„Researchers and teachers in econometrics and actuarial statisticswill find this book an interesting source of information.“(Journal of the American Statistical Association, December2004)
„The overall quality of the book is excellent. The material iswell-written and well laid out... an indispensable, authoritative source of information...“ (Zentralblatt MATHDatabase)
„... an indispensable, authoritative source ofinformation on a remarkably diverse variety of parametric modelsfor applied statisticians and researchers...“(Zentralblatt Math, Vol.1044, No.19, 2004)
„As a reference book, it is exceptionally well done, as are allof the projects undertaken by Prof. Kotz... The statisticsprofession has been greatly enriched by this particular effort.“(Technometrics, November 2004)
"... the authors have gone a long way towards achieving theirideal that 'a useful book on this subject matter should beinteresting.„ (Short Book Reviews, August 2004)
“... traces the numerous statistical models of incomedistribution for Pareto's model in the late 19th century tothe latest ones." (Quarterly of Applied Mathematics, Vol. LXII, No. 1, March 2004)
Statistical Size Distributions in Economics and Actuarial Sciences
von Christian Kleiber und Samuel KotzIn the course of the past 100 years, economists and appliedstatisticians have developed a remarkably diverse variety of incomedistribution models, yet no single resource convincingly accountsfor all of these models, analyzing their strengths and weaknesses, similarities and differences. Statistical Size Distributions inEconomics and Actuarial Sciences is the first collection tosystematically investigate a wide variety of parametric models thatdeal 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 canresult in unnecessary duplication. Considering models from eightlanguages and all continents, the authors discuss the social andeconomic implications of each as well as distributions of size ofloss in actuarial applications. Specific models coveredinclude:
* Pareto distributions
* Lognormal distributions
* Gamma-type size distributions
* Beta-type size distributions
* Miscellaneous size distributions
Three appendices provide brief biographies of some of theleading players along with the basic properties of each of thedistributions. Actuaries, economists, market researchers, socialscientists, and physicists interested in econophysics will findStatistical Size Distributions in Economics and Actuarial Sciencesto be a truly one-of-a-kind addition to the professionalliterature.
