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Statistical Size Distributions in Economics and Actuarial Sciences (Wiley Series in Probability and Statistics)
 
 
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Statistical Size Distributions in Economics and Actuarial Sciences (Wiley Series in Probability and Statistics) [Hardcover]

Christian Kleiber (Author), Samuel Kotz (Author)

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Book Description

August 11, 2003 0471150649 978-0471150640 1
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.



Editorial Reviews

Review

"Researchers and teachers in econometrics and actuarial statistics will find this book an interesting source of information." (Journal of the American Statistical Association, December 2004)

"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)

From the Back Cover

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.


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Inside This Book (learn more)
First Sentence:
This book is devoted to the parametric statistical distributions of economic size phenomena of various types-a subject that has been explored in both statistical and economic literature for over 100 years since the publication of V. Pareto's famous breakthrough volume Cours d'economie politique in 1897. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalized lognormal distribution, economic size distributions, curva dei redditi, mean excess function, optimal class boundaries, fire loss amount, associated inequality measures, generalized gamma distribution, generalized normal distribution, distribuzione dei redditi, generalized beta distribution, income distribution models, inverse exponential distribution, conic distributions, generalized logistic distribution, size phenomena, actuarial literature, income distribution functions, exponential power distribution, power function distribution, actuarial applications, inverse gamma distribution, quantile function, actuarial losses, fit the lognormal distribution
Key Phrases - Capitalized Phrases (CAPs): (learn more)
United States, John Wiley, Japanese Income Redistribution Survey, Statistical Size Distributions, Current Population Survey, Bresciani Turroni, March Supplement, Vilfredo Pareto, Monte Carlo
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