Characterizations of Lorenz curves and income distributions

Social Choice and Welfare

Volumn 17, Issue 4, 2000, Pages 639-653

  Aaberge, Rolf ^a  

^a STATISTICS NORWAY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034375362     PISSN: 01761714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003550000046     Document Type: Article

References (36)

1. Aaberge R (1982) Om måling av ulikskap. Rapporter 82/9, Statistisk sentralbyrå (In Norwegian)
2. Aaberge R (1993) Theoretical foundations of Lorenz curve orderings. Discussion Paper No. 88, Statistics Norway
3. Aaberge R (1995) Choosing measures of inequality for empirical applications. Discussion Papers no. 158, Statistics Norway
4. Atkinson AB (1970) On the measurement of inequality. J Econ Theory 2: 244-263
5. Ben Porath E, Gilboa I (1994) Linear measures, the Gini index, and the income-equality trade-off. J Econ Theory 64: 443-467
6. Bonferroni C (1930) Elementi di statistica generale. Seeber, Firenze
7. Bossert W (1990) An approximation of the single-series Ginis. J Econ Theory 50: 82-92
8. D'Addario R (1936) Curve di concentrazione, elasticitá, flessibilitá, densitá media e densitá marginale dei redditi. Cressati, Bari
9. Dardanoni V, Lambert PJ (1988) Welfare rankings of income distributions: a role for the variance and some insights for tax reforms. Soc Choice Welfare 5: 1-17
10. Davies JB, Hoy M (1994) The normative significance of using third-degree stochastic dominance in comparing income distributions. J Econ Theory 64(2): 520-530
11. Davies JB, Hoy M (1995) Making inequality comparisons when Lorenz curves intersect. Am Econ Rev 85(4): 980-986
12. Donaldson D, Weymark JA (1980) A single parameter generalization of the Gini indices of inequality. J Econ Theory 22: 67-86
13. Donaldson D, Weymark JA (1983) Ethically flexible indices for income distributions in the continuum. J Econ Theory 29: 353-358
14. Hey JD, Lambert PJ (1980) Relative deprivation and the Gini coefficient: comment. Q J Econ 94: 567-73
15. Heyde CC (1963) On a property of the lognormal distribution. J Royal Stat Soc (B) 25: 392-393
16. Kakwani NC (1980) On a class poverty measures. Econometrica 48: 437-446
17. Kendall M, Stuart A (1958) The Advanced Theory of Statistics, vol. 1. Griffin, London
18. Kolm SCH (1969) The optimal production of social justice. In: Margolis J, Guitton H (eds) Public Economics. Macmillan, New York/London
19. Kolm SCH (1976) Unequal inequalities I. J Econ Theory 12: 416-442
20. Kolm SCH (1976) Unequal inequalities II. J Econ Theory 13: 82-111
21. Lambert PJ (1993) The Distribution and Redistribution of Income: a Mathematical Analysis. Manchester University Press, Manchester
22. Mehran F (1976) Linear measures of inequality. Econometrica 44: 805-809
23. Menezes C, Geiss C, Tressler J (1980) Increasing downside risk. Am Econ Rev 70(5): 921-932
24. Muliere P, Scarsini M (1989) A note on stochastic dominance and inequality measures. J Econ Theory 49: 314-323
25. Newbery DMG (1970) A theorem of the measurement of inequality. J Econ Theory 2: 264-266
26. Nygård F, Sandström A (1981) Measuring Income Inequality. Stockholm, Almqvist and Wiksell International
27. Sen A (1973) On Economic Inequality. Clarendon Press, Oxford
28. Sen A (1974) Informational bases of alternative welfare approaches. J Pub Econ 3: 387-403
29. Shorrocks AF, Foster JE (1987) Transfer sensitive inequality measures. Rev Econ Stud 54(3): 485-497
30. Sillitto GP (1951) Interrelations between certain linear systematic statistics of samples from any continuous population. Biometrika 38: 377-382
31. Weymark J (1981) Generalized Gini inequality indices. Math Soc Sci 1: 409-430
32. Yaari ME (1987) The dual theory of choice under risk. Econometrica 55: 95-115
33. Yaari ME (1988) A controversial proposal concerning inequality measurement. J Econ Theory 44: 381-397
34. Yitzhaki S (1979) Relative depriviation and the Gini coefficient. Q J Econ 93: 321-324
35. Yitzhaki S (1983) On an extension of the Gini inequality index. Int Econ Rev 24: 617-628
36. Zoli C (1999) Intersecting generalized Lorenz curves and the Gini index. Soc Choice Welfare 16: 183-196