On Generalized Pareto Distributions with Applications to Income Data

On Generalized Pareto Distributions with Applications to Income Data
Title On Generalized Pareto Distributions with Applications to Income Data PDF eBook
Author Barry C. Arnold
Publisher
Pages 56
Release 1977
Genre Income distribution
ISBN

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Modeling Income Distributions and Lorenz Curves

Modeling Income Distributions and Lorenz Curves
Title Modeling Income Distributions and Lorenz Curves PDF eBook
Author Duangkamon Chotikapanich
Publisher Springer Science & Business Media
Pages 322
Release 2008-09-16
Genre Business & Economics
ISBN 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).

Pareto Distributions

Pareto Distributions
Title Pareto Distributions PDF eBook
Author Barry C. Arnold
Publisher CRC Press
Pages 456
Release 2020-12-18
Genre
ISBN 9780367738471

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Since the publication of the first edition over 30 years ago, the literature related to Pareto distributions has flourished to encompass computer-based inference methods. Pareto Distributions, Second Edition provides broad, up-to-date coverage of the Pareto model and its extensions. This edition expands several chapters to accommodate recent results and reflect the increased use of more computer-intensive inference procedures. New to the Second Edition New material on multivariate inequality Recent ways of handling the problems of inference for Pareto models and their generalizations and extensions New discussions of bivariate and multivariate income and survival models This book continues to provide researchers with a useful resource for understanding the statistical aspects of Pareto and Pareto-like distributions. It covers income models and properties of Pareto distributions, measures of inequality for studying income distributions, inference procedures for Pareto distributions, and various multivariate Pareto distributions existing in the literature.

Econophysics of Wealth Distributions

Econophysics of Wealth Distributions
Title Econophysics of Wealth Distributions PDF eBook
Author Arnab Chatterjee
Publisher Springer Science & Business Media
Pages 251
Release 2007-06-25
Genre Business & Economics
ISBN 884700389X

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We all know the hard fact: neither wealth nor income is ever uniform for us all. Justified or not, they are unevenly distributed; few are rich and many are poor! Investigations for more than hundred years and the recent availability of the income distribution data in the internet (made available by the finance ministries of various countries; from the tax return data of the income tax departments) have revealed some remarkable features. Irrespective of many differences in culture, history, language and, to some extent, the economic policies followed in different countries, the income distribution is seen to fol low a particular universal pattern. So does the wealth distribution. Barring an initial rise in population with income (or wealth; for the destitutes), the population decreases either exponentially or in a log-normal way for the ma jority of 'middle income' group, and it eventually decreases following a power law (Pareto law, following Vilfredo Pareto's observation in 1896) for the rich est 5-10 % of the population! This seems to be an universal feature - valid for most of the countries and civilizations; may be in ancient Egypt as well! Econophysicists tried to view this as a natural law for a statistical ma- body-dynamical market system, analogous to gases, liquids or solids: classical or quantum.

Pareto Distributions

Pareto Distributions
Title Pareto Distributions PDF eBook
Author Barry C. Arnold
Publisher CRC Press
Pages 435
Release 2015-03-10
Genre Mathematics
ISBN 1466584858

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Since the publication of the first edition over 30 years ago, the literature related to Pareto distributions has flourished to encompass computer-based inference methods. Pareto Distributions, Second Edition provides broad, up-to-date coverage of the Pareto model and its extensions. This edition expands several chapters to accommodate recent result

Statistical Size Distributions in Economics and Actuarial Sciences

Statistical Size Distributions in Economics and Actuarial Sciences
Title Statistical Size Distributions in Economics and Actuarial Sciences PDF eBook
Author Christian Kleiber
Publisher John Wiley & Sons
Pages 354
Release 2003-10-24
Genre Mathematics
ISBN 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.

Wiley StatsRef

Wiley StatsRef
Title Wiley StatsRef PDF eBook
Author N. Balakrishnan
Publisher
Pages
Release 2014
Genre Statistics
ISBN 9781118445112

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Wiley StatsRef: Statistics Reference Online is a comprehensive online reference resource which covers the fundamentals and applications of statistics in all fields where it is widely used. This is the most inclusive, authoritative, online reference source available in statistics. Wiley StatsRef is aimed at advanced undergraduates, postgraduates, teachers of statistics, and for experienced researchers entering a new part of the field for the first time.