Confidence interval estimation for inequality indices of the Gini family

Computational Economics

Volumn 16, Issue 1-2, 2000, Pages 137-147

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

^a UNIVERSITY OF SIENA   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

Gini index family; Income distribution; Monte Carlo experiment; Nonparametric bootstrap

Indexed keywords

EID: 25444505012     PISSN: 09277099     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008761721593     Document Type: Article

References (24)

1. Beran, R.J. (1987). Prepivoting to reduce level error of confidence sets. Biometrika, 74, 457-468.
2. Dagum, C. (1977). A new model of personal income distribution: specification and estimation. Economie Appliquée, 30, 413-436.
3. Dagum, C. (1990). On the relationship between income inequality measures and social welfare functions. Journal of Econometrics, 48, 91-102.
4. Dagum, C. and Lemnii, A. (eds.) (1995). Researches on Income Inequality. In D.J. Slotjee (ed.), Income Distribution, Social Welfare, Inequality and Poverty, Vol. VI, Jai Press, Greenwich.
5. David, H.A. (1981). Order Statistics. Wiley, New York.
6. Davison, A.C. and Hinkley, D.V (1997). Bootstrap Methods and their Applications. Cambridge University Press, Cambridge.
7. Efron, B. (1979). Bootstrap methods: another look at the jackknife. The Annals of Statistics 7, 1-26.
8. Efron, B. (1987). Better bootstrap confidence intervals (with discussion). Journal of the American Statistical Association, 82, 171-200.
9. Efron, B. and Tibshirani, R.J. (1993). An Introduction to the Bootstrap. Chapman & Hall, New York.
10. 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, Bologna, pp. 89-117.
11. 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, Nuova Immagine, Siena, pp. 254-285.
12. Kahaner, D., Moler, C. and Nash, S. (1988). Numerical Methods and Software. Prentice Hall.
13. 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, Springer-Verlag, New York, pp. 50-81.
14. Nygård, F. and Sandström, A. (1981). Measuring Income Inequality. Almqvist & Wiksell International, Stockholm.
15. Nygård, F. and Sandström, A. (1989). Income inequality measures based on sample survey. Journal of Econometrics, 42, 81-95.
16. Palmitesta, P., Provasi, C. and Spera, C. (1999). Approximated distributions of sampling inequality indices. Computational Economics, 13, 211-226.
17. Salem, A.B.Z. and Mount, T.D. (1974). A convenient descriptive model of income distribution: the gamma density. Econometrica, 42, 1115-1127.
18. Schmittlein, D.C. (1983). Some sampling properties of a model for income distribution. Journal of Business & Economic Statistics, 1, 147-153.
19. Sendler, W. (1979). On statistical inference in concentration measurement. Metrika, 26, 109-122.
20. Shao, J. and Tu, D. (1995). The Jackknife and Bootstrap. Springer-Verlag, New York.
21. Shorack, G.R. (1972). Functions of order statistics. Ann. Math. Statist., 43, 412-427.
22. Singh, S.K. and Maddala, G.S. (1976). A function for size distribution of incomes. Econometrica, 5, 963-970.
23. Vinod, H.D. (1993). Bootstrap methods: applications in econometrics. In G.S. Maddala, C.R. Rao and H.D. Vinod (eds.), Econometrics, North-Holland, Amsterdam, pp. 629-662.
24. Vinod, H.D. (1995). Double bootstrap for shrinkage estimators. Journal of Econometrics, 68, 287-302.