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2010 | 20 | 3-4 | 95-102

Article title

Distribution of the ratio of two independent Dagum random variables

Selected contents from this journal

Title variants

Languages of publication

EN

Abstracts

EN
An estimation procedure of the distribution of the ratio of two independent Dagum random variables is proposed. Such an issue is of remarkable importance when analyzing the characteristics of ratios of economic variables which can be described by the Dagum model. The distribution and density functions are computed via numerical procedures; a numerical method is also proposed, in order to make the computation of the distribution easier and faster. Finally, some empirical investigations are reported, in order to establish the effectiveness of the model, and an application is presented concerning the estimation of the distribution of the ratio between the expenditures of a 2-member and a 1-member household, based on the Banca d’Italia 2006 survey.

Year

Volume

20

Issue

3-4

Pages

95-102

Physical description

Contributors

  • Dipartimento di Metodi Quantitativi per le Scienze Economiche ed Aziendali, Università di Milano Bicocca, Italia
  • Dipartimento di Metodi Quantitativi per le Scienze Economiche ed Aziendali, Università di Milano Bicocca, Italia

References

  • Banca d’Italia, I bilanci delle famiglie italiane nell’anno 2006, Supplementi al Bollettino Statistico, XVII, Centro Stampa Banca d’Italia, Roma, 2008.
  • BISANTE E., FIORI A.M., Firm size distribution e modello di Dagum: un’indagine empiricasull’industria meccanica italiana, Working paper n. 181, Dipartimento di Metodi Quantitativi per leScienze Economiche ed Aziendali, Università di Milano Bicocca, Milano, 2009.
  • BURR I.W., Cumulative frequency functions, Annals of Mathematical Statistics, 1942, 13, 215–232.
  • DAGUM C., A new model for personal income distribution: specification and estimation, EconomieAppliquée, 1977, 30, 413– 437.
  • DAGUM C. Generation and properties of income distribution functions, [In:] Studies in Contemporary economics. Income and wealth distribution, inequality and poverty, C. Dagum, M. Zenga (Eds.), Springer, Berlin, 1990.
  • DANCELLI L., Tendenza alla massima ed alla minima concentrazione nel modello di distribuzione del reddito personale di Dagum, Scritti in onore di Francesco Brambilla, Vol. 1, Edizioni di Bocconi Comunicazione, Milano, 1986.
  • GRADSTHTEYN I.S., RYZHIK I.M., Table of integrals, series, and products, Academic Press, Boston, 1994.
  • KENDALL M.G., STUART A., The advanced theory of statistics, C. Griffin and Co., London, 1973.
  • KOT S.M., The estimation of the social welfare functions, Inequality aversion, and equivalence scale, International Workshop Income Distribution and Welfare, May 30th–June 1st, Università Bocconi, Milano, Italy, 2002.
  • KOT S.M., On the estimation and calibration of the social welfare function, [In:] W. Ostasiewicz (Ed.), Quality of life research, Chapter 4, Yang's Scientific Press, Tucson , USA, 2002, 61–71.
  • LATORRE G., Proprietà Campionarie del Modello di Dagum per la distribuzione dei redditi, Statistica, 1988, 48 (1–2), 15–27.
  • LATORRE G., Asymptotic distributions of indices of concentration: Empirical Verification and application, [In:] Studies in contemporary economics. Income and wealth distribution, inequality and poverty, C. Dagum, M. Zenga (Eds.), Springer, Berlin, 1989.
  • MOOD A.M., GRAYBILL F.G., BOES D.C., Introduction to the theory of statistics, Wiley, New York, 1974.
  • POLLASTRI A., Scale di equivalenza tramite l’impiego della distribuzione di Dagum, Working paper No. 62, Dipartimento di Metodi Quantitativi per le Scienze Economiche e Aziendali, Università di Milano-Bicocca, 2003.
  • POLLASTRI, A., Estimation of equivalence scales in Italy based on income distribution, Statistica et Applicazioni, 2007, 2, 131–140.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-cd42d814-efd2-4e03-b15c-5629e428c804
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