as well as distributions of size of loss in actuarial applications. Specific models covered include: Pareto distributions Lognormal distributions Gamma-type size distributions Beta-type size distributions Miscellaneous size distributions Three appendices provide brief biographies of some of the leading players along with the basic properties of each of the distributions. Actuaries, economists, market researchers, social scientists, and physicists interested in econophysics will find Statistical Size Distributions in Economics and Actuarial Sciences to be a truly one-of-a-kind addition to the professional literature.


Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

Author: Barry C. Arnold

Publisher: Springer

Published: 2018-07-27

Total Pages: 283

ISBN-13: 3319937731

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This book was written to serve as a graduate-level textbook for special topics classes in mathematics, statistics, and economics, to introduce these topics to other researchers, and for use in short courses. It is an introduction to the theory of majorization and related notions, and contains detailed material on economic applications of majorization and the Lorenz order, investigating the theoretical aspects of these two interrelated orderings. Revising and expanding on an earlier monograph, Majorization and the Lorenz Order: A Brief Introduction, the authors provide a straightforward development and explanation of majorization concepts, addressing historical development of the topics, and providing up-to-date coverage of families of Lorenz curves. The exposition of multivariate Lorenz orderings sets it apart from existing treatments of these topics. Mathematicians, theoretical statisticians, economists, and other social scientists who already recognize the utility of the Lorenz order in income inequality contexts and arenas will find the book useful for its sound development of relevant concepts rigorously linked to both the majorization literature and the even more extensive body of research on economic applications. Barry C. Arnold, PhD, is Distinguished Professor in the Statistics Department at the University of California, Riverside. He is a Fellow of the American Statistical Society, the American Association for the Advancement of Science, and the Institute of Mathematical Statistics, and is an elected member of the International Statistical Institute. He is the author of more than two hundred publications and eight books. José María Sarabia, PhD, is Professor of Statistics and Quantitative Methods in Business and Economics in the Department of Economics at the University of Cantabria, Spain. He is author of more than one hundred and fifty publications and ten books and is an associate editor of several journals including TEST, Communications in Statistics, and Journal of Statistical Distributions and Applications.


Economic Well-Being and Inequality

Economic Well-Being and Inequality

Author: John A. Bishop

Publisher: Emerald Group Publishing

Published: 2014-09-29

Total Pages: 520

ISBN-13: 1783505567

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Research on Economic Inequality, Volume 22 collects papers from the Fifth ECINEQ Meeting, bringing together research from both senior and emerging scholars in the field of income distribution and poverty studies. The Volume is rounded out with investigations into the inequality of leisure time, regional convergence, and specific country studies.


Modeling Income Distributions and Lorenz Curves

Modeling Income Distributions and Lorenz Curves

Author: Duangkamon Chotikapanich

Publisher: Springer Science & Business Media

Published: 2008-09-16

Total Pages: 322

ISBN-13: 0387727965

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Jean-Jacques Rousseau wrote in the Preface to his famous Discourse on Inequality that “I consider the subject of the following discourse as one of the most interesting questions philosophy can propose, and unhappily for us, one of the most thorny that philosophers can have to solve. For how shall we know the source of inequality between men, if we do not begin by knowing mankind?” (Rousseau, 1754). This citation of Rousseau appears in an article in Spanish where Dagum (2001), in the memory of whom this book is published, also cites Socrates who said that the only useful knowledge is that which makes us better and Seneca who wrote that knowing what a straight line is, is not important if we do not know what rectitude is. These references are indeed a good illustration of Dagum’s vast knowledge, which was clearly not limited to the ?eld of Economics. For Camilo the ?rst part of Rousseau’s citation certainly justi?ed his interest in the ?eld of inequality which was at the centre of his scienti?c preoccupations. It should however be stressed that for Camilo the second part of the citation represented a “solid argument in favor of giving macroeconomic foundations to microeconomic behavior” (Dagum, 2001). More precisely, “individualism and methodological holism complete each other in contributing to the explanation of individual and social behavior” (Dagum, 2001).


