Approximated distributions of sampling inequality indices

Computational Economics

Volumn 13, Issue 3, 1999, Pages 211-226

  Palmitesta, Paola ^a   Provasi, Corrado ^b   Spera, Cosimo ^a  

^a UNIVERSITY OF SIENA   (Italy)

^b Department of Statistical Sciences ^*  (Italy)

Author keywords

Algebraic computer software; Gini index family; Gram Charlier approximation; Income distribution; Monte Carlo experiment

Indexed keywords

EID: 25444462038     PISSN: 09277099     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008670808010     Document Type: Article

References (30)

1. Barton, D.E. and Dennis, K.E.R. (1952). The conditions under which Gram-Charlier and Edgeworth curves are positive definite and unimodal, Biometrika, 39, 425-427.
2. Cornish, E.A. and Fisher, R.A. (1936). Moments and cumulants in the specification of distributions, Rev. Int. Statist. Inst., 5, 307-320.
3. Cramèr, H. (1946). Mathematical Methods of Statistics. Princeton University Press, Princeton.
4. Dagum, C. (1977). A new model of personal income distribution: specification and estimation, Economie Appliquée, 30, 413-436.
5. Dagum, C. (1990). On the relationship between income inequality measures and social welfare functions, J. Econometrics, 48, 91-102.
6. Dagum, C. and Lemmi, A. (eds.) (1995). Income Distribution, Social Welfare, Inequality and Poverty. Vol. VI, Researches on Income Inequality, D.J. Slotjee (ed.), Jai Press, Greenwich.
7. David, H.A. (1981). Order Statistics, 2nd edition, Wiley, New York.
8. Fattorini, L. and Lemmi, A. (1979). Proposta di un modello alternativo per l'analisi della distribuzione del reddito. In Atti delle Giornate di Lavoro AIRO, 89-117. Bologna.
9. Gastwirth, J.L. (1971). A general definition of the Lorenz curve. Econometrica, 39, 1037-1039.
10. Gini, C. (1914). Sulla misura della concentrazione e della variabilità dei caratteri. Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti, A.A. 1913-1914, 73, 1203-1248.
11. Giorgi, G.M. and Pallini, A. (1990). Inequality indices: theoretical and empirical behavior. Statist. Papers, 31, 65-76.
12. Giorgi, G.M. and Provasi, C. (1995). An experimental analysis to verify some properties of inequality indices of the Gini family. In P. Barbini, C. Dagum, A. Lemmi and C. Provasi (eds.), Quantitative Methods for Applied Sciences, 254-285. LaNuova Immagine, Siena.
13. Johnson, N.L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate Distributions. Vol. I, 2nd edition, Wiley, New York.
14. Kakwani, N.C. (1990). Large sample distribution of several inequality measures: with application to Cote d'Ivoire. In R.A.L. Carter, J. Dutta and A. Ullah (eds.), Contribution to Econometric: Theory and Application, 50-81, Springer-Verlag, New York.
15. Khuri, A.I. (1993). Advanced Calculus with Applications in Statistics. Wiley, New York.
16. Mehran, F. (1976). Linear measures of income inequality. Econometrica, 44, 805-809.
17. Mood, A.M., Graybill, F.A. and Boes, D.C. (1974). Introduction to the Theory of Statistics. 3rd edition, McGraw-Hill, New York.
18. Nygård, F. and Sandström, A. (1981). Measuring Income Inequality, Metron. Almqvist & Wiksell International, Stockholm.
19. Nygård, F. and Sandström, A. (1988). The weighted mean difference. Metron, 46, 21-31.
20. Nygård, F. and Sandström, A. (1989). Income inequality measures based on sample survey, J. Econometrics, 42, 81-95.
21. Piesch, W. (1975). Statistische Konzentrationsmasse. Mohr (Paul Siebeck), Tubingen.
22. Provasi C. (1992). SO. Una libreria FORTRAN per il calcolo dei momenti delle statistiche ordinale di variabili casuali continue. Technical Report nr. 2, Dipartimento di Metodi Quantitativi, Université di Siena.
23. Provasi C. (1996). Using algebraic software to compute the moments of order statistics. Computational Economics, 9, 199-213.
24. Salem, A.B.Z. and Mount, T.D. (1974). A convenient descriptive model of income distribution: the gamma density. Econometrica, 42, 1115-1127.
25. Schmittlein, D.C. (1983). Some sampling properties of a model for income distribution, J. Bus. Econ. Statist., 1, 147-153.
26. Sendler, W. (1979). On statistical inference in concentration measurement. Metrika, 26, 109-122.
27. Shorack, G.R. (1972). Functions of order statistics. Ann. Math. Statist., 43, 412-427.
28. Singh, S.K. and Maddala, G.S. (1976). A function for size distribution of incomes. Econometrica, 5, 963-970.
29. Singh, M. and Singh, R.P. (1988). Approximation of first two moments and sampling distribution of Gini's coefficient. J. Indian Soc. Agric. Statist., 40, 154-163.
30. Wolfram, S. (1996). The Mathematica Book. 3rd edition, Cambridge University Press, Cambridge.