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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).
Amartya Sen "Equality," I spoke the word As if a wedding vow Ah, but I was so much older then, I am younger than that now. Thus sang Bob Dylan in 1964. Approbation of equality varies not only with our age (though it is not absolutely clear in which direction the values may shift over one's life time), but also with the spirit of the times. The 1960s were good years for singing in praise of equality. The spirit of the present times would probably be better reflected by melodies in admiration of the Federal Reserve System. And yet the technical literature on the evaluation and measurement of economic inequality has grown remarkably over the last three decades. Even as actual economic policies (especially in North America and Europe) have tended to move towards focusing on virtues other than the avoidance of economic inequality, the professional literature on assessing and gauging economic inequality has taken quite a jump forward. A great many different problems have been addressed and effectively sorted out, and new problems continue to be posed and analyzed. The Contents: A Review Jacques Silber has done a great service to the subject by producing this collection of admirablyhelpful and illuminating papers on different aspects of the measurement of income inequality. The reach of this collection is quite remarkable. Along with a thorough overview from the editor himself, the major areas in this complex field have been carefully examined and accessibly discussed.
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.
Economy, Society, and Public Policy is a new way to learn economics. It is designed specifically for students studying social sciences, public policy, business studies, engineering and other disciplines who want to understand how the economy works and how it can be made to work better. Topical policy problems are used to motivate learning of key concepts and methods of economics. It engages, challenges and empowers students, and will provide them with the tools to articulate reasoned views on pressing policy problems. This project is the result of a worldwide collaboration between researchers, educators, and students who are committed to bringing the socially relevant insights of economics to a broader audience.KEY FEATURESESPP does not teach microeconomics as a body of knowledge separate from macroeconomicsStudents begin their study of economics by understanding that the economy is situated within society and the biosphereStudents study problems of identifying causation, not just correlation, through the use of natural experiments, lab experiments, and other quantitative methodsSocial interactions, modelled using simple game theory, and incomplete information, modelled using a series of principal-agent problems, are introduced from the beginning. As a result, phenomena studied by the other social sciences such as social norms and the exercise of power play a roleThe insights of diverse schools of thought, from Marx and the classical economists to Hayek and Schumpeter, play an integral part in the bookThe way economists think about public policy is central to ESPP. This is introduced in Units 2 and 3, rather than later in the course.
The first monograph in econophysics focussed on the analyses and modelling of these distributions, ideal for physicists and economists.
Deals with income distribution methods and their economic applications.
Gini's mean difference (GMD) was first introduced by Corrado Gini in 1912 as an alternative measure of variability. GMD and the parameters which are derived from it (such as the Gini coefficient or the concentration ratio) have been in use in the area of income distribution for almost a century. In practice, the use of GMD as a measure of variability is justified whenever the investigator is not ready to impose, without questioning, the convenient world of normality. This makes the GMD of critical importance in the complex research of statisticians, economists, econometricians, and policy makers. This book focuses on imitating analyses that are based on variance by replacing variance with the GMD and its variants. In this way, the text showcases how almost everything that can be done with the variance as a measure of variability, can be replicated by using Gini. Beyond this, there are marked benefits to utilizing Gini as opposed to other methods. One of the advantages of using Gini methodology is that it provides a unified system that enables the user to learn about various aspects of the underlying distribution. It also provides a systematic method and a unified terminology. Using Gini methodology can reduce the risk of imposing assumptions that are not supported by the data on the model. With these benefits in mind the text uses the covariance-based approach, though applications to other approaches are mentioned as well.
Accompanying the book, as with all TELOS sponsored publications, is an electronic component. In this case it is a DOS-Diskette produced by one of the coauthors, Paul Wellin. This diskette consists of Mathematica notebooks and packages which contain the codes for all examples and exercises in the book, as well as additional materials intended to extend many ideas covered in the text. It is of great value to teachers, students, and others using this book to learn how to effectively program with Mathematica .
This book answers a number of important questions about the distribution of wealth among people and the way that this distribution has changed over time. It provides a comprehensive analysis of the personal distribution of wealth from many dimensions: economic, statistical, ethical, political, sociological and legal. Using data from 21 countries, this book demonstrates how inequality in the distribution of wealth varies between different parts of the world and how it evolves, with particular emphasis on the claim that there has been a long-term and continued increase in inequality since the 1970s in most countries. It discusses alternative ways of measuring the degree of inequality, analyses Thomas Piketty's claim that society has become more unequal in recent decades, and assesses the relative importance of the various determinants of the distribution of wealth. The authors explain why the distribution of wealth is unequal, and discuss how it could be changed with alternative policies and the possible consequences of these policies for economic efficiency. The authors also compare the different distributions of wealth that are implied by alternative views of society. This is a valuable resource for students and academics in economics, political science and sociology seeking a state-of-the-art account of the theory and evidence surrounding inequality in the distribution of wealth.
Providing basic foundations for measuring inequality from the perspective of distributional properties This monograpg reviews a set of widely used summary inequality measures, and the lesser known relative distribution method provides the basic rationale behind each measure and discusses their interconnections. It also introduces model-based decomposition of inequality over time using quantile regression. This approach enables researchers to estimate two different contributions to changes in inequality between two time points. Key Features Clear statistical explanations provide fundamental statistical basis for understanding the new modeling framework Straightforward empirical examples reinforce statistical knowledge and ready-to-use procedures Multiple approaches to assessing inequality are introduced by starting with the basic distributional property and providing connections among approaches This supplementary text is appropriate for any graduate-level, intermediate, or advanced statistics course across the social and behavioral sciences, as well as individual researchers.