Inequality measures for multivariate distributions

Metron

Volumn 63, Issue 3, 2005, Pages 317-327

  Arnold, Barry C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Amato Kakwani index; Gini index; Lorenz order; Lorenz zonoid; Multivariate majorization; Pietra index

Indexed keywords

EID: 77956642720     PISSN: 00261424     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. Amato, V. (1968) Metodologia Statistica Strutturale, vol.1, Cacucci, Bari.
2. Arnold, B. C. (1983) Pareto Distributions, International Cooperative Publishing House, Fairland, Maryland.
3. Atkinson, A. B. (1970) On the measurement of inequality, Journal of Economic Theory, 2, 244-263.
4. De Simoni, S. (1979) Nota su un indice di concentrazione per variabili multiple, Quaderno dell'Istituto di Statistica, Università di Bologna, 3, 325-338.
5. Gastwirth, J. L. (1971) A general definition of the Lorenz curve, Econometrica, 39, 1037-1039.
6. Gini, C. (1914) Sulla misura della concentrazione e della variabilita dei caratteri, Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti, 73, 1203-1248.
7. Hardy, G. H., Littlewood, J.E., and Polya, G. (1934) Inequalities, Cambridge University Press, London.
8. Kakwani, N. C. (1980) Income Inequality and Poverty: Methods of Estimation and Policy Applications, Oxford University Press, New York.
9. Kolm, S.C. (1969) The optimal production of social justice, In: Public Economics, Margolis, J. and Guitton, H. (eds.), MacMillan, London, 145-200.
10. Koshevoy, G. A. (1995) Multivariate Lorenz majorization, Social Choice and Welfare, 12, 93-102.
11. Koshevoy, G. A. and Mosler, K. (1995) A geometrical approach to compare the variability of random vectors., In Discussion Papers in Statistics and Quantitative Economics, vol. 66. UniBw, Hamburg.
12. Koshevoy, G. A. and Mosler, K. (1997) Multivariate Gini indices, Journal of Multivariate Analysis, 60, 252-276.
13. List, C. (1999) Multidimensional inequality measurement: Aproposal,Working paper in Economics, No. 1999-W27, Nuffield College, Oxford.
14. Lombardo, E. (1969) Nota sulla concentrazione secondo GINI-LORENZ, In: Quaderni dell'Istituto di Statistica, Università degli Studi di Roma, Facoltà di Economia e Commercio, Roma, 5, 137-142.
15. Lunetta, G. (1972) Sulla concentrazione delle distribuzioni doppie, In: Atti della XXVII Riunione Scientifica della Società Italiana di Statistica, Palermo, 2, 127-150.
16. Lorenz, M. O. (1905) Methods of measuring the concentration of wealth, Publications of the American Statistical Association, 9, 209-219.
17. Mosler, K. (2002) Multivariate Dispersion, Central Regions and Depth: The Lift Zonoid Approach., Springer Lecture Notes in Statistics, Vol. 165, Springer, New York.
18. Pietra, G. (1915) Delle relazioni fra indici di variabilita, note I e II., Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti, 74, 775-804.
19. Scala, C. (1969) Nota sulla sensibilità di un indice di concentrazione., Atti della XXVI Riunione Scientifica della Società Italiana di Statistica, Firenze, 2, 425-433.
20. Taguchi, T. (1972) On the two dimensional concentration surface and extensions of concentration coefficient and Pareto distribution to the two dimensional case I, II., Annals of the Institute of Statistical Mathematics, 24, 355-382 and 599-619.
21. Tsui, K-Y. (1999) Multidimensional inequality and multidimensional generalized entropy measures: An axiomatric derivation, Social Choice and Welfare, 16, 145-157.
22. Weymark, J.A. (2004) The normative approach to the measurement of multidimensional inequality, Working paper #03-W14R, Department of Economics, Vanderbilt University, Nashville.