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Statistical size distributions in economics and actuarial sciences
Publisher
John Wiley
Place of Publication
New York
ISSN/ISBN
0-471-15064-9 (hbk.)
Series title
Wiley series in probability and mathematical statistics
Keywords
Statistical distributions, size distributions, income distribution, loss distribution, actuarial science
Abstract
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.