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Kleiber, C. and Kolz, S. (2003)Statistical Size Distributions in Economics and Actuarial Sciences

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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 distrbutions, Gamma-type size distributions, Beta-type size distributions, Miscellaneous size distributions."


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