Download or read book Modeling Income Distributions and Lorenz Curves written by Duangkamon Chotikapanich and published by Springer Science & Business Media. This book was released on 2008-09-16 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book Generalized Entropy Measures of Long Run Inequality and Stability Among Male Headed Households written by Sourushe Zandvakili and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Short- and long-run inequalities and income stability among households with male heads are measured and analyzed using the Panel Study of Income Dynamics for 1969-81. The results suggest short-run inequalities are increasing over the period with fluctuations. These fluctuations contain transitory components which can be eliminated by smoothing of the data. Long-run measures are less subject to fluctuations and, therefore, provide a better measure of inequality. They show a decrease in inequality in the early periods but increases after the mid-1970's. Several aggregator functions are used to compute "permanent income" variables for the long-run measures of inequality and stability. The measures are decomposed to reflect differences in age, education, and race. They are decomposed also into groups which are free of such group characteristics. Education has the most important influence on inequality. Stability profiles indicate, furthermore, most of the reduction in inequality in the early periods among households with male heads has been within particular groups. Reductions across groups are minimal.

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 Entropy Measures of Inequality written by Kenneth D. Bailey and published by . This book was released on 1981 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multidimensional Inequality and Multidimensional Generalized Entropy Measures written by Kai Yuen Tsui and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper generalizes the axiomatic approach to the design of income inequality measures to the multiattribute context. While the extension of most axioms considered desirable for inequality indices is straightforward, it is not entirely clear when a situation is more unequal than another when each person is characterised by a vector of attributes of well-being. We explore two majorization criteria which are partial orders ranking distributions of attributes by their degree of inequality. The two criteria are motivated by the Pigou-Dalton Transfer Principle in the unidimensional context and its equivalent formulation. These criteria gauge inequality loosely speaking with respect to the dispersion of the multidimensional distribution of the attributes. They, however, fail to address a different dimension of multivariate inequality pertaining to an increase in the correlation of the attributes. In this connection, this paper introduces a correlation-increasing majorization criterion proposed by Boland and Proschan (1988). Finally, in conjunction with other axioms commonly invoked in the literature on inequality, the majorization criteria lead inexorably to the class of multidimensional generalized entropy measures.

Download or read book Entropy Based European Income Distributions and Inequality Measures written by Sofia Berto Villas-Boas and published by . This book was released on 2018 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, instead of likelihood based methods that are fragile under model uncertainty, we use entropy based methods on time-ordered household income data to recover income distribution information on European countries and obtain income inequality estimates. For information recovery, we use a family of information theoretic entropy based divergence measures to obtain income probability density functions and the corresponding inequality measures, which reflect how European country based behavioral systems are functioning, how the allocation and distribution systems are performing, and in terms of dynamics, how the economic system has changed over time.

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 Entropy Based China Income Distributions and Inequality Measures written by Sofia Berto Villas-Boas and published by . This book was released on 2018 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We use entropy based methods on a sample of household income data from the 2005 Chinese Inter-Census as a basis for summarizing the income data in the form of a probability density function(PDF), and to obtain measures of income inequality. We estimate the income probability density functions using information theoretic entropy based divergence measures and recover the corresponding inequality measures for each of China's provinces. In the entropy criterion-measure we seek a probability density function solution that is as close to a uniform PDF-distribution of income (an equal distribution with the least inequality), as the micro sample data will permit. These entropy measures reflect cross sectional measures of income inequality and reflect how the province level economic behavioral system is functioning and how the allocation and distribution systems is performing. Finally we use a sample of data from the China Family Panel Study to recover an estimate of the income PDF for China in 2016.

Download or read book An Entropy Based Analysis of European Micro Income Distributions and Inequality Measures written by Sofia Villas-Boas and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Concentration of Measure Inequalities in Information Theory Communications and Coding written by Maxim Raginsky and published by . This book was released on 2014 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentration of Measure Inequalities in Information Theory, Communications, and Coding focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding.

Download or read book OECD Regions and Cities at a Glance 2020 written by OECD and published by OECD Publishing. This book was released on 2020-11-30 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regions and Cities at a Glance 2020 provides a comprehensive assessment of how regions and cities across the OECD are progressing towards stronger, more sustainable and more resilient economies and societies. In the light of the health crisis caused by the COVID-19 pandemic, the report analyses outcomes and drivers of social, economic and environmental resilience.

Download or read book A Unified Approach to Measuring Poverty and Inequality written by World Bank and published by World Bank Publications. This book was released on 2013-05-10 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory and practice of poverty measurement. On completing this book you will be able to perform sophisticated analyses of income or consumption distribution for any standard household dataset using the ADePT program (a free download from the World Bank s website).

