04960nam 22007094a 450 991014319040332120170815113624.01-280-36604-497866103660400-470-24806-80-471-45716-70-471-45717-5(CKB)111087027109006(EBL)163253(OCoLC)53121718(SSID)ssj0000251141(PQKBManifestationID)11238820(PQKBTitleCode)TC0000251141(PQKBWorkID)10249317(PQKB)10326965(MiAaPQ)EBC163253(EXLCZ)9911108702710900620030110d2003 uy 0engur|n|---|||||txtccrStatistical size distributions in economics and actuarial sciences[electronic resource] /Christian Kleiber, Samuel KotzHoboken, NJ Wiley20031 online resource (354 p.)Wiley series in probability and statisticsDescription based upon print version of record.0-471-15064-9 Includes bibliographical references and index.Statistical Size Distributions in Economics and Actuarial Sciences; Contents; Preface; Acknowledgments; 1 Introduction; 1.1 Our Aims; 1.2 Types of Economic Size Distributions; 1.3 Brief History 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 Definition; 3.2 History and Genesis; 3.3 Moments and Other Basic Properties3.4 Characterizations3.5 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 Distributions; 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 Results4.10 Generalized Lognormal Distribution4.11 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 Distributions; 6.4 Fisk (Log-Logistic) and Lomax Distributions; 6.5 (Generalized) Beta Distribution of the First Kind7 Miscellaneous Size Distributions7.1 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 IndexA 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.<pWiley series in probability and statistics.Distribution (Economic theory)Economies of scaleEconomics, MathematicalInsuranceMathematicsElectronic books.Distribution (Economic theory)Economies of scale.Economics, Mathematical.InsuranceMathematics.330.015195339.2/2339.22Kleiber Christian1966-281551Kotz Samuel12052MiAaPQMiAaPQMiAaPQBOOK9910143190403321Statistical size distributions in economics and actuarial sciences673992UNINA