Skip to main content

Generation And Properties Of Income Distribution Functions

  • Conference paper
Income and Wealth Distribution, Inequality and Poverty

Part of the book series: Studies in Contemporary Economics ((CONTEMPORARY))

Abstract

The issues of income and wealth distributions and their associated concepts of economic inequality and social welfare recognizes a long and enlightened tradition to which the Code of Hammurabi, the contributions of Aristotle, St. Thomas Aquinas, J.J. Rousseau and several XlXth Century socialists philosophers and economists belong.

Research grants from the University of Ottowa (Canada) and the Consiglio Naziole delle Ricerche (Italy) to the CRIDIRE (University of Sienna) are gratefully acknowledged.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Allais, M. (1977). L’impot sur le Capital, Paris: Herman, 2nd. edition, 1988.

    Google Scholar 

  • Amoroso, L. (1925). Ricerche Intorno alia Curva dei Redditi. Annali di Matematica Pura ed Applicata, Serie 4–21, II, pp. 123–157.

    Google Scholar 

  • Bartels, C.P.A. (1977). Economic Aspects of Regional Welfare, Leiden, Martinus Nijhoff.

    Book  Google Scholar 

  • Bartels, C.P.A. and Vries, O.M. (1977). Succint Analytical Descriptions of Income Distributions Using Transformation Functions. Economic Appliquee, XXX, 3, pp. 369–390.

    Google Scholar 

  • Basmann, R.L. and Rhodes, G.F. eds. (1985). Advances in Econometrics, Vol. 4: Economic Inequality: Survey, Methods and Measurements, Greenwich, Connecticut, JAI Press.

    Google Scholar 

  • Benini, R. (1906), Principii di Statistica Metodologica, Torino, UTET.

    Google Scholar 

  • Bernouilli, D. (1738). Exposition of a New Theory of the Measurement of Risk. English translation in Econometrica, XXII (1), 1954, pp. 23–26.

    Google Scholar 

  • Box, G.E.P. and Cox, D.R. (1964). An Analysis of Transformation. Journal of the Royal Statistical Society, Serie B, 2, pp. 211–243.

    Google Scholar 

  • Bresciani-Turroni, C. (1910). Di un Indice Misuratore della Disuguaglianza nella Distribuzione della Ricchezza. In Studi in Onore di Biagio Brugi, Palermo, L. Campa, pp. 794–812.

    Google Scholar 

  • Bresciani-Turroni, C. (1939). Pareto’s Law and the Index of Inequality of Income. Econometrica, VII (2), pp. 107–133.

    Article  Google Scholar 

  • Budd, E.C. (1970). Distribution Issues: Trends and Policies. Postwar Changes in the Size Distribution of Income in the U.S.. American Economic Review, 60, 2, pp. 247–260.

    Google Scholar 

  • Cantelli, F.P. (1921). Sulla Deduzione delle Leggi di Frequenza da Considerazioni di Probabilita’. Metron, I (3), pp. 83 - 91.

    Google Scholar 

  • Champernowne, D.G. (1952). The Graduation of Income Distributions. Econometrica, 20, 4, pp. 591–615.

    Article  Google Scholar 

  • Champernowne, D.G. (1953). A Model of Income Distribution. Economic Journal, 53, 2, pp. 318–351.

    Article  Google Scholar 

  • Cramèr, H. (1946). Mathematical Methods of Statistics, Princeton: Princeton University Press. D’Addario, R. (1949). Ricerche sulla Curva dei Redditi. Giornale degli Economisti e Annali di Economia, 8, pp. 91–114.

    Google Scholar 

  • Dagum, C. (1977). A New Model of Personal Income Distribution: Specification and Estimation. Economie Appliquee, XXX, 3, pp. 413–436.

    Google Scholar 

  • Dagum, C. (1980a). Sistemas Generadores de Distribucion del Ingreso y la Ley de Pareto. El Trimestre Economico, XLVII (4), n. 188, pp. 877–917.

    Google Scholar 

  • Dagum, C. (1980b). The Generation and Distribution of Income, the Lorenz Curve and the Gini Ratio. Economie Appliquee, XXIII (2), pp. 327–367.

    Google Scholar 

  • Dagum, C. (1980c). Generating Systems and Properties of Income Distribution Models. Metron, XXVIII (4), pp. 3–26.

    Google Scholar 

  • Dagum, C. (1983). Income Distribution Models. Encyclopedia of Statistical Sciences, IV, S. Kotz and N.L. Johnson, Editors-in- Chief, New York: John Wiley and Sons, pp. 27–34.

    Google Scholar 

  • Dagum, C. (1985). Analyses of Income Distribution and Inequality by Education and Sex in Canada. In Advances in Econometrics, Vol. IV, R.L. Basmann and G.F. Rhodes, Jr., editors, Greenwich, CN: JAI Press, 1985, pp. 167–227.