Download or read book Measuring Income Inequality written by Guglielmo D'Amico and published by . This book was released on 2016 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we use the index we call Population Dynamic Theil's Entropy to analyze as the income inequality varies on time. The index may consider both the inequality among the classes in which we assign the individuals and the inequality within each class. This inequality measure working in a dynamic way allows to forecast inequality in time. Besides it may capture not only changes in the wealth but also changes in the population composition. The earned results are relevant for adopting a social and economic policy of wealth distribution. We fulfilled the model with statistics from the Organization for Economic Cooperation and Development and we applied it to Mexico, Portugal and Spain. We picked up economic data about population, means and medians of the equivalised net income for the three countries. The data refer to years from 2004 to 2011.

Download or read book Measuring Trends in U S Income Inequality written by Hang K. Ryu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the culmination of roughly seven years of joint research be tween us. We have both been interested in income inequality measurement for a considerably longer period of time. One author (Ryu) has a back ground in physics. While he was working on his Ph. D. in Physics at M. I. T. he became acquainted with Robert Solow. Professor Solow introduced Ryu to economics. After finishing his Ph. D. in physics, Ryu went on to the Uni versity of Chicago where Arnold Zellner guided him to a dissertation on using orthonormal basis and maximum entropy as estimation methods in econometric applications. The precise definition and examples of orthonormal basis (ONB) and maximum entropy (ME) methods will be given in the book. As it turns out, a natural application of these methods is the study of income distribution. Professor Zellner suggested that Ryu look at some of my joint work with Robert Basmann on functional forms of Lorenz curves as one starting place to do his own research. Ryu requested some of our data and asked for several of our papers with the express pur pose of introducing functional forms of Lorenz curves that Ryu felt would do a better job of approximating the empirical Lorenz curve. Thus, our first introduction was essentially one of Ryu trying to invent a better mousetrap. The interested reader can review the results given in Basmann et al. (1990) and Chapter Four of this book to see if Ryu succeeded.

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 Entropy Bounds and Isoperimetry written by Serguei Germanovich Bobkov and published by American Mathematical Soc.. This book was released on 2005 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these memoirs Bobkov and Zegarlinski describe interesting developments in infinite dimensional analysis that moved it away from experimental science. Here they also describe Poincar -type inequalities, entropy and Orlicz spaces, LSq and Hardy-type inequalities on the line, probability measures satisfying LSq inequalities on the real line, expo

Download or read book Hands On Meta Learning with Python written by Sudharsan Ravichandiran and published by Packt Publishing Ltd. This book was released on 2018-12-31 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore a diverse set of meta-learning algorithms and techniques to enable human-like cognition for your machine learning models using various Python frameworks Key FeaturesUnderstand the foundations of meta learning algorithmsExplore practical examples to explore various one-shot learning algorithms with its applications in TensorFlowMaster state of the art meta learning algorithms like MAML, reptile, meta SGDBook Description Meta learning is an exciting research trend in machine learning, which enables a model to understand the learning process. Unlike other ML paradigms, with meta learning you can learn from small datasets faster. Hands-On Meta Learning with Python starts by explaining the fundamentals of meta learning and helps you understand the concept of learning to learn. You will delve into various one-shot learning algorithms, like siamese, prototypical, relation and memory-augmented networks by implementing them in TensorFlow and Keras. As you make your way through the book, you will dive into state-of-the-art meta learning algorithms such as MAML, Reptile, and CAML. You will then explore how to learn quickly with Meta-SGD and discover how you can perform unsupervised learning using meta learning with CACTUs. In the concluding chapters, you will work through recent trends in meta learning such as adversarial meta learning, task agnostic meta learning, and meta imitation learning. By the end of this book, you will be familiar with state-of-the-art meta learning algorithms and able to enable human-like cognition for your machine learning models. What you will learnUnderstand the basics of meta learning methods, algorithms, and typesBuild voice and face recognition models using a siamese networkLearn the prototypical network along with its variantsBuild relation networks and matching networks from scratchImplement MAML and Reptile algorithms from scratch in PythonWork through imitation learning and adversarial meta learningExplore task agnostic meta learning and deep meta learningWho this book is for Hands-On Meta Learning with Python is for machine learning enthusiasts, AI researchers, and data scientists who want to explore meta learning as an advanced approach for training machine learning models. Working knowledge of machine learning concepts and Python programming is necessary.