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2010 | 20 | 3-4 | 95-102
Article title

Distribution of the ratio of two independent Dagum random variables

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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
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  • 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.
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  • GRADSTHTEYN I.S., RYZHIK I.M., Table of integrals, series, and products, Academic Press, Boston, 1994.
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  • 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.
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  • 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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