Estimation of Lorenz curves: A Bayesian nonparametric approach

Journal of Econometrics

Volumn 115, Issue 2, 2003, Pages 277-291

  Hasegawa, Hikaru ^a   Kozumi, Hideo ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Dirichlet process; Gini index; Income distribution; Inequality; Markov chain Monte Carlo (MCMC)

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DATA REDUCTION; MONTE CARLO METHODS; PARAMETER ESTIMATION;

DIRICHLET PROCESS; INCOME DISTRIBUTION;

MARKOV PROCESSES;

EID: 0347354946     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4076(03)00098-8     Document Type: Article

References (27)

1. Antoniak C.E. Mixtures of Dirichlet processes with application to Bayesian nonparametric problems. Annals of Statistics. 2:1974;1152-1174.
2. Blackwell D. Discreteness of Ferguson Selections. Annals of Statistics. 1:1973;356-358.
3. Campolieti M. Bayesian Semiparametric estimation of discrete duration models. an application of the Dirichlet process prior Journal of Applied Econometrics. 16:2000;1-22.
4. Chotikapanich D., Griffiths W.E. Estimating Lorenz curves using a Dirichlet distribution. Journal of Business and Economic Statistics. 20:2002;290-295.
5. Cowell F.A., Victoria-Feser M.-P. Robust properties of inequality measures. Econometrica. 64:1996;77-101.
6. Cowell, F.A., Victoria-Feser, M.-P., 2001. Robust Lorenz curves: a semi-parametric approach, Distributional Analysis Discussion Paper 50, STICERD, London School of Economics, London WC2A 2AE.
7. Dagum C. A new model of personal income distribution. specification and estimation Economie Appliquée. 30:1977;413-437.
8. Dey, D., Müller, P., Sinha, D. (Eds.), 1998. Practical Nonparametric and Semiparametric Bayesian Statistics. Springer, New York.
9. Doornik J.A. Ox 3.0: An Object-Oriented Matrix Programming Language. 2001;Timberlake Consultants Ltd. London.
10. Escobar M.D. Estimating normal means with a Dirichlet process prior. Journal of the American Statistical Association. 89:1994;268-277.
11. Escobar M.D., West M. Bayesian density estimation and inference using mixtures. Journal of the American Statistical Association. 90:1995;577-588.
12. Ferguson T.S. A Bayesian analysis of some nonparametric problems. The Annals of Statistics. 1:1973;209-230.
13. Ferguson T.S. Prior distributions on spaces of probability measures. The Annals of Statistics. 2:1974;615-629.
14. Ferguson T.S. Bayesian density estimation by mixtures of normal distribution. Rizvi M.H., Rustagi J.S. Recent Advances in Statistics: Papers in Honor of Herman Chernoff on His Sixtieth Birthday. 1983;287-302 Academic Press, New York.
15. Groves R.M. Survey Errors and Survey Costs. 1989;Wiley, New York.
16. Hasegawa, H., 2002. Bayesian analysis of Lorenz curves from grouped data. Mimeographed, Hokkaido University.
17. Hirano K. Semiparametric Bayesian inference in autoregressive panel data. Econometrica. 70:2002;781-799.
18. Kakwani N.C., Podder N. On the estimation of Lorenz curves from grouped observations. International Economic Review. 14:1973;278-292.
19. Kakwani N.C., Podder N. Efficient estimation of the Lorenz curve and associated inequality measures from grouped observations. Econometrica. 44:1976;137-148.
20. Kim, Y.-S., Loup, T., Lupton, J., Stafford, F.P., 2000. Notes on the 'Income Plus' Files: 1994-1997 family income and components files. Documentation, the Panel Study of Income Dynamics ( http://www.isr.umich.edu/src/psid/income94-97/y_pls_notes.htm).
21. Kozumi H., Hasegawa H. A Bayesian analysis of structural changes with an application to the displacement effect. The Manchester School. 68:2000;476-490.
22. Lambert P.J. The Distribution and Redistribution of Income: A Mathematical Analysis. 2nd Edition:1993;Manchester University Press, Manchester.
23. McDonald J.B., Xu Y.J. A generalization of the beta distribution with application. Journal of Econometrics. 66:1995;133-152.
24. Ryu H.K., Slottje D.J. Flexible functional form approaches for approximating the Lorenz curve. Journal of Econometrics. 72:1996;251-274.
25. Ryu H.K., Slottje D.J. Parametric approximations of the Lorenz curve. Silber J. Handbook on Income Inequality Measurement. 1999;291-312 Kluwer Academic Publishers, Boston.
26. Sarabia J.-M., Castillo E., Slottje D.J. An ordered family of Lorenz curves. Journal of Econometrics. 91:1999;43-60.
27. West M., Müller P., Escobar M.D. Hierarchical priors and mixture models with application in regression and density estimation. Smith A.F.M., Freeman P. Aspects of Uncertainty: A Tribute to D.V. Lindley. 1994;363-386 Wiley, New York.