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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:
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.
"The overall quality of the book is excellent. The material is well–written and well laid out an indispensable, authoritative source of information " (Zentralblatt MATH Database)
an indispensable, authoritative source of information on a remarkably diverse variety of parametric models for applied statisticians and researchers (Zentralblatt Math, Vol.1044, No.19, 2004)
"As a reference book, it is exceptionally well done, as are all of the projects undertaken by Prof. Kotz The statistics profession has been greatly enriched by this particular effort." (Technometrics, November 2004)
" the authors have gone a long way towards achieving their ideal that ′a useful book on this subject matter should be interesting. (Short Book Reviews, August 2004)
...traces the numerous statistical models of income distribution for Pareto s model in the late 19th century to the latest ones. (Quarterly of Applied Mathematics, Vol. LXII, No. 1, March 2004)
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