    Google Scholar 

  • Dagum, C. (1986). Economic Model, System and Structure, Philosophy of Science and Lakatos’ Methodology of Scientific Research Program. Rivista Intemazionale di Science Economiche e Commerciali, XXXIII, pp. 859–886.

    Google Scholar 

  • Dagum, C. (1989). A Model of Wealth Distribution Specified for Negative, Null and Positive Wealth. Proceedings of the International Meeting of Income and Wealth, University of Pavia, in this volume.

    Google Scholar 

  • Dagum, C. and Lemmi, A. (1989). A Contribution to the Analysis of Income Distribution and Income Inequality, and a Case Study: Italy. In Research on Economic Inequality, D.J. Slottje, ed., Greenwich, CN: JAI Press, pp. 123–157.

    Google Scholar 

  • Dalton, H. (1920). The Measurement of Inequality of Incomes. Economic Journal, 30, pp. 348–361.

    Article  Google Scholar 

  • Davis, H.T. (1941). The Analysis of Economic Time Series, Bloomington (Indiana): The Principia Press.

    Google Scholar 

  • Edgeworth, F.Y. (1898). On the Representation of Statistics by Mathematical Formulae. Journal of the Royal Statistical Society, 1, pp. 670–700.

    Google Scholar 

  • Elderton, W.P. and Johnson, N.L. (1969). Systems of Frequency Curves, Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Fattorini, L. and Lemmi, A. (1979). Proposta di un Modello Alternativo per l’Analisi della Distribuzione Personale del Reddito. Atti delle Giomate di Lavoro AIRO (Associazione Italiana di Ricerca Operativa),Bologna, pp. 89–117.

    Google Scholar 

  • Fisk, P.R. (1961). The Graduation of Income Distribution. Econometrica, 29 (2), pp. 171–185.

    Article  Google Scholar 

  • Frèchet, M. (1939). Sur les Formules de Repartition des Revenus. Revue de l’Institut International de Statistique, Vol. 7 (1), pp. 32–38.

    Article  Google Scholar 

  • Gibrat, R. (1931). Les inegalites economiques, Paris: Sirey.

    Google Scholar 

  • Gini, C. (1909). II Diverso Accrescimento delle Classi Sociali e la Concentrazione della Ricchezza. Giornale degli Economisti, Serie II, Vol. XXX VII.

    Google Scholar 

  • Gini, C. (1910). Indici di concentrazione e di dependenza. Atti della III Riunione della Societa’ Italiana per il Progresso delle Scienze, in C. Gini (1955), pp. 3–120.

    Google Scholar 

  • Gini, C. (1912a). I Fattori Demografici dell’Evoluzione delle Nazioni, Torino, Bocca.

    Google Scholar 

  • Gini, C. (1912b). Variabilita’ e Mutabilita’. Studi Economico- giuridico, Universita’ di Cagliari, III (2a), 1912, in C. Gini (1955), pp. 211–382.

    Google Scholar 

  • Gini, C. (1914). Sulla Misura della Concentrazione e della Variabilita’ dei Caratteri. Atti del R. Istituto Veneto di Scienze, Lettere ed Arti, in C. Gini (1955), pp. 411–459.

    Google Scholar 

  • Gini, C. (1930a)., Nascita, Evoluzione e Morte delle Nazioni, Roma, Libreria del Littorio.

    Google Scholar 

  • Gini, C. (1930b). The Future of Human Populations. The American Journal of Sociology, XXXVI (2).

    Google Scholar 

  • Gini, C. (1932). Intorno alle Curve di Concentrazione. Metron, IX, 3–4, in C. Gini (1955), pp. 651–724.

    Google Scholar 

  • Gini, C. (1952). Patologia Economica, Torino, UTET, Fifth edition.

    Google Scholar 

  • Gini, C. (1955). Memorie di Metodologia Statistica, Vol. I: Variabilita’ e Concentrazione, Edizione aggiornata a cura di E. Pizetti e T. Salvemini, Roma, Libreria Eredi Virgilio Veschi.

    Google Scholar 

  • Johnson, N.L. (1949). Systems of Frequency Curves Generated by Methods of Translation. Biometrika, 44, pp. 147–176.

    Google Scholar 

  • Kalecki, M. (1945). On the Gibrat Distribution. Econometrica, 13, pp. 161–170.

    Article  Google Scholar 

  • Kloek, T. and van Dijk, N.K. (1977). Further Results on Efficient Estimation of Income Distribution Parameters. Economic Appliquee, XXX (3), pp. 439–459.

    Google Scholar 

  • Kloek, T. and van Dijk, N.K. (1978). Efficient Estimation of Income Distribution Parameters. Journal of Econometrics, 8, pp. 61–74.

    Article  Google Scholar 

  • Lévy, P. (1925). Calculs des Probabilites, Paris, Gauthier-Villars.