Proceedings of 2014 1st International Conference on Industrial Economics and Industrial Security

Proceedings of 2014 1st International Conference on Industrial Economics and Industrial Security

Author: Menggang Li

Publisher: Springer

Published: 2015-03-03

Total Pages: 524

ISBN-13: 3662440857

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This book collects 88 papers on the latest fundamental advances in the state of the art and practice of industrial economics and industrial security theories and practices, providing insights to address problems concerning the national economy, social development and economic security. The book is divided into four main sections: Industrial Economics; Industrial Security; Empirical Studies; and others, all of which cover different aspects, such as industrial organization, industrial structure, industrial development, industrial distribution and industrial policies, as well as theories on industrial security in globalization. It also covers four special sessions: Cultural Industry; National Economy; Finance Groups; and International Economics and Trade. The papers in each section describe state-of-art research works that are often oriented towards real-world applications and highlight the benefits of related methods and techniques for developing the emerging field of Industrial Economics and Industrial Security.


Advances on Income Inequality and Concentration Measures

Advances on Income Inequality and Concentration Measures

Author: Gianni Betti

Publisher: Routledge

Published: 2008-04-24

Total Pages: 473

ISBN-13: 113406800X

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This impressive collection from some of today‘s leading distributional analysts provides an overview a wide range of economic, statistical and sociological relationships that have been opened up for scientific study by the work of two turn-of-the-20th-century economists: C. Gini and M. O. Lorenz. The authors include such figues as Barry A


Applied Statistics in Social Sciences

Applied Statistics in Social Sciences

Author: Emilio Gómez-Déniz

Publisher: CRC Press

Published: 2022-11-17

Total Pages: 183

ISBN-13: 1000790312

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This work is a detailed description of different discrete and continuous univariate and multivariate distributions with applications in economics, different financial problems, and other scenarios in which these recently developed statistical models have been applied in recent years. They include actuarial statistics, stochastic frontier analysis, duration models, population geography, income and wealth distribution, physical economics and tourism, among others. Each distribution is dealt with in a separate chapter, along with descriptions of all possible applications. The authors also provide a detailed analysis of the proposed probabilistic families, discussing their relationship with existing models, statistical properties, analyzing their strengths and weaknesses, similarities and differences, different estimation methods, along with comments on possible applications and extensions. Simulation methods are given for most of the models presented. Many of the probabilistic models shown, together with their applications in the fields mentioned above, are a result of numerous research articles published by the authors and other researchers, mainly based on classical formulations, which have been the foundations of more general models. This volume contains an extensive updated bibliography from journals and books on statistics, mathematics, economics, actuarial sciences and computer science. This book is an essential manual for researchers, professionals and, in general, for graduate students in computer science, engineering, bioinformatics, statistics and mathematics since the concise writing style makes the book accessible to a broad audience.


Econophysics & Economics of Games, Social Choices and Quantitative Techniques

Econophysics & Economics of Games, Social Choices and Quantitative Techniques

Author: Banasri Basu

Publisher: Springer Science & Business Media

Published: 2010-06-01

Total Pages: 394

ISBN-13: 8847015014

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The combined efforts of the Physicists and the Economists in recent years in analyzing and modelling various dynamic phenomena in monetary and social systems have led to encouraging developments, generally classified under the title of Econophysics. These developments share a common ambition with the already established field of Quantitative Economics. This volume intends to offer the reader a glimpse of these two parallel initiatives by collecting review papers written by well-known experts in the respective research frontiers in one cover. This massive book presents a unique combination of research papers contributed almost equally by Physicists and Economists. Additional contributions from Computer Scientists and Mathematicians are also included in this volume. The book consists of two parts: the first part concentrates on Econophysics problems and the second part stresses on various quantitative issues in Economics. Both parts specialize on frontier problems in Games and Social Choices.


Measuring Inequality

Measuring Inequality

Author: Frank Cowell

Publisher: OUP Oxford

Published: 2011-01-27

Total Pages: 256

ISBN-13: 0191625124

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What do we mean by inequality comparisons? If the rich just get richer and the poor get poorer, the answer might seem easy. But what if the income distribution changes in a complicated way? Can we use mathematical or statistical techniques to simplify the comparison problem in a way that has economic meaning? What does it mean to measure inequality? Is it similar to National Income? Or a price index? Is it enough just to work out the Gini coefficient? Measuring Inequality tackles these questions and examines the underlying principles of inequality measurement and its relation to welfare economics, distributional analysis, and information theory. The book covers modern theoretical developments in inequality analysis, as well as showing how the way we think about inequality today has been shaped by classic contributions in economics and related disciplines. Formal results and detailed literature discussion are provided in two appendices. The principal points are illustrated in the main text, using examples from US and UK data, as well as other data sources, and associated web materials provide hands-on learning. Measuring Inequality is designed to appeal to both undergraduate and post-graduate students, and academic economists. Its emphasis on practical application means that it will also be useful to policy analysts and advisors.