Christian Kleiber, Samuel Kotz

Statistical Size Distributions in Economics and Actuarial Sciences

• Gebundenes Buch

Produktbeschreibung

With the growth of such fields as financial economics, so has the need for a thorough discussion of statistical size distributions. This volume studies the distributional and statistical properties (including characterizations, estimation of parameters, testing hypotheses, and stochastic order operations) of a multitude of distributions which are utilized as models of size and income in economics and actuarial sciences. Paying attention to some often-neglected, less-known distributions, the text offers an abundance of real-world data and interweaves a useful detailed historical survey of the subject.

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Providing insight into a field of study that is now gaining global importance, this comprehensive treatment of statistical size distributions:
_ Describes in-full more than 25 models
_ Covers Lorenz curves, multimodal, and multivariate distributions
_ Pays specific attention to Italian, and to some degree Japanese sources
_ Emphasizes interrelations among various families
_ Accounts for more than 200 personal papers, theses, and technical reports by the authors, representing over 40 combined years of study and research
_ Opens a formerly European field to the global market

Produktdetails

• Wiley Series in Probability and Statistics
• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 352
• Erscheinungstermin: 11. August 2003
• Englisch
• Abmessung: 240mm x 161mm x 24mm
• Gewicht: 615g
• ISBN-13: 9780471150640
• ISBN-10: 0471150649
• Artikelnr.: 11454277

Autorenporträt

CHRISTIAN KLEIBER, PhD, is assistant professor in the Department of Statistics at the University of Dortmund in Germany. SAMUEL KOTZ, PhD, honorary Doctor of Science, is professor and research scholar at the Department of Engineering Management and Systems Engineering at George Washington University in Washington, D.C.

Inhaltsangabe

Preface. Acknowledgments. 1. Introduction. 1.1 Our Aims. 1.2 Types of
Economic Size Distributions. 1.3 A Brief Historical Sketch of the Models
for Studying Economic Size Distributions. 1.4 Stochastic Process Models for
Size Distributions. 2. General Principles. 2.1 Some Concepts from
Economics. 2.2 Hazard Rates, Mean Excess Functions, and Tailweight. 2.3
Systems of Distributions. 2.4 Generating Systems of Income Distributions.
3. Pareto Distributions. 3.1 Definitions. 3.2 History and Genesis. 3.3
Moments and Other Basic Properties. 3.4 Characterizations. 3.5 Lorenz Curve
and Inequality Measures. 3.6 Estimation. 3.7 Empirical Results. 3.8 Stoppa
Distributions. 3.9 Conic Distribution. 3.10 A "log-adjusted" Pareto
Distribution. 3.11 Stable Distributions. 3.12 Further Pareto-type
Distributions. 4. Lognormal Distribution. 4.1 Definition. 4.2 History and
Genesis. 4.3 Moments and Other Basic Properties. 4.4 Characterizations. 4.5
Lorenz Curve and Inequality Measures. 4.6 Estimation. 4.7 Three-and
four-parameter Lognormal Distributions. 4.8 Multivariate Lognormal
Distribution. 4.9 Empirical Results. 4.10 Generalized Lognormal
Distribution. 4.11 An Asymmetric Log-Laplace Distribution. 4.12 Related
Distributions. 5. Gamma-type Size Distributions. 5.1 Generalized Gamma
Distribution. 5.2 Gamma Distribution. 5.3 Log-gamma Distribution. 5.4
Inverse Gamma (Vinci) Distribution. 5.5 Weibull Distribution. 5.6
Log-Gompertz Distribution. 6. Beta-type Size Distributions. 6.1
(Generalized) Beta Distribution of the Second Kind. 6.2 Singh-Maddala
Distribution. 6.3 Dagum Distribution. 6.4 Fisk (log-logistic) and Lomax
Distributions. 6.5 (Generalized) Beta Distribution of the First Kind. 7.
Miscellaneous Size Distributions. 7.1 Benini Distribution. 7.2 Davis
Distribution. 7.3 Champernowne Distribution. 7.4 Benktander Distributions.
Appendix A. Biographies. A.1 Vilfredo Federico Domaso Pareto, Marchese di
Parigi. A.2 Rodolfo Benini. A.3 Max Otto Lorenz. A.4 Corrado Gini. A.5
Luigi Amoroso. A.6 Raffaele D'Addario. A.7 Robert Pierre Louis Gibrat. A.8
David Gawen Champernowne. Appendix B. Data on Size Distributions. Appendix
C. Size Distributions. List of Symbols. References. Author Index. Subject
Index.