LEADER 04960nam 22007094a 450 001 9910143190403321 005 20170815113624.0 010 $a1-280-36604-4 010 $a9786610366040 010 $a0-470-24806-8 010 $a0-471-45716-7 010 $a0-471-45717-5 035 $a(CKB)111087027109006 035 $a(EBL)163253 035 $a(OCoLC)53121718 035 $a(SSID)ssj0000251141 035 $a(PQKBManifestationID)11238820 035 $a(PQKBTitleCode)TC0000251141 035 $a(PQKBWorkID)10249317 035 $a(PQKB)10326965 035 $a(MiAaPQ)EBC163253 035 $a(EXLCZ)99111087027109006 100 $a20030110d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStatistical size distributions in economics and actuarial sciences$b[electronic resource] /$fChristian Kleiber, Samuel Kotz 210 $aHoboken, NJ $cWiley$d2003 215 $a1 online resource (354 p.) 225 1 $aWiley series in probability and statistics 300 $aDescription based upon print version of record. 311 $a0-471-15064-9 320 $aIncludes bibliographical references and index. 327 $aStatistical 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 Properties 327 $a3.4 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 Results 327 $a4.10 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 Kind 327 $a7 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 Index 330 $aA 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.