Download or read book A Symmetric Information theoretic Index for the Measurement of Inequality written by Nicholas Rohde and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The application of information theory to the measurement of income inequality has yielded an impressive array of measurement techniques known as Generalized Entropy (GE) measures. Special cases of this class of index include Theil's T and L measures which are considered axiomatically superior to other types of metrics including the popular Gini coefficient. In this paper we show that the parallel between information theory and inequality measurement has not yet been fully explored and propose a new inequality measure based upon this concept. The proposed measure is already established as a tool for use in statistical classification and signal processing problems and is known in these fields as the J-Divergence or Symmetric Kullback-Leibler Divergence. As an inequality metric the measure is shown to be axiomatically complete and is in possession of an additional property allowing for an alternate type of decomposition analysis. The new type of decomposition makes the contribution of any individual or subgroup to the inequality metric directly observable such that the overall index may be reconciled with a weighted sum of each group contribution. We illustrate with an example using income micro-data from the United States where we evaluate the contributions of various racial groups to overall inequality. We also provide a standard decomposition of the inequalities between and within the racial groups to contrast the techniques"--Abstract.
Download or read book Measuring Inequality written by Philip B. Coulter and published by Routledge. This book was released on 2019-09-19 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The impetus to write this book grew out of curiosity and frustration. For a research project in which I was involved, I wanted to select an appropriate index to measure inequality, so I searched for a book that comprehensively reviewed the available indexes, identified their operational similarities and differences, and clarified their theoretical undetpinnings. Discovering that no such book existed, I became increasingly frustrated and curious. It became evident that I would have to undertake my own systematic review of the literature, presumably in my own discipline, in order to identify the alternative measures and choose an appropriate one on the basis of proper theoretical and methodological criteria. This effort led to additional frustrating discoveries. First, I encountered a bewildering abundance of inequality indexeswell over ftfty distinguishable measures. Second, my review of the methodological literature on inequality measurement took me through the issues of literally scores of professional journals in five academic disciplines-economics, geography, political science, sociology, and statistics. Third, although I found some cross-disciplinary referencing of inequality measures, by and large each discipline's inequality measurement remained insulated from that of other disciplines.
Download or read book Measuring Inequality written by Frank Cowell and published by Oxford University Press. This book was released on 2011-01-27 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theoretical and practical problems involved in measuring the extent of inequality. The book covers modern theoretical developments in inequality analysis, and shows how the way we think about inequality has been shaped by classic contributions in economics and related disciplines.
Download or read book Measuring Inequality written by Frank Alan Cowell and published by John Wiley & Sons. This book was released on 1977 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Developments in Statistical Information Theory Based on Entropy and Divergence Measures written by Leandro Pardo and published by MDPI. This book was released on 2019-05-20 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new and original research in Statistical Information Theory, based on minimum divergence estimators and test statistics, from a theoretical and applied point of view, for different statistical problems with special emphasis on efficiency and robustness. Divergence statistics, based on maximum likelihood estimators, as well as Wald’s statistics, likelihood ratio statistics and Rao’s score statistics, share several optimum asymptotic properties, but are highly non-robust in cases of model misspecification under the presence of outlying observations. It is well-known that a small deviation from the underlying assumptions on the model can have drastic effect on the performance of these classical tests. Specifically, this book presents a robust version of the classical Wald statistical test, for testing simple and composite null hypotheses for general parametric models, based on minimum divergence estimators.
Download or read book Handbook of Income Inequality Measurement written by Jacques Silber and published by Springer Science & Business Media. This book was released on 1999-08-31 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Inequality Issues And Indices written by Pramod Kumar Chaubey and published by Kanishka Publishers. This book was released on 2004 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Deals With The Matter Of Measurement In A Systematic And Gradual Manner. Students, Researchers And Teachers Would Alike Find It Immensely Useful.
Download or read book The Oxford Handbook of Economic Inequality written by Wiemer Salverda and published by Oxford University Press. This book was released on 2009-02-19 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive analysis of economic inequality in developed countries. The contributors give their view on the state-of-the-art scientific research in their fields and add their own visions of future research.
Download or read book Income Inequality and Poverty written by Nanak Kakwani and published by New York : Published for the World Bank [by] Oxford University Press. This book was released on 1980 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a closed economy, income is created in production with the aid of factors such as land, labor, capital, and entrepreneurship. Production takes place within different firms and government organizations, and, at the same time, income is created and distributed to income units. From this process, a pattern of distribution emerges that has been found to be stable over time and space. This feature of income distribution has provoked a number of alternative theories explaining the generation of income. The present study focuses on the following issues: (a) income distribution functions, (b) measurement of the degree of income inequality, (c) government policies affecting personal distribution of income, and (d) measurement of poverty.
Download or read book Assessing Inequality written by Lingxin Hao and published by SAGE Publications. This book was released on 2010-05-26 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elements of Information Theory written by Thomas M. Cover and published by John Wiley & Sons. This book was released on 2012-11-28 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.
Download or read book Inequality of Opportunity written by Juan Gabriel Rodríguez and published by Emerald Group Publishing. This book was released on 2011-10-12 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eight papers, both theoretical and applied, on the concept of equality of opportunity which says that a society should guarantee its members equal access to advantage regardless of their circumstances, while holding them responsible for turning that access into actual advantage by the application of effort.
Download or read book Concentration Inequalities written by Stéphane Boucheron and published by Oxford University Press. This book was released on 2013-02-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented.
Download or read book Information Theory Inference and Learning Algorithms written by David J. C. MacKay and published by Cambridge University Press. This book was released on 2003-09-25 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information theory and inference, taught together in this exciting textbook, lie at the heart of many important areas of modern technology - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics and cryptography. The book introduces theory in tandem with applications. Information theory is taught alongside practical communication systems such as arithmetic coding for data compression and sparse-graph codes for error-correction. Inference techniques, including message-passing algorithms, Monte Carlo methods and variational approximations, are developed alongside applications to clustering, convolutional codes, independent component analysis, and neural networks. Uniquely, the book covers state-of-the-art error-correcting codes, including low-density-parity-check codes, turbo codes, and digital fountain codes - the twenty-first-century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, the book is ideal for self-learning, and for undergraduate or graduate courses. It also provides an unparalleled entry point for professionals in areas as diverse as computational biology, financial engineering and machine learning.
Download or read book Economics and Information Theory written by Henri Theil and published by . This book was released on 1967 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical study of the methodology of information forecasting in applied economics - covers statistical methods, research methods, etc. Bibliography pp. 423 to 427.
Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Download or read book Quantum Information Theory written by Mark M. Wilde and published by Cambridge University Press. This book was released on 2013-04-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also covers important recent developments such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. This book will be warmly welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.