    Google Scholar 

  • Lydall, H. (1968). The Structure of Earnings, Oxford, Oxford University Press.

    Google Scholar 

  • Macaulay, F.R. (1922). The Personal Distribution of Income in the United States. In W.C. Mitchell, ed. (1922), 341–394.

    Google Scholar 

  • Mandelbrot, B. (1960). The Pareto-Lévy Law and the Distribution of Income. International Economic Review, 1, pp. 79–106.

    Article  Google Scholar 

  • Mandelbrot, B. (1963). New Methods in Statistical Economics. Journal of Political Economy, LXXI, 5, pp. 421–440.

    Article  Google Scholar 

  • March, L. (1898). Quelques Exemples de Distribution de Salaires. Journal de la Societe Statistique de Paris, pp. 193–206 and 241–248.

    Google Scholar 

  • McDonald, J.B. (1984). Some Generalized Functions for the Size Distribution of Income. Econometrica, 52, 3, pp. 647–663.

    Article  Google Scholar 

  • McDonald, J. and Ransom, M.R. (1979). Functional Forms, Estimation Techniques and the Distribution of Income. Econometrica, 47 (6), pp. 1513–1525.

    Article  Google Scholar 

  • Metcalf, E. Ch. (1972). An Econometric Model of the Income Distribution, Chicago, Markham Publishing Company.

    Google Scholar 

  • Mitchell, W.C., ed. (1922). Income in the United States: Its Amount and Distribution, 1909–1919, New York, National Bureau of Economic Research.

    Google Scholar 

  • Ord, J.K. (1975). Statistical Models for Personal Income Distributions. In G.P. Patil, S. Kotz and J.K. Ord, editors.

    Google Scholar 

  • Pareto, V. (1895). La legge della domanda. Giornale degli Economisti, Gennaio 1895, pp. 59–68.

    Google Scholar 

  • Pareto, V. (1896). Ecrits sur la Courbe de la Repartition de la Richesse, Oeuvre Completes de Vilfredo Pareto publiees sous la direction de Giovanni Busino, Geneve, Librairie Droz.

    Google Scholar 

  • Pareto, V. (1897). Cours d’Economie Politique, New Edition by G.H. Bousquet et G. Busino (1964), Geneve, Librairie Droz.

    Google Scholar 

  • Patil, G.P.-Kotz, S. and Ord, J.K. editors (1975). Statistical Distributions in Scientific Work, Vol. 2, Dordrecht, D. Reidel.

    Google Scholar 

  • Pearson, K. (1894). Contributions to the Mathematical Theory of Evolution. Philosophical Transactions of the Royal Society, Vol. 184, in K. Pearson (1948), pp. 1–40.

    Google Scholar 

  • Pearson, K. (1895). Contributions to the Mathematical Theory of Evolution II: Skew-Variation in Homogeneous Material. Philosophical Transactions of the Royal Society, No. 186, in K. Pearson (1948), pp. 41–112.

    Google Scholar 

  • Pearson, K. (1948). Karl Pearson’s Early Statistical Papers, Cambridge, Cambridge University Press.

    Google Scholar 

  • Pietra, G. (1948). Studi di Statistica Metodologica, Milano, Giuffré.

    Google Scholar 

  • Rutherford, R.S.G. (1955) Income Distributions: A New Model. Econometrica, 23, 3, pp. 277–294.

    Article  Google Scholar 

  • Salem, A.B.Z. and Mount, T.D. (1974). A Convenient Descriptive Model of Income Distribution. Econometrica, 42 (6), pp. 1115–1127.

    Article  Google Scholar 

  • Sen, A.K. (1973). On Economic Inequality, Oxford, Oxford University Press.

    Book  Google Scholar 

  • Sen, A.K. (1982). Choice, Welfare and Measurement, Oxford, Basil Blackwell.

    Google Scholar 

  • Singh, S.K. and Maddala, G.S. (1976). A Function for Size Distribution of Income. Econometrica, 44 (5), pp. 963–970.

    Article  Google Scholar 

  • Thurow, L.C. (1970). Analyzing the American Income Distribution. American Economic Review, 48, pp. 261–269.

    Google Scholar 

  • Vinci, F. (1921). Nuovi Contributi alio Studio della Distribuzione dei Redditi. Giornale degli Economisti e Rivista di Statistica, 61, pp. 365–369.

    Google Scholar 

  • Weibull, W. (1951). A statistical Distribution Function of Wide Applicability. Journal of Applied Mechanics, 18, pp. 293–297.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dagum, C. (1990). Generation And Properties Of Income Distribution Functions. In: Dagum, C., Zenga, M. (eds) Income and Wealth Distribution, Inequality and Poverty. Studies in Contemporary Economics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84250-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84250-4_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52863-0

  • Online ISBN: 978-3-642-84250-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics