Bayesian quantile inference

Journal of Statistical Computation and Simulation

Volumn 73, Issue 9, 2003, Pages 659-674

  Tsionas, Efthymios G ^a  

^a ATHENS UNIVERSITY OF ECONOMICS AND BUSINESS   (Greece)

Author keywords

Bayesian analysis; Gibbs sampling; Kuznets curve; Laplace distribution; Quantile regression

Indexed keywords

EID: 0041417432     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/0094965031000064463     Document Type: Article

References (28)

1. Abramowitz, M. and Stegun, I. (1970). Handbook of Mathematical Functions, Dover, New York.
2. Akahira, M. and Takeuchi, K. (1993). Second order asymptotic bound for the variance of estimators for the double exponential distribution. In: Matsushita, K., et al. (Eds.), Statistical Science and Data Analysis, VSP Publishers, Amsterdam, Netherlands, pp. 375-382.
3. Andrews, D. F., Bickel, P. J., Hampel, F. R., Huber, P. J., Rogers, W. H. and Tukey, J. W. (1972). Robust Estimates of Location: Survey and Advances. Princeton University Press, Princeton.
4. Balakrishnan, N. and Cutler, C. D. (1994). Maximum likelihood estimation of the Laplace parameters based on Type-II censored samples volume. In: David Festschrift, H. A., Morrison, D. F., Nagaraja, H. N. and Sen, P. K. (Eds.), Springer Verlag, New York.
5. Bassett, G. and Koenker, R. (1978). Asymptotic theory of least absolute error regression. Journal of the American Statistical Association, 73, 618-622.
6. Bassett, G. W. and Koenker, R. W. (1982). An empirical quantile function for linear models with iid errors. Journal of the American Statistical Association, 77, 407-415.
7. Buchinsky, M. (1998). Recent advances in quantile regression models. Journal of Human Resources, 33, 88-126.
8. Cohen, W. and Levin, R. (1989). Empirical studies of innovation and market structure. In: Schmalensee, R. and Willig, E. (Eds.), Handbook of Industrial Organization, Volume 2. North-Holland, Amsterdam, pp. 1059-1117.
9. Damsleth, A. H. and El-Shaarawi, E. (1989). ARMA models with double-exponentially distributed noise. Journal of the Royal Statistical Society B, 51, 61-69.
10. Efron, B. (1986). Double exponential families and their use in generalized linear regression. Journal of the American Statistical Association, 81, 709-721.
11. Fernandez, C. and Steel, M. F. J. (1998). On Bayesian modelling of fat tails and skewness, Journal of the American Statistical Association, 93, 359-371.
12. Fernandez, C. and Steel, M. (2000). Bayesian regression analysis with scale mixtures of normals. Econometric Theory, 16, 80-101.
13. Gelfand, A. E. and Smith, A. F. M. (1990). Sampling based approaches to calculating marginal densities. Journal of the American Statistical Association, 85, 398-409.
14. Geweke,. J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8, S19-S40.
15. Hall, B. H., Cummins, C., Laderman, E. and Mundy, J. (1988). The R&D master file documentation. Technical Working Paper 72. National Bureau of Economic Research, Cambridge, MA (cited in Wang, Cockburn and Puterman, 1998).
16. Gould, W. W. (1992). Quantile regression with bootstrapped standard errors. Stata Technical Bulletin, 9, 19-21.
17. Harter, H. L., Moore, A. H. and Curry, T. F. (1979). Adaptive robust estimation of location and scale parameters of symmetric populations. Communications in Statistics-Theory and Methods 8, 1473-1492.
18. Johnson, N. L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate Distributions, 2nd ed., Volume 2. Wiley, New York.
19. Koenker, R. W. and Bassett, G. W. (1978). Regression quantiles. Economerrica 46, 33-50.
20. Koenker, R. W. and Bassett, G. W. (1982). Robust tests for heterescedasticity based on regression quantiles. Econometrics, 50, 43-62.
21. 1-estimation. Econometrica, 50, 1577-1583.
22. Roberts, C. O. and Smith, A. F. M. (1994). Simple conditions for the convergence of the Gibbs sampler and Hastings-Metropolis algorithms. Stochastic Processes and their Applications, 49, 207-216.
23. Schotman, P. and van Dijk, H. K. (1991). A Bayesian analysis of the unit root in real exchange rates. Journal of Econometrics, 49, 195-238.
24. Sugiura, N. and Naing, M. T. (1989). Improved estimators for the location of double exponential distribution. Communications in Statistics-Theory and Methods, 18, 541-554.
25. Tanner, M. A. and Wong, W. H. (1987). The calculation of posterior distributions by data augmentation (with discussion). Journal of the American Statistical Association, 82, 528-550.
26. Tierney, L. (1994). Markov chains for exploring posterior distributions (with discussion). Annals of Statistics, 22, 1701-1762.
27. Tsionas, E. G. (1999). Monte Carlo inference in econometric models with symmetric stable disturbances. Journal of Econometrics, 88, 365-401.
28. Wang, P., Cockburn, I. M. and Puterman, M. K, 1998, Analysis of patent data - A mixed-Poisson-regression-model approach. Journal of Business and Economic Statistics, 16, 2741.